Two bodies of masses m and 2m are attached to | vedclass

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

Question

(D) Since the system is initially at rest,the momentum of the system is zero. By the law of conservation of linear momentum,the magnitudes of the mome

Vedclass · Accepted Answer

The smaller body will have kinetic energy of $40 \ J$.

Vedclass · Answer

(D) Since the system is initially at rest,the momentum of the system is zero. By the law of conservation of linear momentum,the magnitudes of the momenta of the two bodies must be equal at all times: $p_1 = p_2 = p$. Kinetic energy $K$ is related to momentum $p$ by $K = p^2 / (2m)$. Thus,$K_1 = p^2 / (2m)$ and $K_2 = p^2 / (2(2m)) = p^2 / (4m) = K_1 / 2$. Total energy $E = K_1 + K_2 = K_1 + K_1 / 2 = (3/2) K_1 = 60 \ J$. Solving for $K_1$: $K_1 = (2/3) 	imes 60 = 40 \ J$. Since $K_1$ corresponds to the mass $m$ (the smaller body),the smaller body has kinetic energy $40 \ J$.

Two bodies of masses $m$ and $2m$ are attached to the two ends of an ideal spring. The spring is compressed. The total energy stored in the spring is $60 \ J$. If the spring is released,then:

Similar Questions

$A$ rubber ball is dropped from a height of $5 \ m$ on a planet,where the acceleration due to gravity is not known. On bouncing,it rises to $1.8 \ m$. The ball loses its velocity on bouncing by a factor of

$A$ ball of mass $0.2 \,kg$ is thrown vertically down from a height of $10 \,m$. It collides with the floor and loses $50 \%$ of its energy and then rises back to the same height. The value of its initial velocity is

$A$ ball is released from a height of $10 \, m$. If after the impact there is a loss of $40 \%$ in its energy,the ball shall rise up to ................. $m$.

Two solid rubber balls $A$ and $B$ have masses $200 \ g$ and $400 \ g$ respectively. They are moving towards each other,with ball $A$ having a velocity of $0.3 \ m/s$. After the collision,both balls come to rest. What is the velocity of ball $B$ in $m/s$?

$A$ lorry and a car moving with the same $K.E.$ are brought to rest by applying the same retarding force,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module