The change in the kinetic energy refers to the work done in displacing a body, thus, the change in the kinetic energy of an object refers to the work done on the object.
The correct formula to use is:
W = Initial kinetic energy - Final kinetic energy;
Where, W = change in kinetic energy
Final kinetic energy and initial kinetic energy = 1/2 MV^2
Initial velocity = 15 m/s
Final velocity = 13.5 m/s
Initial mass = 0.650 kg
Final mass = 0.950 kg
W = 1/2 [0.650* (15 *15)] - 1/2 [0.950 * (13.5 * 13.5)]
W = 146.25 - 173.13 = 26.88
Therefore, the change in kinetic energy is 26.88 J.
The negative sign has to be ignored, because change in kinetic energy can not be negative.
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Answer:
The average induced emf in the loop is 0.20 V
Explanation:
Given:
Radius of loop
m
Magnetic field
T
Change in time
sec
According to the faraday's law,
Induced emf is given by
![\epsilon = -\frac{\Delta \phi}{\Delta t}](https://tex.z-dn.net/?f=%5Cepsilon%20%3D%20-%5Cfrac%7B%5CDelta%20%5Cphi%7D%7B%5CDelta%20t%7D)
Where
magnetic flux
( here
)
Where ![A = \pi r^{2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E%7B2%7D)
We neglect minus sign because it's shows lenz law
![\epsilon = \frac{B \pi r^{2} }{\Delta t}](https://tex.z-dn.net/?f=%5Cepsilon%20%20%3D%20%5Cfrac%7BB%20%5Cpi%20r%5E%7B2%7D%20%20%7D%7B%5CDelta%20t%7D)
![\epsilon = \frac{1.5 \times 3.14 \times (9.25 \times 10^{-2} )^{2} }{0.20}](https://tex.z-dn.net/?f=%5Cepsilon%20%3D%20%5Cfrac%7B1.5%20%5Ctimes%203.14%20%5Ctimes%20%289.25%20%5Ctimes%2010%5E%7B-2%7D%20%29%5E%7B2%7D%20%7D%7B0.20%7D)
V
Therefore, the average induced emf in the loop is 0.20 V
Answer:
![y = 4.36](https://tex.z-dn.net/?f=y%20%3D%204.36)
Explanation:
Let the height of the ladder be L
![L = 10](https://tex.z-dn.net/?f=L%20%3D%2010)
Also:
- Let
![x = distance\ from\ the\ base\ of\ the\ ladder](https://tex.z-dn.net/?f=x%20%3D%20distance%5C%20from%5C%20the%5C%20base%5C%20of%5C%20the%5C%20ladder)
- Let
![y = height\ of\ the\ base\ of\ the\ ladder](https://tex.z-dn.net/?f=y%20%3D%20height%5C%20of%5C%20the%5C%20base%5C%20of%5C%20the%5C%20ladder)
When the ladder leans against the wall, it forms a triangle and the length of the ladder forms the hypotenuse.
So, we have:
--- Pythagoras Theorem
When the base is 9ft from the wall, this means that:
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Substitute 9 for x and 10 for L in ![L^2 = x^2 + y^2](https://tex.z-dn.net/?f=L%5E2%20%3D%20x%5E2%20%2B%20y%5E2)
![10^2 = 9^2 + y^2](https://tex.z-dn.net/?f=10%5E2%20%3D%209%5E2%20%2B%20y%5E2)
![100 = 81 + y^2](https://tex.z-dn.net/?f=100%20%3D%2081%20%2B%20y%5E2)
Make
the subject
![y^2 = 100 - 81](https://tex.z-dn.net/?f=y%5E2%20%3D%20100%20-%2081)
![y^2 = 19](https://tex.z-dn.net/?f=y%5E2%20%3D%2019)
Make y the subject
![y = \sqrt{19](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%7B19)
![y = 4.36](https://tex.z-dn.net/?f=y%20%3D%204.36)
<em>Hence, the true distance at that point is approximately 4.36ft</em>
I would pick the only one that makes sense, D. optic fibers
Brainliest please
Answer:
300 Nm ; 300 J
Explanation:
Given that:
Force (F) = 20 N
Distance (d) = 15 m
The kinetic energy (Workdone) = Force * Distance
Kinetic Energy = 20N * 15m
Kinetic Energy = 300Nm
K. E = 1/2