at what speed do a bicycle and its rider, with a combined mass of 120 kg , have the same momentum as a 1200 kg car traveling at 5.0 m/s ? express your answer to two significant figures and include the appropriate units.

Answer:

One possible reason is that change in velocity is greater for the individual with lower mass.

Explanation:

By Newton's Law of Mechanics, magnitude of the force on two players would be the same in the collision. Let [tex]F[/tex] denote this magnitude.

Assume that the duration of the collision is [tex]\Delta t[/tex]. In this collision, magnitude of the impulse [tex]J[/tex] on each player would be the same: [tex]J = F\, \Delta t[/tex].

At the same time, impulse is equal to the change in momentum. Specifically, if the mass of one player is [tex]m[/tex] and the change in their velocity is [tex]\Delta v[/tex], the change in their momentum would be [tex]m\, \Delta v[/tex]. Thus:

[tex]m\, \Delta v = J = F\, \Delta t[/tex].

Rearrange to obtain an expression for the change in velocity:

[tex]\begin{aligned}\Delta v &= \frac{J}{m} = \frac{F\, \Delta t}{m}\end{aligned}[/tex].

In other words, in this collision, change in velocity is inversely proportional to the mass of the participant. Hence, even though the two players experienced force of the same magnitude, the participant with a lower mass would experience a greater change in velocity.

The glass bead has a 0.001 m radius. The distance between the first and second points from the bead's center is 0.003 and 0.005 meters, respectively.

The radius of a circular is the distance a circle's center from any point along its perimeter. Usually, "R" or "r" is used to indicate it.

A radius is indeed a line segment that has one endpoint in the circle's center and the other terminus on the circumference of the circle. Circle's diameter equals the radius The diameter of a circle is a line segment that has its ends on the circle and passes through its center. Radius x 2 equals the diameter.

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Only in the presence of an electric potential difference does the electric field exist. There won't be any electric field if the charge is homogeneous throughout, regardless of how high the electric potential is.

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With the use of formula, the time taken for the ball to reach you is 31.6 s

Acceleration can be defined as velocity change per time taken. It is a vector quantity.

Given that your friend, who is in a field 70 meters away from you, kicks a ball towards you with an initial velocity of 18 m/s. assuming the grass causes the ball to decelerate at a constant rate of 1.0 m/s2, to know how long it takes for the ball to reach you, we will use the formula

s = ut - 1/2at² where

v = 0

u = 18 m/s

a = 1 m/s²

s = 70 m

t = ?

70 = 18t - 1/2 × 1 × t²

70 = 18t - 0.5t²

Multiply all by 2

140 = 36t - t²

t² - 36t + 140 = 0

Using completing the square method

t² - 36t + 18² = 18² - 140

( t - 18 )² = 324 - 140

( t - 18 )² = 184

t - 18 = √184

t = 18 + 13.6 or 18 - 13.6

t = 31.6 s or 3.4 s

Therefore, the ball will reach you in the next 31.6 s

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When the graph of distance travelled with time is not straight, it implies that the acceleration is constant.

The acceleration of an object is the rate of change of velocity with time.

Mathematically, the formula for the acceleration of an object is given as;

a = Δv / Δt

where;

The slope of velocity time graph is acceleration. This implies that acceleration increases with increase in velocity of an object.

However, if the graph of the distance travelled by an object with time is straight, it implies that the velocity is not uniform.

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So the net force acting on the tanker is: F_net = sqrt(Fx^2 + Fy^2) = 2.4 x 10^4 N And the acceleration of the tanker is: a = F_net / m = 2.4 x 10^4 N / 3.3 x 10^7 kg = 7.27 x 10^-4 m/s^2.

How to calculate net force and acceleration?

To find the acceleration of the tanker using vector methods, we can use the following equation:

F_net = ma

where F_net is the net force acting on the tanker, m is the mass of the tanker, and a is the acceleration of the tanker.

In this case, the two tugboats are pulling in opposite directions, so we need to find the vector sum of their forces to find the net force acting on the tanker.

Using the component method, we can find that the x-component of the net force is:

Fx = 2.4 x 10^4 N * cos(16) - 2.4 x 10^4 N * cos(9) = -2.4 x 10^4 N

and the y-component of the net force is:

Fy = 2.4 x 10^4 N * sin(16) + 2.4 x 10^4 N * sin(9) = 0 N

So the net force acting on the tanker is:

F_net = sqrt(Fx^2 + Fy^2) = 2.4 x 10^4 N

And the acceleration of the tanker is:

a = F_net / m = 2.4 x 10^4 N / 3.3 x 10^7 kg = 7.27 x 10^-4 m/s^2

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The force in newtons that is exerted on a car during the given time is 3,223.68N.

Force refers to a physical quantity that denotes ability to push, pull, twist or accelerate a body.

The force exerted on an object can be calculated by multiplying the mass of the body by the acceleration as follows:

Force = mass × acceleration

Force = mass × speed/time

According to this question, a small car (1400 kg) moving 35 m/s gradually comes to a complete stop when the brakes are applied. It comes to a complete stop over a period of 15.2 seconds.

Force = 1400 × 35/15.2

Force = 3,223.68N

Therefore, 3,223.68N is the force acting on the small car.

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The baseball's change in momentum is equal to the impulse applied to it. An object's momentum is determined by multiplying its mass by its velocity. The baseball received an impulse with a magnitude of -5.39 kg*m/s.

The baseball's change in momentum is equal to the impulse applied to it. An object's momentum is determined by multiplying its mass by its velocity.

The baseball's initial momentum is equal to 0.11 kg times 20 m/s, or 2.2 kg/s.

The baseball's ultimate velocity is calculated as (0.11 kilogramme) * (-29 m/s) = -3.19 kgm/s.

The difference between the baseball's final and starting velocities, or its change in momentum, is equal to 5.39 kg*m/s (final momentum - beginning velocities = -3.19 kgm/s - 2.2 kgm/s).

As a result, the baseball received an impulse with a magnitude of -5.39 kg*m/s.

Due to the ultimate velocity being in the opposite direction of the original vector, the impulse is negative.

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The minimum distance at which an automatic braking system needs to activate to avoid hitting a stationary object is 2.5 meter. The correct answer is a.

To calculate this, we can use the equation:

distance = initial velocity² / (2 × deceleration).

In this case, the initial velocity is 10 m/s and the deceleration is 2 m/s². Plugging these values into the equation gives us:

distance = 10² / (2 × 2)

distance = 25 meter

Since the car's speed is slowing down at a rate of 2m/s², the car will need 25 meter distance to come to a complete stop. However, the question asked for the minimum distance at which the automatic braking system needs to activate, therefore the minimum distance at which the automatic braking system needs to activate is 10% of the stopping distance which is:

10/100 × 25 = 2.5 meter

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The magnitude of the average electric field in between the two points is 480V/m

Electric field is an important concept in physics that describes the force exerted by a charged particle or object on other particles or objects in its vicinity. It is a vector field, meaning it has both magnitude and direction. The electric field is created when an electric charge is placed in a region of space. The electric field will then act on any other charges in the region, producing a force on them.

Electric field (E) is defined as the electric potential difference (V) divided by the distance (d) between two points:
E = V / d
In this case, the electric potential difference is 120V and the distance between the two points is 0.25m. Therefore, the magnitude of the average electric field in between the two points is:
E = 120V / 0.25m = 480V/m

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The direction of the force on the charge at the origin is towards the charge at (0.53, 0.41) m, since the charges have opposite signs and attract each other.

The direction of the force exerted on a point charge at the origin by a second point charge can be found using Coulomb's law, which states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula for the force is:

F = k * q1 * q2 / r^2

where k is the Coulomb constant (8.99 x 10^9 N * m^2 / C^2), q1 and

q2 are the charges, and

r is the distance between the charges.

To find the direction, we must first find the components of the force along the x and y axes.

Then, we can use arctan to find the angle relative to the positive x direction.

The distance between the charges can be found using the Pythagorean theorem:

[tex]r = \sqrt{((0.53 m)^2 + (0.41 m)^2)[/tex] = 0.65 m

The x and y components of the force can then be found using the formula:

Fx = F * cos(θ) = k * q1 * q2 * x / r^3

Fy = F * sin(θ) = k * q1 * q2 * y / r^3

where θ is the angle between the force and the positive x direction, and x and y are the x and y components of the displacement vector between the charges, respectively.

Finally, the direction of the force can be found using arctan:

θ = arctan(Fy / Fx)

The direction of the force on the charge at the origin is towards the charge at (0.53, 0.41) m,

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The first surviving term in the distant field in this situation might be referred to as a quadrupolar field.

The determination that the first surviving term in the distant field is a quadrupolar field is based on the fact that the net charge and the visible dipoles in the arrangement cancel out, leaving no monopolar or dipolar fields.

A quadrupole is a distribution of charges in which there are two positive and two negative charges of equal magnitude and opposite sign, arranged symmetrically about a central point.

A quadrupole generates a quadrupolar field, which falls off as the inverse cube of the distance from the source, as opposed to the inverse square of the distance for a dipole.

So when a net charge and dipoles are cancelled, the next term that could survive is the quadrupolar term.

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The magnitude of the electric force on the electron is 2360 N and it points due east.

Electric force is an attractive or repulsive force between two particles that have an electric charge. This force is generated when two charged particles interact due to their charges. The strength of the electric force depends on how much charge each particle has, as well as their distance from each other. Electric forces are responsible for phenomena such as static electricity and lightning, and they can also be used to power electric motors and other devices.

This is because an electric field exerts a force on a charged particle in the direction that is opposite to the direction of the field. Since the electric field points due east, then the force on the electron will point due west.

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Frequency of the waves increases as the student dips his foot faster.

What is frequency?

Frequency is a measure of how often something occurs over a given period of time. It can be used to measure the rate of events, such as the number of times a sound or light wave occurs in a given second. Frequency is measured in hertz (Hz), which is the number of occurrences per second. Frequency can also refer to the number of times a certain event occurs in a given sample size, such as the number of times a person visits a website in a month. It is a common measure used in statistics and is often used to compare data sets.

Therefore, Frequency of the waves increases as the student dips his foot faster.

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The frequency of the light is 5.77 × 10¹⁸ Hz, if the wavelength of the x-rays is 0.052 nm.

Wavelength of the x-ray, λ = 0.052 nm = 5.2 × 10⁻¹¹ m.

Speed of x-rays, v = 3 × 10⁸ m/s

Let the frequency of the x-ray, = n

We know the relationship between speed of the wave, wavelength and the frequency of the wave is as follows:

speed = wavelength × frequency

3 × 10⁸ = 5.2 × 10⁻¹¹ × n

n = (3 × 10⁸)/(5.2 × 10⁻¹¹)

n = 5.77 × 10¹⁸ Hz

Alternate unit of frequency is 1/sec.

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The impulse that would be created by the  baseball player is  600 Ns.

The impulse created by the baseball player is the product of force and time of the force impact.

J = Ft

where;

The frictional force created by the baseball player = 400 N.

The time of force action = 1.5 seconds

The impulse that would be created by the  baseball player is calculated as follows;

J = 400 N x 1.5 seconds

J = 600 Ns

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The complete question is below:

A baseball player feels a frictional force of 400N as she slides into home. what impulse would be created if the force acted for 1.5 seconds?

The correct option is B. weight force down is greater than the air drag.

Weight force is the force of gravity acting on a body or object. It is the magnitude of the force of gravity acting on an object or body and is determined by the object or body's mass multiplied by the acceleration due to gravity. Weight force is a type of force, and is a vector quantity which has both magnitude and direction. Weight force acts in the downward direction of the Earth's gravitational field and its direction is always towards the center of the Earth. Weight force is important in determining the motion of objects and bodies, and is one of the most important fundamental forces in physics.

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The minimum time required to travel 1.0 km is 8.75 seconds.

Travel is the movement of people from one place to another, usually over a certain distance and for a certain period of time. It can be done for many reasons, including pleasure, business, or to visit family or friends.

This can be calculated by taking the total distance traveled (1.0 km) and dividing it by the average speed (100 km/h). The average speed is 100 km/h because the car accelerates uniformly from 0 km/h to 100 km/h in 3.5 seconds.
Therefore, the total time required is 10 seconds (1 km / 100 km/h). However, this does not take into account the deceleration time of the car, which must also be taken into account.
The maximum braking rate of the car is 0.7 g, which is equivalent to 7 m/s2. Since the car must come to a complete stop at the end of the 1.0 km journey, the time required for deceleration must be calculated. This can be done using the equation:
Time for deceleration = (Final Velocity - Initial Velocity) / Acceleration
Since the initial velocity is 0 m/s and the final velocity is 0 m/s, the equation simplifies to:
Time for deceleration = 0 / 7 m/s2 = 0 seconds
Therefore, the total time required to travel 1.0 km is 10 seconds (for acceleration) + 0 seconds (for deceleration) = 10 seconds. Subtracting this from the total time required gives us the minimum time required to travel 1.0 km, which is 8.75 seconds.

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The pendulum's period is shorter, but the mass on the spring's is unchanged. A planet with twice the mass of Earth and the same size will accelerate through space twice as fast.

Given that the time period of a simple pendulum is = T

T = 2π√l/g where l is the pendulum length and g is the gravitational acceleration of the planet.

The time period of a mass-spring system is written as: T = 2π√m/k where m is the mass of system and k is spring constant.

The gravitational acceleration is defined as: g = GM/r^2

AS the acceleration due to gravity on planet X is greater than that of on earth we know that the time period is inversely proportional to g.

So, on planet X the time period is shorter and the mass-spring will remain same because the attached mass and spring constant are the same, the mass spring system is unaffected.

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Floating a needle on the surface of water is possible because of the phenomenon known as surface tension.

Surface tension occurs when molecules of a liquid stick together, creating a thin film of liquid on the surface. This film is able to support objects that are light enough to float.

The adhesive properties of water are due to its molecules bonding together, creating a strong force that allows it to hold objects on its surface. When a needle is placed carefully on water, it is light enough to be supported by the surface tension and the needle will float.

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Nuclear fission produces energy when atoms split apart. All nuclear power plants utilise nuclear fission, and uranium atoms are frequently employed in nuclear power reactors.

When a neutron meets with a uranium atom during nuclear fission, it splits the atom, releasing a large amount of energy in the form of heat and radiation. Nuclear fission, another name for the splitting of atoms, generates radiation and radioactivity. In 1939, Dr. Lise Meitner made the discovery of how radioactivity may be created. She discovered that radiation could be released when a neutron, a tiny particle, was fired into another atom. Fission is the process by which a heavy, unstable nucleus splits into two lighter nuclei, whereas fusion is the joining of two light nuclei to release large amounts of energy.

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Answer:

I think the answer you're looking for is particulate matter.

Explanation:

Formula for period:

[tex]T=\dfrac{1}{f}[/tex]

period(measured in seconds) = 1 / frequency(measured in hertz)

__________________________________________________________

Given:

[tex]f=77,621Hz[/tex]

[tex]T=?[/tex]

__________________________________________________________

Finding period:

[tex]T=\dfrac{1}{f}[/tex]

[tex]T=\dfrac{1}{77,621}[/tex]

__________________________________________________________

Answer:

[tex]\fbox{T = 0.0000129}[/tex]

The balloon needs to be charged with a minimum of 1.3 x 10-10 Coulombs for it to adhere to the wall.

To find the minimum amount of charge required on the balloon for it to stick to the wall, we can use the following equation:

Friction force = friction coefficient x normal force

The electrical attraction between the charged balloon and the molecules of the wall, which cause an equal but opposing charged polarization, produces the normal force and may be computed as follows:

Normal force = k x q1 x q2 / r^2

where k is Coulomb's constant, q1 and q2 are the charges on the balloon and the wall's molecules, respectively, and r is the average distance between the opposite charges.

The gravitational force acting on the balloon is given by:

Fg = m x g

Since the downward gravitational force is balanced by the upward static friction force, we can set the gravitational force equal to the friction force:

m x g = friction coefficient x k x q1 x q2 / r^2

Solving for q1, the charge on the balloon, we have:

q1 = (m x g x r^2) / (friction coefficient x k x q2)

Given that the mass of the balloon is 1.4 g, coefficient of static friction with the wall is 0.73, the average distance between the opposite charges is 0.75mm, and Coulomb's constant is 910^9 Nm^2/C^2.

q1 = (1.4 x 9.8 x (0.75 x 10^-3)^2) / (0.73 x 9 x 10^9)

The minimum amount of charge required on the balloon in order for it to stick to the wall is 1.3*10^-10 Coulombs

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Two people push on a shopping cart from opposite sides. Situation will the motion of the shopping cart stay the same, the correct option is (D) The two people push with a balanced face.

In this situation, the net force on the shopping cart will be zero, since the two forces are equal in magnitude and opposite in direction. If the forces are balanced, the shopping cart will not accelerate and will stay in the same state of motion (at rest or moving at a constant velocity). In scenario A and C, the forces are not balanced and therefore will cause acceleration. In scenario B, the net force will be non-zero and the acceleration will cause the shopping cart to change its velocity and direction.

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Ben's power is 871W

What is the short definition of power?

Power can be defined as the amount of work completed in a given amount of time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power. Horsepower, or roughly 745.7 watts, is a unit of measurement used to describe the power of machinery and motor vehicles.

We could determine Ben's power rating if this were the case. Ben must presumably push down on the stairs with an 800-Newton force in order to raise his body. Ben's body would be pushed upward by the stairs in this way with just enough force to raise him up the stairs. Ben's power rating might be calculated using these two estimations, as illustrated below.

Power = work done / time

Power = 784*2/ 1.8

         P= 871W

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Dust particles can acquire a charge through a process called triboelectrification, which occurs when two materials rub against each other, transferring electrons from one material to the other.

Triboelectrification is the phenomenon in which a charge is generated through the contact and separation of two materials. It is also known as "friction electrification" or "contact electrification".

When dust particles rub against a piece of paper, transferring electrons from the dust particles to the paper and giving the dust particles a negative charge. Once the dust particles have acquired a charge, they can be attracted to a charged object, such as a piece of paper, through Coulomb's law, which states that objects with opposite charges will experience an attractive force.

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Thermal conductivity may be measured with simple equipment.A slab of the material to be tested is clamped between an ice block and a steam chamber that both maintain constant temperatures of 0 °C and 100 °C.

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To illustrate how technology keeps people from experiencing significant events firsthand, consider Nate Beeler's editorial comic Total Eclipse 2017.

Cartoon editorials share this educational goal with prose editorials. They are created with the intention of getting readers to reflect on contemporary political concerns. A reader-friendly visual and linguistic language is required for editorial cartoons.

someone's opinion or point of view on something. How might a political cartoonist's point of view be impacted. The point of view of a cartoonist will direct their work. The opinions of others may be taken into consideration by cartoonists, or they may solely express their own opinions.

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The force exerted on the person's feet when he lands if he stops in 0. 25 seconds is found to be 480 N.  

Force may be characterized as a type of circumstance that significantly deals with the pushing or pulling of an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects.

According to the context of this question,

The mass of a person, m = 60 Kg.

The velocity of a person, v = 2.0 meters/sec.

The time is taken, t = 025 seconds.

The formula for calculating force is as follows:

          = 60 × 2 ÷ 0.25 = 480 N.

Therefore, the force exerted on the person's feet when he lands if he stops in 0. 25 seconds is found to be 480 N.

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