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A bullet of mass 0.04kg moving with a speed of 90 ms^-1 enters a heavy wooden block and is stopped after a distance of 60cm.What is the average resistive force excerted by the block on the bullet?


Shiva Chandel 20th Mar, 2020
Answers (3)
Vignesh kumar 5th Dec, 2021

The retardation 'a' of the bullet (assumed constant) is given by

a=-u^2/2s=-90*90/2*0.6ms^-2=-6750ms^-2

Pratyay Islam 20th Mar, 2020

Hello Student,

The wooden block provides a constant resistive force and hence the bullet deccelerates at a constant rate, let it be a .

Since the bullet stops after 60cm there fore final velocity is 0

1. v² - u² = 2as

or a = -u²/2a = 90²/2*0.6 = -6750m/s²

2.Therefore the retarding force will be

Mass of bullet * decceleration = 0.04kg * -6750m/s² = -270N

Sai Sri Nandan Ch 20th Mar, 2020

Hello,

This is a simple question and can be solved with Newton's Second Law.

According to it, F=ma.

here m is mass of bullet. (0.04kg)

a is acceleration of bullet ( can be calculated using speed and distance)

we know, v^2-u^2=2as

here, v=0 m/s , u=90m/s  and   s is 0.6m

therefore, a= - 6750m/s^2

Hence we can find resistive force (F) = 0.04 x ( - 6750) = - 270N.

Here negative sign indicates that the force applied by the block is in opposite direction to the velocity of the bullet.

Hope this helps.

Thanks

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