Question:
A perfectly elastic ball of mass $m$ moving with velocity $u$ hits a wall moving with velocity $v$ in the opposite direction. After the collision the ball will rebound back with speed
A perfectly elastic ball of mass $m$ moving with velocity $u$ hits a wall moving with velocity $v$ in the opposite direction. After the collision the ball will rebound back with speed
Updated On: Jan 1, 2025
- $u $
- $ u - v$
- $u + 2v$
- $u + v$
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The Correct Option is C
Solution and Explanation
Given :
Mass of ball = m
Initial velocity = u
Final velocity = v
Now,
\(⇒e=\frac{\text{Veloctiy of seperation}}{\text{Velocity of approach}}\)
\(⇒1=\frac{v_2-v_1}{u_2-u_1}\)
\(1=\frac{v_0-v}{u+v}\)
⇒ u + v = v0 - v
⇒ v0 = u + 2v
So, the correct option is (C) : u + 2v.
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Concepts Used:
Work, Energy and Power
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Energy:
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Power:
- Power is the rate at which energy is transferred, conveyed, or converted or the rate of doing work. Technologically, it is the amount of work done per unit of time. The SI unit of power is Watt (W) which is joules per second (J/s). Sometimes the power of motor vehicles and other machines is demonstrated in terms of Horsepower (hp), which is roughly equal to 745.7 watts.
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