Home
Class 11
PHYSICS
An elastic ball of mass 'm' is suspended...

An elastic ball of mass `'m'` is suspended from a fixed point by an inextensible string. A small particle of same mass `m`, moving downwards at an angle of `37^(@)` with the vertical lits the ball directly with the velocity `v_(0)`. If the coefficient of restitution is `4//5`,
(`i`) find the velocity of the ball just after the impact.
(`ii`) determine the impulsive tension(i.e impulse) in the string at the instant of collision.

Text Solution

AI Generated Solution

To solve the problem step by step, we will analyze the collision between the two balls and apply the principles of conservation of momentum and the coefficient of restitution. ### Step 1: Analyze the Situation We have two balls of mass `m`. One ball (let's call it Ball A) is stationary and suspended from a string, while the other ball (Ball B) is moving downward at an angle of `37°` with the vertical with an initial velocity `v_0`. ### Step 2: Resolve the Velocity of Ball B The velocity of Ball B can be resolved into two components: - Vertical component: \( v_{B_y} = v_0 \cos(37^\circ) \) ...
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY & WAVES

    FIITJEE|Exercise Example|18 Videos

Similar Questions

Explore conceptually related problems

An elastic ball of mass 'm' is suspended from a fixed point 'O' by an inextensible string of length 2m . A small particle of mass m moving downward at angle of 37^(@) with the vertical hits the ball with v_(0) . The coefficient of restitution for collision is 4//5 . the velocity of the particle v_(0) such that ball just comoplete on revolution after the collision.

A glass ball collides with an identical ball at rest with v_(0)=2 m/sec. If the coefficient of restitution of collision is e = 0.5, find the velocities of the glass balls just after the collision.

A ball of mass 2kg moving with speed 5m/s collides directly with another ball of mass 3kg moving in the same direction with speed 4m/s. The coefficient of restitution is 2/3. Find the velocities of both ball after the collision.

The first ball of mass m moving with the velocity upsilon collides head on with the second ball of mass m at rest. If the coefficient of restitution is e , then the ratio of the velocities of the first and the second ball after the collision is

A small ball of mass m collides with as rough wal having coeficient of friction mu at an angle theta with the normal to the wall. If after collision the ball moves wilth angle alpha with the normal to the wall and the coefficient of restitution is e , then find the reflected velocity v of the ball just after collision.

A ball P is moving with a certain velocity v , collides head-on with another ball Q of same mass at rest. The coefficient of restitution is 1/4, then ratio of velocity of P and Q just after the collision is

A ball collides with a frictionless wall with velocity u as shown in the figure. Coefficient of restitution for the impact is e. (a) Find expression for the velocity of the ball immediately after the impact. (b) If impact is perfectly elastic what do you observe?

A small ball is suspended from a fixed point 'O' by means of a light and inextensible string of length 'l'. The ball is first taken aside such that string becomes horizontal and then released from rest. At the borrom it collides with a fixed obstacle. The co-efficient of restitution is 'e'. Find the maximum angular deflection of the string after n^(th) collision.

A ball of mass m moving with a speed 2v_0 collides head-on with an identical ball at rest. If e is the coefficient of restitution, then what will be the ratio of velocity of two balls after collision?

A ball of mass m moving with a speed 2v_0 collides head-on with an identical ball at rest. If e is the coefficient of restitution, then what will be the ratio of velocity of two balls after collision?