Solution to problems – class 9 – Set 1 Q 27
Last updated on June 17th, 2019 at 09:12 am
Problem Statement
A bullet leaves a rifle with a muzzle velocity of 600 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.8 m. Determine the acceleration of the bullet (assume a uniform acceleration).
Solution
Initial velocity of the bullet U=0
Final velocity of the bullet = muzzle velocity = V=600 m/s
Distance travelled to acquire the muzzle velocity =S=0.8 m
To find out the acceleration, we will use the equation
V2 = U2 + 2 a S
As U = 0, the equation becomes: V2 = 2 a S
Which gives acceleration
a = V2 / (2 S) = 6002 / (2 x 0.8) = 225000 m/s2