Home
Class 9
BIOLOGY
A bullet of mass 20 g is horizontally fi...

A bullet of mass 20 g is horizontally fired with a velocity 150 m/s from a pistol of mass 2 kg . What is the recoil velocity of the pistol ?

Text Solution

Verified by Experts

Initial velocity, `u=150m//s`
Find velocity, `v=o` (since the bullet finally comes to rest)
Time takne to come to rest, `t=0.03s`. According to the first equation of motion
`V=u+at`
Acceleration of the bullet, a
`O=150+(axx0.03s)a=-150//0.03=-5000m//s^(2)`
(Negative sign indicates that the velocity of the bullet is decreasing )
According to the third equation of motion `v^(2)=u^(2)=2as`
`0=(150)^(2)+2(-5000)`
`=22500//10000`
`=2.25m`
Hence the distance of penetration of the bullet into the block is 2.25 m.
From Newton.s second law of motion.
Force = Mass `xx` Acceleration
Mass of the bullet, `m=10g=0.01 kg`
Acceleration of the bullet, `a=5000m//s^(2)`
`F=ma=0.01xx5000=50N`
Hence the magnitude of force exerted by the wooden block on the bullet is 50 N.
Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER-2

    CPC CAMBRIDGE PUBLICATION|Exercise V. Answer the following Questions :|3 Videos

  • MODEL QUESTION PAPER -3

    CPC CAMBRIDGE PUBLICATION|Exercise VI. ANSWER THE FOLLOWING QUESTION :|2 Videos

  • NATURAL RESOURCES

    CPC CAMBRIDGE PUBLICATION|Exercise UNIT TEST|4 Videos

Similar Questions

Explore conceptually related problems

A bullet of mass 10 g travelling horizontally with a velocity of 150 m s^(-1) strikes a stationary wooden block and comes to rest in 0.03 s. Calculate the distance of penetration of the bullet into the block. Also calculate the magnitude of the force exerted by the wooden block on he bullet.

A connon of mass m_(1) = 12000 kg locatede on a smooth horizontal platform fires a shell of mass m _(2) = 300 kg in horizontal direction with a velocity v _(2)=400 ms//s. Find the velocity of the cannon after it is shot.

A mass of 10 g moving horizontally with a velocity of 100 m/s, strikes a pendulum bob of mass 10 y. The two masses strike together. The maximum height reached by the system now is g = 10 m//s) :

A block of wood of mass 0.5 kg is suspended by means of a thin wire. A bullet of mass 0.020 kg is fired horizontally in the plane of the block with a velocity of 100ms^(-1) . If the bullet gets stuck inside the block, then calculate the height by which the system rises (g=9.8ms^(-2)) . Calculate the amount of heat produced in the block.

A bullet of mass a moving with velocity b strikes a large stationary block of wood of mass c, and remains embed in it, the final velocity of the system is :