Answer:........... .. .....
Answer:48.2 Joules
Explanation:
Given
two masses of 0.2 kg and 0.4 kg collide with each other
after collision 0.2 kg deflect 30 north of east and 0.4 kg deflects 53.1 south of east
Velocity of 0.2 kg mass is
![v_{0.2}=12\cos (30)\hat{i}+12\sin (30)\hat{j}](https://tex.z-dn.net/?f=v_%7B0.2%7D%3D12%5Ccos%20%2830%29%5Chat%7Bi%7D%2B12%5Csin%20%2830%29%5Chat%7Bj%7D)
![|v_{0.2}|=11.99 m/s\approx 12 m/s](https://tex.z-dn.net/?f=%7Cv_%7B0.2%7D%7C%3D11.99%20m%2Fs%5Capprox%2012%20m%2Fs)
Velocity of 0.4 kg mass
![v_{0.4}=13\cos (53.1)\hat{i}-12\sin (53.1)\hat{j}](https://tex.z-dn.net/?f=v_%7B0.4%7D%3D13%5Ccos%20%2853.1%29%5Chat%7Bi%7D-12%5Csin%20%2853.1%29%5Chat%7Bj%7D)
![|v_{0.4}|=12.99 m/s\approx 13 m/s](https://tex.z-dn.net/?f=%7Cv_%7B0.4%7D%7C%3D12.99%20m%2Fs%5Capprox%2013%20m%2Fs)
Thus total Kinetic energy ![=\frac{0.2\times 12^2}{2}+\frac{0.4\times 13^2}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B0.2%5Ctimes%2012%5E2%7D%7B2%7D%2B%5Cfrac%7B0.4%5Ctimes%2013%5E2%7D%7B2%7D)
Kinetic energy=48.2 J
The answer is B ! As in light bulb tungsten is working as resistor !
Answer:
Angular velocity, ![\omega=35.36\ rad/s](https://tex.z-dn.net/?f=%5Comega%3D35.36%5C%20rad%2Fs)
Explanation:
It is given that,
Maximum emf generated in the coil, ![\epsilon=20\ V](https://tex.z-dn.net/?f=%5Cepsilon%3D20%5C%20V)
Diameter of the coil, d = 40 cm
Radius of the coil, r = 20 cm = 0.2 m
Number of turns in the coil, N = 500
Magnetic field in the coil, ![B=9\times 10^{-3}\ T](https://tex.z-dn.net/?f=B%3D9%5Ctimes%2010%5E%7B-3%7D%5C%20T)
The angle between the area vector and the magnet field vector varies from 0 to 2 π radians. The formula for the maximum emf generated in the coil is given by :
![\epsilon=NBA\omega](https://tex.z-dn.net/?f=%5Cepsilon%3DNBA%5Comega)
![\omega=\dfrac{\epsilon}{NBA}](https://tex.z-dn.net/?f=%5Comega%3D%5Cdfrac%7B%5Cepsilon%7D%7BNBA%7D)
![\omega=\dfrac{20\ V}{500\times 9\times 10^{-3}\ T\times \pi (0.2\ m)^2}](https://tex.z-dn.net/?f=%5Comega%3D%5Cdfrac%7B20%5C%20V%7D%7B500%5Ctimes%209%5Ctimes%2010%5E%7B-3%7D%5C%20T%5Ctimes%20%5Cpi%20%280.2%5C%20m%29%5E2%7D)
![\omega=35.36\ rad/s](https://tex.z-dn.net/?f=%5Comega%3D35.36%5C%20rad%2Fs)
So, the angular velocity of the circular coil is 35.36 rad/s. Hence, this is the required solution.
I think its the car moving to a stop sign