Home
Class 12
PHYSICS
A shell of mass 100 kg is fired horizont...

A shell of mass 100 kg is fired horizontally from a cannon with a mass of `5xx10^(3) kg`. The kinetic energy of the shell at the end of the barrel is `7.5xx10^(6) J`. The kinetic energy imparted to the cannon by the recoil is

Text Solution

Verified by Experts

The conservation of momentum yields
`p_("shell")=p_("cannon")`
`rArr KE_("cannon")=(p_("can")^(2))/(2M_("can"))& KE_("shell")=(p_(sh)^(2))/(2M_(sh))`
`rArr KE_("can")=(M_(sh))/(M_("can"))KE_(sh)=(100)/(5xx10^(3))xx7.5xx10^(6)=1.5xx10^(5)J`.
Further, `(F_(1))/(F_(2))=1. F_(1)` and `F_(2)` are action reaction pair.
Promotional Banner

Similar Questions

Explore conceptually related problems

A shell of mass 0.02 kg is fird by a gun of mass 10 kg. If the muzzle speed of the shell is 600 ms^(-1) , what is the recoil speed of the gun?

A shell of mass 0.01 kg fired by a gun of mass 10 kg. If the muzzle speed of the shell is 50 ms^(-1) , what is the recoil speed of the gun?

A shell of mass 0.020 kg is fired by a gun of mass 100 kg. If the speed of the shell is 80 m/s , the recoil speed of the gun would be

A shell of mass 200g is fired by a gun of mass 100kg. If the muzzle speed of the shell is 80ms^(-1) , then the recoil speed of the gun is

A body of mass 5 kg initially at rest is subjected to a force of 20 N. What is the kinetic energy acquired by the body at the end of 10 s?

A car is travelling at a velocity of 10 m/s and has a mass of 850 kg. What is its kinetic energy?

A cannon of mass 1000 kg located at the base of an inclined plane fires a shell of mass 50 kg in horizontal direction with velocity 180 km//h . The angle of inclination of the inclined plane with the horizontal is 45^(@) . The coefficient of friction between the cannon and inclined plane is 0.5 . The maximum height, in metre, to which the cannon can ascend the inclined plane as a result of recoil is

A body of mass 5kg initially at rest, is subjected to a force of 40 N. Find the kinetic energy acquired by the body at the end of 5 seconds :

A shell of mass 200g is ejected from a gun of mass 4 kg by an explosion that generate 1.05 kJ of energy. The initial velocity of the shell is

A moving electron has 5 xx 10^(-25) J of kinetic energy .What is the de Broglie wavelength ?