If a ball strickes with a velocity `u_(1)` at the wall which itself is approaching it with a velocity `u_(2)` then find the velocity of the ball after collision with the wall.
Text Solution
AI Generated Solution
To solve the problem of finding the velocity of the ball after it collides with a wall that is approaching it, we can follow these steps:
### Step 1: Understand the scenario
We have a ball moving towards a wall with an initial velocity \( u_1 \) while the wall is moving towards the ball with a velocity \( u_2 \). We need to find the velocity of the ball after the collision.
### Step 2: Define the velocities
- Let the velocity of the ball before the collision be \( u_1 \) (towards the wall).
- Let the velocity of the wall be \( u_2 \) (towards the ball).
...
A ball of mass M//2 filled with a gas ( whose mass is M//2 ) is kept on a frictionless table . A bullet of mass m = M//4 and velocity v_(0)hat(i) penetrates the ball , and rests inside at t=0. Assume that the amount of gas emitted during the collision can be neglected. The compressed gas is emitted at a contant velocity v_(0)//2 relative to the ball and at an even rate k ( k is a positive constant ) . (a) What is the velocity of the ball after the collision with the bullet ? (b) Find the velocity of the ball v(t) as a function of time. Assume that the emission of gas starts at t=0. What is the final velocity of the ball ?
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 ping-pong ball strikes a wall with a velocity of 10 ms^(-1) . If the collision is perfectly elastic, find the velocity if ball after impact
A particle of mass m moves with velocity u_(1)=20m//s towards a wall that is moving with velocity u_(2)=5m//s . If the particle collides with the wall without losing its energy, find the speed of particle just after the collision.
A ball collides elastically with a massive wall moving towards it with a velocity of v as shown. The collision occurs at a height of h above ground level and the velocity of the ball just before collision is 2v in horizontal direction. The distance between the foot of the wall and the point on the ground where the ball lands, at the instant the ball lands, will be :
A ball of mass m moving with velocity v_(0) collides with a wall as shown in Fig. After impact it rebounds with a velocity' (v_(0))//2 The component of impulse acting on the ball along the wall is
A small ball is projected horizontally between two large blocks. The ball is given a velocity V ms^(-1) and each of the large blocks move uniformly with a velocity of 2V ms^(-1) . The ball collides elastically with the blocks. If the velocity of the blocks do not change due to the collision, then find out the velocity of the ball after the 2nd collision.
A glass ball collides with a smooth horizontal surface ( xz plane) with a velocity V = ai- bj . If the coefficient of restitution of collision be e , the velocity of the ball just after the collision will be
A ball of mass m moving with velocity u collides head-on which the second ball of mass m at rest. If the coefficient of restitution is e and velocity of first ball after collision is v_(1) and velocity of second ball after collision is v_(2) then
A ball falls from a height such that it strikes the floor of lift at 10 m/s. If lift is moving in the upward direction with a velocity 1 m/s, then velocity with which the ball rebounds after elastic collision will be
CENGAGE PHYSICS ENGLISH-CENTRE OF MASS-INTEGER_TYPE
