Hi there!
We can begin by converting "spinning once per second" to angular velocity:
[tex]\frac{1rev}{1s} * \frac{2\pi rad}{1rev} = 2\pi rad/sec[/tex]
(a)
As we are given the angular acceleration, we can calculate the time using the following equation:
ωf = ωi + αt
There is an initial angular velocity of 0 rad/sec, so:
ωf = αt
2π/1.2 = t
t = 5.236 sec
(b)
We can use the following rotational kinematic equation to first solve for the angular displacement:
θ = ωit + 1/2αt²
The initial velocity is 0 rad/sec, so plug in values:
θ = 1/2(1.2)(5.236²)
θ = 16.449 rad
Convert to linear distance using the following:
d = θr
d = 1.5m, so r = 1.5/2 = 0.75m
d = 16.449(0.75) = 12.337m
(c)
Find the amount of revolutions by converting radians to revolutions:
[tex]16.449 rad * \frac{1rev}{2\pi rad} = \large\boxed{2.618 rev}[/tex]
OR, 2.618 times.
A car accelerates from rest to 40 m/s. Later, on a highway it accelerates from 40 m/s to 80 m/s. Which takes more energy, going from 0 to 40, or from 40 to 80
Answer:
40 to 80
Explanation:
A car's kinetic energy changes with the speed. Cars going slower have less potential energy than cars going faster.
as shown in the figure, a 10-kg block on a perfectly smooth horizontal table is connected by a horizontal string to a 63-kg block that is hanging over the edge of the table. what is the magnitude of the acceleration of the 10-kg block when the other block is gently released?
Newton's second law allows to find the acceleration of the two-body system, where a mass is hanging is:
The acceleration of the system is: a = 8.46 m / s²
Newton's second law states that the net force on a body is equal to the product of the mass and the acceleration.
∑ F = m a
Where the bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.
A free body diagram is that diagram of the system where the forces are shown without the details of the bodies. In the attachment we have a free-body diagram of the system.
Let's write Newton's second law for each axis.
x- axis
T = m₁ a
y-axis
body in the horizontal part
N-W₁ = 0
N = W₁
Body hanging.
W₂ - T = m₂ a
Wwhere the positive direction is down, let's write our system of equations.
T = m₁ a
W₂-T = m₂ a
Let's Resolve.
m₂ g = (m₁ + m₂) a
a = [tex]\frac{m_2}{m_1+m_2} \ g[/tex]
Let's calculate.
a =[tex]\frac{63}{10+63} \ 9.8[/tex]
a = 8.46 m / s²
In conclusion using Newton's second law we can find the acceleration of the two-body system, where a mass is hanging is:
The acceleration of the system is: a = 8.46 m / s²
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A 2.3 kg ball has 76 J of kinetic energy. How fast is it moving? Show all work and use correct units of measurement for the answer to get full credit.
Answer:
8.13 m/sExplanation:
The kinetic energy of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass in kg
v is the velocity in m/s
To find the velocity we make v the subject of the equation
That's
[tex]v = \sqrt{ \frac{2k}{m} } \\ [/tex]
From the question
k = 76 J
m = 2.3 kg
We have
[tex]v = \sqrt{ \frac{2 \times 76}{2.3} } = \sqrt{ \frac{152}{2.3} } \\ = 8.129388...[/tex]
We have the final answer as
8.13 m/sHope this helps you
What makes rusting a redox reaction?
A. It is an example of combustion, which is a redox reaction.
B. Electrons are transferred from oxygen atoms to iron atoms.
C. Any reaction involving oxygen is a redox reaction.
D. Electrons are transferred from iron atoms to oxygen atoms.
(No links please)
Electrons are transferred from oxygen atoms to iron atoms is a redox reaction. Option B is correct.
What is a redox reaction?A redox reaction is a type of chemical reaction in which two species exchange electrons.
Any chemical process in which the oxidation number of a molecule, atom, or ion changes by gaining or losing an electron is known as an oxidation-reduction reaction.
A redox reaction can result in the creation of hydrogen fluoride. The creation of hydrogen fluoride is another example of a redox reaction.
We can evaluate the oxidation and reduction of reactants by breaking down the process. Each hydrogen turns positive after being oxidized and losing two electrons.
Electrons are transferred from oxygen atoms to iron atoms is a redox reaction.
Hence, the option B is correct.
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Answer: D) Electrons are transferred from iron atoms to oxygen atoms
If anyone else needs it
Explanation: the iron is increasing in oxidation number (losing electrons) and oxygen is decreasing in oxidation number (gaining electrons). This tells us that we have oxidation (or rusting) taking place.
What torque will increase angular velocity of a solid cylinder of mass 16 kg and diameter 1 m from zero to 120 rpm in 8 s?
a)π/4Nm
b)π/2Nm
c)π/3Nm
d)πNm
A tellurium-sapphire laser can produce light at wavelength of 800 nm in ultrashort pulses that last only 4.00x10-15s (4.00 femtoseconds, or 4.00 fs). The energy in a single pulse produced by one such laser is 2.00 μJ = 2.00x10-6 J, and the pulses propagate in the positive x-direction. Find a) the frequency of the light; b) the energy and minimum energy uncertainty of a single photon in the pulse
The speed of light and the propagation of errors allows to find the results on the questions of the radiation emitted by the laser are:
a) The frequency is: f = 3.7 10¹⁴ Hz
b) The energy with its uncertainty is: E = (2.465 ± 0.004) 10⁻¹⁹ J
a) The speed of a wave is related to its wavelength and frequency.
c = λ f
[tex]f = \frac{c}{\lambda}[/tex]
Where c is the speed of light, λ the wavelength and f the frequency.
They indicate that the wavelength is λ = 800 nm = 800 10⁻⁹ m, the speed of light is a constant c = 2.99 10⁸ m/s.
f = [tex]\frac{2.99 \ 10^8}{800 \ 10^{-9}}[/tex]
F = 3.7 10¹⁴ Hz
b) Planck's equation states that the energy is proportional to the frequency of the radiation.
E = h f
Where E is the energy, h the Planck constant and f the frequency.
E = 6.63 10⁻³⁴ 3.7 10¹⁴
E = 2.46467 10⁻¹⁹ J
The uncertainty or error is the fluctuation that a magnitude may have due to the precision in the measurements, when the magnitude is calculated by some formula, the propagation of these uncertainties must be carried out.
Δm = ∑ [tex]\sum \frac{dm}{dx_i} | \Delta x_I|[/tex]
the expression for energy is:
E = [tex]\frac{hc}{\lambda }[/tex]
[tex]\Delta E = \frac{dE}{d \lambda} |D\lambda |[/tex]
[tex]\Delta E = \frac{h c }{\lambda^2 } |\Delta \lambda |[/tex]
When the error in the measured magnitude is not explicitly indicated, we assume that the error is in the last digit written, therefore
Δλ = ± 1 nm = ± 1 10⁻⁹ m
We calculate.
[tex]\Delta E = \frac{6.63 \ 10^{-34} \ 2.99 \ 10^8 }{(800 \ 10^{-9})^2} 1 \ 10^{-9}[/tex]
ΔE = 3.1 10⁻²² J
the error is given with a significant figure.
ΔE = 3 10⁻²² J = 0.004 10⁻¹⁹ J
The result of the energy is:
E = (2.465 ± 0.004) 10⁻¹⁹ J
In conclusion, using the speed of light and the propagation of errors, we can find the results on the questions of the radiation emitted by the laser are:
a) The frequency is; f = 3.7 1014 Hz
b) The energy with its uncertainty is: E = (2.465 ± 0.004) 10⁻¹⁹ J
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John carries a 5 kg bag horizontally to the checkout line. How much work must he
do to move it 8 m at a constant velocity of 1 m/s to the right?
The work John must do to move the bad horizontally to given distance is 2.5 J.
The given parameters;
mass of the bag, m = 5 kgdistance moved by the bad, d = 8 mvelocity of bag, v = 1 m/sThe acceleration of the bag at the given distance and velocity is calculated as follows;
[tex]v^2 = u^2 + 2as\\\\1^2 = 0 + 2(a)(8)\\\\1 = 16 a\\\\a = \frac{1}{16} \\\\a = 0.0625 \ m/s^2[/tex]
The work done in moving the bag to 8m is calculated as follows;
[tex]W = F \times d\\\\W = ma \times d\\\\W = 5 \times 0.0625 \times 8 \\\\W = 2.5 \ J[/tex]
Thus, the work John must do to move the bad horizontally to given distance is 2.5 J.
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1 point
What is the potential energy of a 12543 kg tank this on the ground? (only
put the number, no units or commas) *
Answer:
PE=0
Explanation:
If the tank is on the ground, there is 0 height which means the equation of PE=mh will be PE=12543(0)=0, hope this helps!
You exert a force of 200 N on a lever over a distance of 4.6 m. You ultimately lift an 11 kg load 2.3 m off the ground. What is the efficiency of this lever?
Answer:
56142e3456834567856783446357
Explanation:
4535x346326432x5636432784372=3853785
What substance is a polymer found in nature?
Silk,wool, DNA, cellulose and protein
A 60 kg gorilla named Anthony Falcon is standing on his skateboard. This is on planet Erf,
where a = g = -10m/s2
If Anthony Falcon has a weight of 600 N, with what amount of force is their body pushing
down on the skateboard with?
a runner joys 12km north than turs and runs 16km east in three hours.
a. what is his displacement
b. calculate his average speed
c. calculate his average including the direction
Explanation:
a.displacement is vector quantity there fore
we combine the two direction
[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex] {c}^{2 } = \sqrt{ {12}^{2} + {16}^{2} } [/tex]
[tex] {c}^{2} = \sqrt{400 } [/tex]
[tex]c = 20[/tex]
displacement is 20km to wards north
b:average speed
[tex]v = s \div t[/tex]
20/3=6.67
c: please type correctly
A 0.60 kg mass is moving horizontally with a speed of 7.0 m/s when it strikes a vertical wall. The mass rebounds with a speed of 4.20 m/s. What is the magnitude of the change in linear momentum of the mass
Answer: The magnitude of the ball's momentum change is
Δp=m∣ν
i
−ν
f
∣=(0.70kg)∣(5.0m/s)−(−2.0m/s)∣=4.9kg⋅m/s.
Explanation:
A body moving with constant acceleration covers the distance between tu point 60m apart in 5s. Its velocity as it passes the second point is 15m/s. What is the acceleration?
Please find attached photographs for your answer.
Hope it helps.
Do comment if you have any query.
a force acting on 25kg mass produces an acceleration of 4m/square what would this the same force produce on a 12kg mass
Answer:8.3m/s
Explanation:
from F=ma, f=25*4=100N. since the force is 100, 100=12a. acceleration= 8.3m/s
ASAP will mark brainlyist
A truck is speeding up (with a constant acceleration) from rest to 45 m/s and it takes it 15 seconds to do so. How far will the car travel?
Answer:
[tex]315meters[/tex]
Explanation:
Solution is attached.
Do we grow taller when we hang on a branch for 1 min?
Answer:
Temporarily yes, if you are speaking of a skeletally mature person, taking pressure off of joints will allow them to absorb more fluid and thus be a larger diameter. If that expansion is in a vertical direction then you would in fact be taller until the fluid was returned to outside of the joint.
Plzzzz help meeeeeeee
Answer:
15m²
8.6m²
lcm²
6000cm²
0.1km²
40cm²
5210 mm²
500m²
0.0087mm²
500cm²
What is the total amount of potential and kinetic energy in a system? *
1 point
A: Electrical energy
B: Heat energy
C: Mechanical energy
D: Nuclear energy
Answer:
C. Mechanical Energy
Explanation:
The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy.
A stone is dropped off a tall building. It takes 4.5 s to hit the ground Determine the height of the building.
Explanation:
time =4.5sec
gravity =9.8m/s square
so to determime the height we can use the formula
1/2 of gravity times time square
which results in 99.25
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
A black disk rotates with constant speed and a coin that is located on the edge of the disk moves with speed v. If on a white disk that also rotates with constant speed, we place the same coin on the edge, it is moving with speed 4v. Which disk has a larger radius?
The white disk has a larger radius.
We know that the speed of the coin v = rω where r = radius of the disk and ω = angular speed of the disk.
Now, since both disks rotate at constant speed, ω = constant.
So, v ∝ r
For the black disk, its radius is r, the coins speed is v.
For the white disk, let its radius be R, the coins rotates at a speed V = 4v
We know that v ∝ r.
Since the coin on the white disk has a greater speed, so its radius would be greater.
So, the white disk has a larger radius.
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Which of the following substances cannot be broken down into simpler substances?
Table Salt (NaCl)
Water (Hsub2O)
Sand (SiOsub2)
Potassium (K)
Which phrase is best described as the energy of motion?
Answer:
The energy of motion is known as kinetic energy.
Explanation:
A student jumps off a sled toward the west after it stops at the bottom of an icy hill.
Based on the law of action-reaction, in what direction will the sled most likely move as the student jumps off?
Answer:
Explanation:
That’s dangerous who would do that.
Me
your field of study in college is called your________.
Answer:
Majors are also called concentrations. An academic major or concentration is a college or university student's main field of specialization during his or her associates or undergraduate studies which would be in addition to, and may incorporate portions of, a core curriculum.
When a wave is transmitted from one substance to another, its ______ will change. Unless it reaches the second substance at a right
angle, its direction will also change. What one word completes the
sentence?
When a wave is transmitted from one substance to another, its refraction will change. Unless it reaches the second substance at a right angle, its direction will also change.
What is Refraction?Refraction is the redirection of a wave as it passes from one medium to another medium. The redirection of wave can be caused by the wave's change in speed or by a change in the medium of wave.
The refraction of light or change in the direction of path of light in other medium occurs because the light wave travels with different speeds in different media. When a ray of light passes from one medium to another medium, the direction of the wave changes except for zero degrees because of the change in its speed.
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When an electron falls from one energy level to a lower energy level, the result is the emission of:
Answer:
fsdfbfsdhfsfiic,dsiwe
Explanation:
. The gas in a piston (defined as the system) warms and absorbs 655 J of heat. The expansion performs 344 J of work on the surroundings. What is the change in internal energy for the system
The change in the internal energy for the system is 311 J
The change in internal energy for the system will be the difference between the heat absorbed and the work expansion from the surroundings.
i.e.
ΔU = Q + W
where;
internal energy = Uheat absorbed = Qworkdone on surroundings = -WΔU = ( 655 J + ( - 344 J) )
ΔU = 311 J
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the second law of thermodynamics imposes what limit on the efficiency of a heat engine?
A heat engine cannot have a thermal efficiency of 100% For all reversible processes, the second-law efficiency is 100%. The second-law efficiency of a heat engine cannot be greater than its thermal efficiency. The second-law efficiency of a process is 100% if no entropy is generated during that process
What is the acceleration of a 20 kg backpack lifted with a force of 15 N?
a. 0.75 m/s2
b. 1.33 m/s2
c. 300 m/s2
d. 5 m/s2
The answer is option A. 0.75 m/s^2
the formula needed to solve this is acceleration = force/mass
we know the following:
mass of the backpack = 20KG
the force is 15N
therefor- acceleration = 15/20
which can also be written as 3/4, leaving us with the final answer of .75 m/s^2
Answer:
0.75 m/s2
Explanation:
0.75 m/s2