Bullet System

Assertion : A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of rifle is more than that of the bullet. Reason : In the case of rifle bullet system the law of conservation of momentum violates.

A bullet of mass m collides inelastically at the periphery of a disc of mass M and radius R, with a speed v as shown. The disc rotates about a fixed horizontal axis. Find the angular velocity of the disc bullet system just after the impact.

A block of mass m is suspended from one end of a light spring as shown. The origin O is considered at distance equal to natural length of the spring from the ceiling and vertical downwards direction as positive y-axis. When the system is in equilibrium a bullet of mass (m)/(3) moving in vertical up wards direction with velocity v_0 strikes the block and embeds into it. As a result, the block (with bullet embedded into it) moves up and start oscillating. Based on the given information, answer the following question: Q. The time taken by the block bullet system to move from y=(mg)/(k) (initial equilibrium position) to y=0 (natural length of spring) is (A represents the amplitude of motion)

A bullet is fired into a wooden block. If the bullet gets embedded in wooden block, then

n bullet strikes per second elastically on wall and rebound then what will be the force exerted on the wall by bullets if mass of each bullet is m:-

(a)What is meant by an isolated system? (b)Out of mass, speed and momentum, which quantity is same for bullet and the gun on firing?

Which of the words-out of reversible, irreversible, adiabatic, isothermal, isochoric and isobaric-will you choose to describe the following processes– (i) A bullet stops in a target [system is bullet plus target]. (ii) A gas, enclosed in a metallic cylinder provided with a piston, is slowly expanded [System is gas]. There is friction between piston and cylinder. (iii) A piece of hot stone (which has coefficient of thermal expansion equal to zero) is dipped into cold water [System is stone].