Can someone help me please.

Can Someone Help Me Please.

Answers

Answer 1

The amount of loss in the mechanical energy of tha ball during the bounce is 7.35J (Option B)

How do i determine the amount of energy lost?We'll begin by obtaining the energy at the height of 5 m. Details below:Mass of object (m) = 0.5 KgInitial height (h₁) = 5 mAcceleration due to gravity (g) = 9.8 m/s²  Energy at 5m (E₁) = ?

E₁ = mgh₁

E₁ = 0.5 × 9.8 × 5

E₁ = 24.5 J

Next, we shall determine the energy during the bounce. Details below:

Mass of object (m) = 0.5 KgBounce height (h₂) = 3.5 mAcceleration due to gravity (g) = 9.8 m/s²  Energy during bounce (E₂) = ?

E₂ = mgh₂

E₂ = 0.5 × 9.8 × 3.5

E₂ = 17.15 J

Finally, we shall determine the loss in the amount energy during the bounce. This is shown below:

Energy at 5m (E₁) = 24.5 JEnergy during bounce (E₂) = 17.15 JLost energy (E) =?

E = E₁ - E₂

E = 24.5 - 17.15

E = 7.35J

Thus, the lost energy is 7.35J (Option B)

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Related Questions

3. Why don't solar eclipses happen every
month? sc.8.E.5.9
A
B
C
D
Earth's orbit around the Sun is at an
angle, which keeps Earth out of the
Moon's shadow.
Earth's tilt on its rotation axis keeps it
from falling into the Moon's shadow
during most months.
The Moon's orbit is irregular, and most
of the time the Moon is too far away to
cast a shadow on Earth.
The Moon's orbit is tilted compared
to Earth's orbit, so Earth is not in the
Moon's shadow most months.

Answers

Answer:

D: The Moon's orbit is tilted compared

to Earth's orbit, so Earth is not in the

Moon's shadow most months.

a 0.61 m copper rod with a mass of 0.043 kg carries a current of 15 a in the positive x direction. what are the magnitude and direction of the minimum magnetic field needed to levitate the rod?

Answers

The magnitude and direction of the minimum magnetic field needed to levitate the rod is 0.152 T.

The magnetic force on a current-carrying wire in a magnetic field is given by:

F = BIL sin(θ)

where B is the magnetic field,

I is the current in the wire,

L is the length of the wire in the magnetic field, and

θ is the angle between the direction of the magnetic field and the direction of the current.

Therefore, we want to find the minimum magnetic field required to levitate the copper rod the rod is levitating, the magnetic force acting upwards must be equal and opposite to the gravitational force acting downwards.

The gravitational force on the rod is given by:

F_{gravity }= mg

where m is the mass of the rod and

g is the acceleration due to gravity.

Substituting the given values, we get:

F_{gravity} = (0.043 kg) * (9.81 m/s²) = 0.42283 N

For the rod to levitate, the magnetic force must be equal in magnitude and opposite in direction to the gravitational force:

F_{magnetic} = F_{gravity}

Substituting the expression for the magnetic force, we get:

BIL sin(θ) = mg

Solving for B, we get:

B = mg / IL sin(θ)

Substituting the given values, we get:

B = (0.043 kg * 9.81 m/s²) / (15 A * 0.61 m * sin(90°))

B = 0.152 T

Therefore, the magnitude of the minimum magnetic field needed to levitate the copper rod is 0.152 T. The direction of the magnetic field should be perpendicular to the direction of the current flow in the rod, which is in the positive x direction in this case.

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A man sees a magnified image of a closely kept object by holding a simple 'clear glass' device in his hand. this device is likely to be a ____________

a) Concave mirror
b) Concave lens
c) Convex lens
d) Convex mirror​

Answers

A man sees a magnified image of a closely kept object by holding a simple 'clear glass' device in his hand. this device is likely to be a convex lens .

Option C.

What is the device described?

The device described in the scenario is a clear glass, which suggests that it is likely a lens rather than a mirror. Additionally, since the image is magnified, it is likely a converging lens that is being used to view the object.

Therefore, the device in question is most likely a convex lens (option c) that is being used as a simple magnifying glass.

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I need help again this is really important this is due tomorrow

Answers

D, invisible is not a way light can be transmitted.

How can light be transmitted?

Light can be transmitted through a medium such as air, water, glass, or a vacuum. When light is transmitted, it passes through the medium without being absorbed or reflected, allowing it to be seen on the other side of the medium. Transmission of light can occur in a straight line or can be refracted or diffracted, depending on the properties of the medium it is passing through.

Light can be absorbed by a material, which means that the energy of the light is transferred to the material. When this happens, the material may become excited, and the energy can cause a change in the material, such as heating it up, causing it to emit light, or causing a chemical reaction.

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Which of the following will increase the strength of the magnetic field? Select the TWO best answers.

A
Decrease the number of turns of the wire on the core.
B
When you decrease the current.
C
The composition of the core material.
D
The shape and size of the core.
E
The use of non-alloy materials such as glass or plastic.

Answers

Answer: Option : C and D are correct .

Explanation: Because core increases the strength of the magnetic field since core is having iron and nickel metals that helps to increase the current.

An electron is accelerated through a distance of 15mm the work done on the electron is 1.2x10^-13J calculate the force on the electron
help pleaseee

Answers

To calculate the force on the electron, we can use the equation:

work = force x distance

We know the work done on the electron is 1.2x10^-13 J and the distance through which the electron is accelerated is 15 mm or 0.015 m. Therefore, we can plug these values into the equation and solve for the force:

1.2x10^-13 J = force x 0.015 m

Dividing both sides by 0.015 m, we get:

force = 1.2x10^-13 J / 0.015 m

force = 8.0x10^-12 N

Therefore, the force on the electron is 8.0x10^-12 N.

Starting from rest, a car accelerates at 2.2 m/s2 up a hill that is inclined 5.3 ∘
above the horizontal.
Part A: How far horizontally has the car traveled in 15 s?
Part B: How far vertically has the car traveled in 15 ?
Express your answer using two significant figures.

Answers

The car travels approximately 245 m horizontally and 14.1 m vertically in 15 seconds up an inclined hill.

Section A: To find how far evenly the vehicle has gone in 15 s, we really want to utilize the equation:distance = starting speed × time + 1/2 × speed increase × time^2.Since the vehicle is beginning from rest, the underlying speed is 0. We are searching for the even distance, which is the distance along the ground. Hence, we can disregard the grade of the slope. Hence, we can utilize the level part of the speed increase, which is given by:a_horizontal = a × cosθ.where θ is the point of grade and an is the speed increase. Subbing the qualities given, we get:a_horizontal = 2.2 m/s^2 × cos(5.3°) ≈ 2.18 m/s^2.Utilizing this worth, we can find the even distance went in 15 s:distance = 0 + 1/2 × 2.18 m/s^2 × (15 s)^2 ≈ 245 m.Hence, the vehicle has voyaged around 245 m evenly in 15 s.

Part B: To find how far in an upward direction the vehicle has gone in 15 s, we want to utilize the upward part of the speed increase, which is given by:a_vertical = a × sinθ

Subbing the qualities given, we get:

a_vertical = 2.2 m/s^2 × sin(5.3°) ≈ 0.197 m/s^2

Utilizing this worth, we can find the upward distance went in 15 s:

distance = 0 + 1/2 × 0.197 m/s^2 × (15 s)^2 ≈ 14.1 m

Hence, the vehicle has voyaged roughly 14.1 m in an upward direction in 15 s.

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A fan turns a rate 900 rpm. Find the angular speed of any point on one of the fan blades and find the tangential speed of the tip of a blade if the distance from the center to the tip is 20 cm.

a. 15 rad/s & 3 m/s
b. 15 rad/s & 30 m/s
c. 94.2 rad/s & 18.8 m/s
d. 900 rad/s & 180 m/s

Answers

At 900 rpm, a fan spins. angular speed of the any point on a fan blade and tangential speed of a blade's tip if there is a 20 cm gap between the centre and the tip. 9.4 rads and 18.8 m/s.

Correct option is, C.

What is the formula for angular velocity?

A amount or angle rotated (and angular displacement) by a rotating body in a given length of time is known as the angular velocity of the body. The symbol for it is omega (). The formula for angular velocity is rad/s = dtd. Radian per second serves as its SI unit.

What is the SI unit for angular momentum?

The product of a moment of inertia (I) as well as the angular velocity () of the an object in rotation is the angular momentum. A vector quantity is angular momentum. Kg. m2 is the SI unit for angular momentum.

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Calculate the magnitude of the gravitational force exerted by Venus on a 65 kg human standing on the surface of Venus. (The mass of Venus is 4.9x1024 kg and its radius is 6.1x106 m.) N Calculate the magnitude of the gravitational force exerted by the human on Venus. N For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 3.5 meters away. N What approximations or simplifying assumptions must you make in these calculations? (Note: Some of these choices are false because they are wrong physics!) Treat the humans as though they were points or uniform-density spheres. Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another. Treat Venus as though it were spherically symmetric. Use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses.

Answers

To calculate the magnitude of the gravitational force exerted by Venus on a 65 kg human standing on the surface of Venus, we use Newton's Law of Universal Gravitation and it will be 6.3 x 10-6 N

This states that the gravitational force (F) between two masses (m1 and m2) separated by a distance (r) is given by the equation:

F = G * (m1 * m2) / r2

Where G is the gravitational constant, which is 6.67 x 10-11 Nm2/kg2. Using this equation and the given values, we have:

F = 6.67 x 10-11 * (4.9 x 1024 * 65) / (6.1 x 106)2

F = 3.3 x 105 N

To calculate the magnitude of the gravitational force exerted by the human on Venus, we use the same equation as before, but with the masses of the human and Venus reversed. This gives:

F = 6.67 x 10-11 * (65 * 4.9 x 1024) / (6.1 x 106)2

F = 4.0 x 10-6 N

For comparison, the approximate magnitude of the gravitational force of the human on a similar human who is standing 3.5 meters away can be calculated using the same equation. The masses of both humans are the same, so we have:

F = 6.67 x 10-11 * (65 * 65) / (3.5)2

F = 6.3 x 10-6 N

To calculate the gravitational force in both cases, we had to make the following approximations or simplifying assumptions:

Treat the humans as though they were points or uniform-density spheres.

Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another

And Treat Venus as though it were spherically symmetric.

We also had to use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses.

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The satellite orbits at a distance from the center of the moon. Which of the following is a correct expression for the time it takes the satellite to make one complete revolution around the moon?
A) T = 2π[tex]\sqrt \frac{R^3}{Gm}[/tex]
B) T = 2π[tex]\sqrt\frac{R^3}{GM}[/tex]
C) T = 2π[tex]\sqrt\frac{Gm}{R^3}[/tex]
D) T = 2π[tex]\sqrt\frac{GM}{R^3}[/tex]

Answers

Answer:

[tex]\displaystyle 2\, \pi\, \sqrt{\frac{R^{3}}{G\m M}}[/tex], where [tex]R[/tex] is the orbital radius, [tex]M[/tex] is the mass of the Moon, and [tex]G[/tex] is the gravitational constant.

Explanation:

Let [tex]m[/tex] denote the mass of the satellite. Let [tex]R[/tex] denote the orbital radius, let [tex]M[/tex] denote the mass of the Moon, and let [tex]G[/tex] denote the gravitational constant.

The Moon would exert the following gravitational attraction on the satellite:

[tex]\displaystyle \frac{G\, M\, m}{R^{2}}[/tex].

Let [tex]\omega[/tex] denote the angular velocity of the satellite. For the satellite to stay in this orbit of radius [tex]R[/tex], the net force on the satellite needs to be:

[tex]m\, \omega^{2}\, R[/tex].

Since the gravitational force is the only force on this satellite, the net force on the satellite would be equal to the gravitational force:

[tex]\displaystyle m\, \omega^{2}\, R = \frac{G\, M\, m}{R^{2}}[/tex].

Rearrange this equation to find the angular velocity:

[tex]\displaystyle \omega^{2} = \frac{G\, M}{R^{3}}[/tex].

[tex]\displaystyle \omega = \sqrt{\frac{G\, M}{R^{3}}}[/tex].

Note that with the Moon as the center, a full revolution around the Moon would take an angular distance of [tex]2\, \pi[/tex]. Divide the angular distance by the angular velocity to find the time required for this revolution:

[tex]\begin{aligned}T &= \frac{2\, \pi }{\omega} && \genfrac{}{}{0}{}{\text{angular displacement}}{\text{angular velocity}} \\ &= 2\, \pi \, \sqrt{\frac{R^{3}}{G\, M}}\end{aligned}[/tex].

you toss a racquetball directly upward and then catch it at the same height you released it 1.56 s later. assume air resistance is negligible. (a) what is the acceleration of the ball while it is moving upward? magnitude m/s2 direction ---select--- (b) what is the acceleration of the ball while it is moving downward? magnitude m/s2 direction ---select--- (c) what is the acceleration of the ball while it is at its maximum height? magnitude m/s2 direction ---select--- (d) what is the velocity of the ball when it reaches its maximum height? magnitude m/s direction ---select--- (e) what is the initial velocity of the ball? magnitude m/s direction ---select--- (f) what is the maximum height that the ball reaches?

Answers

The correct answer for all questions are: a), b) & c) will be acceleration due to gravity g=9.8 m/s^2, d) 0 m/s, e) 7.644 m/s, f) 2.977 m

A) The acceleration of the ball while it is moving upward is the acceleration due to gravity, which is 9.8 m/s2 in the downward direction.

B) The acceleration of the ball while it is moving downward is also the acceleration due to gravity, which is 9.8 m/s2 in the downward direction.

C) The acceleration of the ball while it is at its maximum height is still the acceleration due to gravity, which is 9.8 m/s2 in the downward direction.

D) The velocity of the ball when it reaches its maximum height is 0 m/s, because it has stopped moving upward and is about to start moving downward.

E) The initial velocity of the ball can be found using the equation v = v0 + at, where v is the final velocity, v0 is the initial velocity, a is the acceleration, and t is the time.

Since the ball is caught at the same height it was released, the final velocity is equal to the initial velocity, but in the opposite direction. Therefore, v = -v0. Plugging in the values for a (9.8 m/s2) and t (1.56 s), we get:

-v0 = v0 + (9.8 m/s2)(1.56 s)

Solving for v0, we get:

v0 = (9.8 m/s2)(1.56 s)/2

v0 = 7.644 m/s

The initial velocity of the ball is 7.644 m/s in the upward direction.

F) The maximum height that the ball reaches can be found using the equation h = v0t + (1/2)at2, where h is the height, v0 is the initial velocity, t is the time, and a is the acceleration.

Plugging in the values for v0 (7.644 m/s), t (1.56 s/2 = 0.78 s), and a (9.8 m/s2), we get:

h = (7.644 m/s)(0.78 s) + (1/2)(9.8 m/s2)(0.78 s)2

h = 2.977 m

The maximum height that the ball reaches is 2.977 m.

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The wires in a piano vibrate, but fractions of the wire also vibrate at different frequencies than the whole wire. What is the term
for the softer notes produced by these different frequencies? (1 point)
O interference
O pitch
O resonance
Oharmonics

Answers

the answer to the question is pitch

If the water vapor comprises 0. 2% of an air parcel and the pressure exerted by it is 1mb, what is the total atmospheric pressure of the parcel?

Answers

If the water vapor comprises 0.2% of an air parcel and the pressure exerted by it is 1 mb, we can use the ideal gas law to determine the total atmospheric pressure of the parcel.

The ideal gas law states that:

PV = nRT

where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the ideal gas constant, and T is the absolute temperature.

Assuming that the air in the parcel behaves as an ideal gas, we can use the ideal gas law to relate the pressure of the water vapor to the total atmospheric pressure of the parcel.

Let's assume that the total number of moles of gas in the parcel is N. Since the water vapor comprises 0.2% of the parcel, the number of moles of water vapor in the parcel is 0.002N. Therefore, the number of moles of dry air in the parcel is (1 - 0.002)N = 0.998N.

Using the ideal gas law, we can write:

(P_water vapor)(V) = (0.002N)(R)(T)

(P_dry air)(V) = (0.998N)(R)(T)

Adding these two equations together, we get:

P total can be solved as follows:

N(R)(T) / V Equals P total

(P_total)(V) = N(R)(T)

where P_total is the total atmospheric pressure of the parcel.

Therefore, we can solve for P_total as:

P_total = (N(R)(T)) / V

We can substitute the value of P_water vapor, which is 1 mb, into the first equation to find the volume of the water vapor in the parcel. Then, we can substitute the given values of N, R, and T, and the calculated volume of the water vapor into the equation for P_total to find the total atmospheric pressure of the parcel.

In summary, by using the ideal gas law and assuming that the air in the parcel behaves as an ideal gas, we can determine the total atmospheric pressure of the parcel given the pressure and volume of the water vapor, and the temperature and total number of moles of gas in the parcel.

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Heeelp please…
.
.
.

Answers

The reason that the melting point of table salt is higher than that of sugar is A, the particles of salt are attracted more strongly than those of sugar.

How is melting point measured?

Melting point is measured by heating a substance until it melts and then recording the temperature at which melting occurs. This is typically done using a device called a melting point apparatus or a melting point apparatus.

The sample is placed in a small capillary tube and inserted into the melting point apparatus, which heats the sample gradually and detects the temperature at which the first signs of melting are observed. The temperature is recorded as the melting point of the substance.

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Image transcribed and translated:

What is the reason that the melting point of table salt is higher than that of sugar?

A. The particles of salt are attracted more strongly than those of sugar.

B. The particles of sugar are attracted more strongly than those of salt.

C. The particles of salt are attracted more weakly than those of sugar.

D. The particles of sugar repel while those of salt attract.

What is the unknown mass of the second box shown in the collision below?

Before collision: v= 6 m/s, 7kg
stationary: m

After collision: v= 2 m/s, 7 kg, m


Answers

Answer:

We can use conservation of momentum to solve for the unknown mass of the second box. The total momentum before the collision is equal to the total momentum after the collision.

Before collision:

p = m1v1 = (7 kg)(6 m/s) = 42 kg m/s

After collision:

p = m1v1 + m2v2 = (7 kg)(2 m/s) + m(2 m/s)

Setting the two expressions for momentum equal to each other, we can solve for m2:

42 kg m/s = (7 kg)(2 m/s) + m(2 m/s)

42 kg m/s = 14 kg m/s + 2m kg m/s

28 kg m/s = 2m kg m/s

m = 14 kg

Therefore, the mass of the second box is 14 kg

till what time the balloon expands when the pressure of outside air is greater than than the inside pressure or equal?​

Answers

theee balloon will expand as long as the pressure of the outside air is greater than or equal to the pressure inside the balloon. The expansion will stop once the pressure inside the balloon becomes equal to the pressure outside!

List down the forces you exert from the moment you wake up in the morning to the time you go to sleep. At least five and write or draw in a short bond paper

Answers

Here are at least five forces that people may exert from the moment they wake up in the morning to the time they go to sleep:

Gravitational force: This force is exerted on our bodies from the moment we wake up in the morning, keeping us grounded to the surface of the earth. Muscular force: As we move and perform daily activities, our muscles exert force to lift, carry, push, or pull objects. Frictional force: This force is exerted when we walk or run, helping us grip the ground and move forward. Air resistance force: As we move through the air, our bodies and clothing experience air resistance, which can affect our movement and speed. Electrical force: Our nervous system relies on electrical signals to communicate with our muscles and organs, which help us perform various actions throughout the day. These forces may vary depending on the activities a person engages in throughout their day, but they all play a role in the functioning of our bodies and the world around us.

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Which statement describes the location of an earthquake’s epicenter?

It is located using a single set of data.
It is determined by the Mercalli Scale.
It is determined by the arrival time of surface waves.
It is located at the point directly above the focus

Answers

Answer:

it is located at the point directly above the focus

Answer:

D

Explanation:

On what factors resistance of conductor at given temperature depends , derive relevant formula

Answers

The resistance of a conductor at a given temperature depends on three factors: the material of the conductor, the length of the conductor, and the cross-sectional area of the conductor.

The formula for calculating the resistance of a conductor is:

R = ρ (L / A)

where R is the resistance, ρ (rho) is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area of the conductor.

The resistivity of a material is a constant that depends on the material and the temperature of the conductor. It is usually given in units of ohm-meters (Ωm). The resistivity of a material increases with temperature, which means that the resistance of a conductor also increases as the temperature of the conductor increases.

The length of the conductor also affects its resistance. The longer the conductor, the greater its resistance. This is because the longer the conductor, the more collisions there are between electrons and the atoms in the material, which hinders the flow of current.

The cross-sectional area of the conductor also affects its resistance. The larger the cross-sectional area, the lower the resistance. This is because a larger cross-sectional area provides more space for the electrons to flow, which reduces the number of collisions between the electrons and the atoms.

In summary, the resistance of a conductor at a given temperature depends on the resistivity of the material, the length of the conductor, and the cross-sectional area of the conductor. These factors are taken into account in the formula for calculating the resistance of a conductor, which is R = ρ (L / A).

Give me the 4 types of energy in this scrabled letters..

1.WERPODROHY
2.SILSOF LEFUS
3.SAGOBI
4.MALTHERDRODEN GREENY

Answers

Answer:

1st is hydropower

2nd is fossil fuels

determine the total angular momentum of the two-disk system after the smaller disk is dropped on the larger one.

Answers

The total angular momentum of the two-disk system after the smaller disk is dropped on the larger disk is [tex]\omega _2 = (I_1\times \omega _1) / (I_1 + m_2 \times r^2)[/tex].

The total angular momentum of the two-disk system after the smaller disk is dropped on the larger one will depend on the initial angular momenta of the two disks and any changes that occur when they collide.

Assuming the system is isolated, the total angular momentum before and after the collision must be conserved. Before the collision, we can assume that the smaller disk has an initial angular momentum of zero since it is not rotating, and the larger disk has an initial angular momentum given by:

[tex]L_1 = I_1 \times \omega_1[/tex]

where [tex]I_1[/tex] is the moment of inertia of the larger disk and ω₁ is its initial angular velocity.

When the smaller disk is dropped onto the larger one, there will be a transfer of angular momentum from the smaller disk to the larger one. The final angular velocity of the combined system will depend on the moment of inertia of the combined system, which can be approximated as:

[tex]I_2  I_1 + m_2 \times r^2[/tex]

Where m_2 is the mass of the smaller disk and r is the distance from the center of the larger disk to the point where the smaller disk makes contact. We assume that the collision is elastic and that no external forces act on the system, so angular momentum is conserved:

[tex]L_1 = L_2[/tex]

[tex]I_1 \times \omega _1 = (I_1 + m_2 \times r^2) \times \omega _2[/tex]

Solving for ω₂, we get:

[tex]\omega _2 = (I_1\times \omega _1) / (I_1 + m_2 \times r^2)[/tex]

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If the sun somehow became twice as massive, your weight as normally measured here on earth would A) double. B) quadruple. C) not change

Answers

Even if the sun doubled in size, a person's weight on earth wouldn't alter.

If the sun somehow became twice as massive, your weight as normally measured here on earth would not change.

This is because weight is the force of gravity acting on an object, which depends on the mass of the object and the distance between the centers of mass of the two objects. While the mass of the sun has doubled, the distance between the centers of mass of the earth and the sun remains the same. Therefore, the gravitational force acting on the earth and on a person on the earth remains the same.

As a result, the weight of a person on the earth would not change if the sun became twice as massive.

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A runner with a mass of 90 kg accelerates from 0 to 8 m/s in 4 s. Find the net force on the runner using the alternate form of newton's second law

Answers

Answer: 180 Newtons.

Explanation:

The alternate form of Newton's second law states that force (F) is equal to mass (m) multiplied by acceleration (a):

F = m x a

In this problem, the mass of the runner (m) is 90 kg, and the acceleration (a) can be found by dividing the change in velocity (8 m/s) by the time interval (4 s):

a = (8 m/s) / (4 s) = 2 m/s^2

Substituting the values into the equation for force:

F = 90 kg x 2 m/s^2

F = 180 N

Therefore, the net force on the runner is 180 Newtons.

Which property of the Sun most affects the
strength of gravitational attraction between
the Sun and Earth?

A mass
B radius
C shape
D temperature

Answers

Answer:

mass

Explanation:

The property of the Sun that most affects the strength of gravitational attraction between the Sun and Earth is A) mass. The greater the mass of an object, the stronger its gravitational pull. The Sun has a mass that is more than 300,000 times that of Earth, so its gravitational force is strong enough to keep the Earth in orbit around it.

A sample of helium gas occupies 5 liters at 22°C and a gauge pressure of 200,000 pascals. What is the mass of the gas? (The gas constant for helium is 2.08 x 103 J/kg-K.)

Answers

A sample of helium gas occupies 5 liters at 22°C and a gauge pressure of 200,000 pascals. The mass of the gas is 0.16 gm. It is calculated using ideal gas equation.

Define gauge pressure.

When compared to atmospheric pressure, gauge pressure is the pressure that is higher; it is positive for pressures over atmospheric pressure and negative for pressures below atmospheric pressure. Every fluid that is not contained experiences additional pressure due to the atmospheric pressure.

Gauge pressure, which is equal to the difference between absolute and atmospheric pressure and is zero-referenced against ambient air pressure, is the additional pressure in any system relative to atmospheric pressure. The absence of the negative sign serves to distinguish the negative pressure and is typically ignored.

The word "vacuum" can be given a value, and the gauge is referred to as a vacuum gauge. When internal pressure exceeds atmospheric pressure in a given area, the phrase gauge pressure is employed.

Using the formula:

PV = nRT

substituting the values and solving for n:

n = 0.04 moles

mass = 0.04 × 4 = 0.16g

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two out-of-tune flutes play the same note. one produces a tone that has a frequency of 262 hz, while the other produces 266 hz. when a tuning fork is sounded together with the 262 hz tone, a beat frequency of 1 hz is produced. when the same tuning fork is sounded together with the 266-hz tone, a beat frequency of 3 hz is produced. what is the frequency of the tuning fork?

Answers

When the same tuning fork is sounded together with the 266-hz tone, a beat frequency of 3 hz is produced, the frequency of the tuning fork is: 264 Hz.

When two out-of-tune flutes play the same note, and one produces a tone that has a frequency of 262 Hz, and the other produces 266 Hz. The beat frequency of 1 Hz is produced when a tuning fork is sounded together with the 262 Hz tone, and the same tuning fork is sounded together with the 266-Hz tone.

In this case, the frequency of the tuning fork is required. The formula for beat frequency is expressed as follows: Beat frequency = frequency 2 − frequency 1

The frequency of the tuning fork can be determined by subtracting the frequency of the 266 Hz tone from that of the 262 Hz tone (i.e. 266 - 262 = 4 Hz).

This implies that the tuning fork is 4 Hz higher than the 266 Hz tone. The beat frequency of 3 Hz when the same tuning fork is sounded together with the 266 Hz tone implies that the tuning fork's frequency is 3 Hz lower than the 269 Hz tone. The average of these two frequencies is 264 Hz (i.e. 266 Hz - 2 Hz). Therefore, the frequency of the tuning fork is 264 Hz.

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A car approaches a stop sign going 5 m/s before it comes to a stop. If it does this in 4 seconds, what was its acceleration?

Answers

Answer:

[tex]a = - \frac{5}{4} \: m{s}^{ - 2}[/tex]

Explanation:

a = acceleration (m/s²)

v = final velocity (m/s) = 0

u = initial velocity (m/s) = 5

t = time (s) = 4

[tex]a = \frac{v - u}{t} \\ a = \frac{(0 - 5)}{4} \\ a = - \frac{5}{4} [/tex]

If an object is suspended from a ceiling by a cord of length 16
ft, then the period of oscillation will be

Answers

4.43 seconds

The length of the pendulum and the acceleration caused by gravity affect how long an object will oscillate when it is suspended from the ceiling by a 16-foot string.

The following formula determines a pendulum's period T:

T = 2π * sqrt(L/g)

where g is the acceleration caused by gravity and L is the pendulum's length.

The pendulum in this scenario is 16 feet long. The acceleration brought on by gravity is roughly 32 feet per second. As a result, the oscillation period T is:

T = 2π * sqrt(16/32) = 2π * sqrt(1/2) = 2π * 0.707 = 4.43 seconds (approximately)

T = 2π * sqrt(16/32)

  = 2π * sqrt(1/2)

  = 2π * 0.707  

  = 4.43 seconds (approximately)

Thus, the object's period of oscillation is approximately 4.43 seconds.

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3. show your calculations for the following quantities for 1.5 v. include formula and show all your work.

Answers

The calculation for the quantity for 1.5 V is simple: 1.5V = 1.5 x 1 = 1.5. The formula for this calculation is V = Voltage x 1, where V is the quantity. The calculation for 1.5V is shown below:

1.5V = 1.5 x 1 = 1.5, By multiplying 1.5 with 1, we get 1.5. This is the calculation for 1.5V.


To understand the calculation of 1.5V better, it is important to first understand the basic unit of electricity - volts. Volts measure the force of electricity in a circuit. It is the amount of electricity that flows through the circuit and is measured in terms of voltage. The higher the voltage, the more electricity is available in the circuit.


To calculate the quantity of electricity for 1.5V, we need to multiply 1.5 with 1. This is the calculation for 1.5V. By multiplying 1.5 with 1, we get 1.5, which is the quantity of electricity for 1.5V.

In conclusion, the calculation for the quantity of electricity for 1.5V is 1.5 x 1 = 1.5. This calculation can be represented using the formula V = Voltage x 1, where V is the quantity.

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A disk with radius R has uniform surface charge density σ.


Part A


By regarding the disk as a series of thin concentric rings, calculate the electric potential V at a point on the disk's axis a distance x from the center of the disk. Assume that the potential is zero at infinity. (Hint: Use the result that potential at a point on the ring axis at a distance x from the center of the ring is V=14πϵ0Qx2+a2√ where Q is the charge of the ring. )


Express your answer in terms of the given quantities and appropriate constants.


Part B


Calculate −∂V/∂x.


Express your answer in terms of the given quantities and appropriate constants

Answers

Part A: The electric potential V at a point on the disk's axis a distance x from the center of the disk is given by:

V = σ/2ε₀ × [tex](R^{2}/(x^{2} +R^{2} )^{1/2})[/tex]

Part B: After calculating for −∂V/∂x we get:

-∂V/∂x = σR²x/2ε₀[tex](x^{2}+R^{2})^{3/2}[/tex]

Part A:

The disc can be split into a number of thin, concentric rings in order to compute the electric potential V at a point on its axis that is located x distance from the disk's centre.

Each ring's potential is determined by:

[tex]V_{ring}[/tex] = 1/4πε₀ × ([tex]Q_{ring}[/tex] /  [tex](x^{2} +R^{2} )^{1/2}[/tex])

where

[tex]Q_{ring}[/tex] is the charge of the ring and

ε₀ is the permittivity of free space.

Since

the disk has uniform surface charge density σ, the charge on each ring is given by:

[tex]Q_{ring}[/tex] = σ × 2πr × dr

where

r is the radius of the ring and

dr is its thickness.

By substituting [tex]Q_{ring}[/tex] into the expression for [tex]V_{ring}[/tex], we get:

[tex]V_{ring}[/tex] = 1/4πε₀ × (σ × 2πr × dr / [tex](x^{2} +R^{2} )^{1/2}[/tex])

By integrating across all the rings, it is possible to get the total potential V at any point along the axis of the disc:

V = ∫V_ring

V = ∫(1/4πε₀ × (σ x 2πr × dr / [tex](x^{2} +R^{2} )^{1/2}[/tex])

V = σ/2ε₀ × ∫(r / [tex](x^{2} +R^{2} )^{1/2}[/tex]) dr from 0 to R

By evaluating the integral and simplifying, we get:

V = σ/2ε₀ × [[tex](R^{2}/(x^{2} +R^{2} )^{1/2})[/tex] - [tex](0/(x^2+0^2)^{1/2})[/tex]]

V = σ/2ε₀ × [tex](R^{2}/(x^{2} +R^{2} )^{1/2})[/tex]

Therefore, the electric potential V at a point on the disk's axis a distance x from the center of the disk is given by:

V = σ/2ε₀ × [tex](R^{2}/(x^{2} +R^{2} )^{1/2})[/tex]

Part B:

To find the value of −∂V/∂x,

The derivative of the equation for V with regard to x must be taken:

∂V/∂x = -σR²x/2ε₀[tex](x^{2}+R^{2})^{3/2}[/tex]

Hence, the expression for −∂V/∂x is:

-∂V/∂x = σR²x/2ε₀[tex](x^{2}+R^{2})^{3/2}[/tex]

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