A body of mass m moving with velocity v colli | vedclass

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

Question

(B) Initial kinetic energy of the system is $K_i = 1/2 mv^2 + 1/2 (2m)(0)^2 = 1/2 mv^2$.Since the collision is perfectly inelastic,the two bodies stic

Vedclass · Accepted Answer

$1/3 mv^2$

Vedclass · Answer

(B) Initial kinetic energy of the system is $K_i = 1/2 mv^2 + 1/2 (2m)(0)^2 = 1/2 mv^2$.Since the collision is perfectly inelastic,the two bodies stick together after the collision and move with a common velocity $V$.By the law of conservation of linear momentum: $mv + (2m)(0) = (m + 2m)V$.$mv = 3mV$,which gives $V = v/3$.The final kinetic energy of the system is $K_f = 1/2 (m + 2m)V^2 = 1/2 (3m)(v/3)^2 = 1/2 (3m)(v^2/9) = 1/6 mv^2$.The loss in kinetic energy is $\Delta K = K_i - K_f = 1/2 mv^2 - 1/6 mv^2 = (3/6 - 1/6) mv^2 = 2/6 mv^2 = 1/3 mv^2$.

$A$ body of mass $m$ moving with velocity $v$ collides head-on with another body of mass $2m$ which is initially at rest. If the collision is perfectly inelastic,what is the loss in kinetic energy of the system?

Similar Questions

$A$ particle of mass $m$ moving with velocity $v$ collides with a stationary particle of mass $2m$. After collision,they stick together and continue to move together with velocity ........

When does the total kinetic energy of two bodies moving in opposite directions become zero after a collision?

$A$ bullet hits and gets embedded in a solid block resting on a horizontal frictionless table. What is conserved?

$A$ metal ball of mass $2 \,kg$ moving with a velocity of $36 \,km/h$ has a head-on collision with a stationary ball of mass $3 \,kg$. If after the collision,the two balls move together,the loss in kinetic energy due to the collision is ........ $J$.

Two particles $A$ and $B$ of equal mass $M$ are moving with the same speed $v$ as shown in the figure. They collide completely inelastically and move as a single particle $C$. The angle $\theta$ that the path of $C$ makes with the $X$-axis is given by

Vedclass Test Series

Exam Paper Generator

Online Exam Module