A particle of mass m moving with velocity u m | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) In an elastic one-dimensional collision between two particles of equal mass, the particles exchange their velocities. The particle initially movin

Vedclass · Accepted Answer

$2mu/T$

Vedclass · Answer

(B) In an elastic one-dimensional collision between two particles of equal mass, the particles exchange their velocities. The particle initially moving with velocity $u$ comes to rest, and the stationary particle starts moving with velocity $u$.The change in momentum of the first particle is $\Delta p = m(0 - u) = -mu$. The magnitude of the change in momentum is $|\Delta p| = mu$.The impulse imparted to the particle is equal to the area under the force-time graph. The graph is a triangle with base $T$ and height $F_0$.Impulse $J = 	ext{Area} = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes T 	imes F_0$.Since Impulse is equal to the change in momentum, we have:$\frac{1}{2} F_0 T = mu$Solving for $F_0$:$F_0 = \frac{2mu}{T}$

Similar Questions

$A$ body of mass $5 \ kg$ makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to $\frac{1}{10}$ th of its original velocity. Then the mass of the second body is (in $kg$)

Six steel balls of identical size are lined up along a straight frictionless groove. Two similar balls moving with a speed $V$ along the groove collide with this row on the extreme left end. Then:

In the figure,determine the type of collision. The masses of the blocks,and the velocities before and after the collision are given. The collision is

$A$ sphere of mass $0.1\,kg$ is attached to a cord of $1\,m$ length. Starting from the height of its point of suspension,this sphere hits a block of the same mass at rest on a frictionless table. If the impact is elastic,then the kinetic energy of the block after the collision is ............. $J$.

$A$ ball is thrown vertically downwards with velocity $\sqrt{2gh}$ from a height $h$. After colliding with the ground,it just reaches the starting point. The coefficient of restitution is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module