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 $A$ collides elastically with another identical ball $B$ initially at rest. Ball $A$ is moving with a velocity of $10 \, m/s$ at an angle of $60^o$ from the line joining their centers. Select the correct alternative:

$A$ ball of mass $m$ moving with velocity $v$ undergoes an elastic collision with another ball of the same mass $m$ moving in the opposite direction with velocity $2v$. What will be their velocities after the collision?

$A$ billiard ball moving with a speed of $5 \, m/s$ collides with an identical ball originally at rest. If the first ball stops after collision,then the second ball will move forward with a speed of ........... $m/s$.

$A$ neutron makes a head-on elastic collision with a stationary deuteron. The fractional loss of energy of the neutron in this collision is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module