5.24 Figure 5.17 shows the position-time graph of a body of mass 0.04 kg. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body ? What is the magnitude of each impulse?

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Answered by

Vishal Baghel | Contributor-Level 10

4 months ago

This graph could be of a ball rebounding between two walls separated by a distance of 2 cm.

The ball rebounds every 2 secs between the walls with uniform velocity.

Velocity of rebounding = displacement / time = ( 2 $* 10^{- 2}$ )/2 = 0.01 m/s

Initial momentum = mu = 0.04 $* 0.01 =$ 4 $* 10^{- 4}$ kgm/s

Final momentum = -mu = -4 $* 10^{- 4}$ kgm/s

Magnitude of Impulse = Initial momentum – final momentum = 8 $* 10^{- 4}$ kgm/s

The time between two consecutive impulses is 2 secs, so the ball receives an impulse every 2 seconds.

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