Answer:
Explanation:
Distance traveled by light = 2 x 550 m = 1100 m
time taken by light to travel this distance = 1100 / 3 x 10⁸
= 366.67 x 10⁻⁸ s
angle between two consecutive slots = 2π / 500 rad
= .004π
angular velocity of wheel = angle moved / time taken
= .004π / 366.67 x 10⁻⁸
= 1091π radian / s
b ) linear speed of a point on the edge of the wheel
= ω R , r is radius of wheel , ω is angular velocity.
= 1091π x 5 x 10⁻²
= 1712.8 m /s
Acceleration = -12 / 8 = - .... m/s^2
Answer:
Explanation:
Magnetic field B = 6 X 10⁻⁵ T.
Width of car = L (Let )
Velocity of car v = 100 km/h
= 27.78 m /s
induced emf across the body ( width ) of the car
= BLv
= 6 X 10⁻⁵ L X 27.78
166.68 X 10⁻⁵ L
Induced electric field across the width
= emf induced / L
E = 166.68 X 10⁻⁵ N/C
We suppose breadth of a typical car = 1.5 m
potential difference induced
= 166.68 x 1.5 x 10⁻⁵
250 x 10⁻⁵ V
= 2.5 milli volt.
The side of the car which is positively charged depends on the direction in which car is moving , whether it is moving towards the north or south.
When the elevator is going up (assuming the elevator is acceleration)
When the elevator is accelerating downwards, the total gravitational force would be larger.
If the elevator is accelerating upwards, then the gravitation force would be smaller, thus the tension in the string would be smaller.
Explanation:
According to the law of conservation of energy, work done by the force is as follows.
= 64.95 J
Now, gain in potential energy is as follows.
P.E = mgh
= 
= 29.4 J
Gain in potential energy will be as follows.
= 
= ![\frac{1}{2} \times 30 N/m \times [(2.5 - 1.5)^{2} - (2 - 1.5)^{2}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2030%20N%2Fm%20%5Ctimes%20%5B%282.5%20-%201.5%29%5E%7B2%7D%20-%20%282%20-%201.5%29%5E%7B2%7D%5D)
= 11.25
As,
= 64.95 J - 29.4 - 11.25
= 24.3
v = 4.92 m/s
Therefore, we can conclude that relative velocity at point B is 4.92 m/s.
