The retardation 'a' of the bullet (assumed constant) is given by
a=-u^2/2s=-90*90/2*0.6ms^-2=-6750ms^-2
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
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
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile