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

$A$ ball of $0.4 \, kg$ mass and a speed of $3 \, m/s$ has a head-on,completely elastic collision with a $0.6 \, kg$ mass initially at rest. Find the speeds of both balls after the collision:

$A$ body of mass $1\,kg$ collides head-on elastically with a stationary body of mass $3\,kg$. After the collision,the smaller body reverses its direction of motion and moves with a speed of $2\,m/s$. The initial speed of the smaller body before the collision is $..........\,m/s$.

In the elastic collision of objects,

$A$ ball of mass $0.1 \ kg$ undergoes a head-on collision with a stationary ball of unknown mass. If the $0.1 \ kg$ ball rebounds with $1/3$ of its original speed,the mass of the second ball is .......... $kg$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module