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A rigid ball of mass m strikes a rigid w...

A rigid ball of mass m strikes a rigid wall at `60^(@)` and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by the wll on the ball will be

A

mv

B

2mv

C

mv/2

D

mv/3

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Impulse is imparted due to change in perpendicular components of momentum of ball.
`J=Deltap=mv_(s)-mv_(i)`
`mv cos 60^(@)-(-mv cos60^(@))`
`=2mv cos 60^(@)=2 mvxx(1)/(2)`
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Knowledge Check

  • A riding ball of mass m strikes a rigid wall at 60^(@) and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be.

    A
    `(mV)/(2)`
    B
    `(mV)/(3)`
    C
    `mV`
    D
    `2mV`

  • A ball of mass 'm' strikes a rigid wall with speed 'u' and rebounds with the same speed. The impulse imparted to the ball by the wall is

    A
    2 mu,
    B
    mu,
    C
    zero
    D
    `-2mn`

  • A ball of mass m strikes a rigid walJ with speed u and rebounds with the same speed. The impulse imparted to the ball by the wall is

    A
    `("mu sin"30^(@))/(t)`
    B
    `("2mu sin"30^(@))/(t)`
    C
    `("mu cos"30^(@))/(t)`
    D
    `("2mu cos"30^(@))/(t)`
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