A body of mass 2,kg makes an elastic collisio | vedclass

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

Question

(B) Let the mass of the first body be $m_1 = 2\,kg$ and its initial velocity be $u_1$. Let the mass of the second body be $m_2$,which is initially at

Vedclass · Accepted Answer

$1.2$

Vedclass · Answer

(B) Let the mass of the first body be $m_1 = 2\,kg$ and its initial velocity be $u_1$. Let the mass of the second body be $m_2$,which is initially at rest $(u_2 = 0)$.For a one-dimensional elastic collision,the final velocity $v_1$ of the first body is given by the formula:$v_1 = \left( \frac{m_1 - m_2}{m_1 + m_2} \right) u_1$Given that the body continues to move in the original direction with one-fourth of its original speed,we have $v_1 = \frac{u_1}{4}$.Equating the two expressions:$\frac{u_1}{4} = \left( \frac{2 - m_2}{2 + m_2} \right) u_1$$\frac{1}{4} = \frac{2 - m_2}{2 + m_2}$$2 + m_2 = 4(2 - m_2)$$2 + m_2 = 8 - 4m_2$$5m_2 = 6$$m_2 = \frac{6}{5} = 1.2\,kg$.Thus,the mass of the second body is $1.2\,kg$.

$A$ body of mass $2\,kg$ makes an elastic collision with another body at rest and continues to move in the original direction with one-fourth of its original speed. The mass of the second body which collides with the first body is .......... $kg$.

Similar Questions

The yellow colour solution of $Na_2CrO_4$ changes to orange-red on passing $CO_2$ gas due to the formation of

$A$ progressive wave of frequency $50 ~Hz$ is travelling with velocity $350 ~m/s$ through a medium. The change in phase at a given time interval of $0.01 ~s$ is

The time taken by an object to slide down a $45^{\circ}$ rough inclined plane is $n$ times the time it takes to slide down a perfectly smooth $45^{\circ}$ inclined plane. The coefficient of kinetic friction between the object and the inclined plane is:

In which of the following properties do the two enantiomers of lactic acid differ from each other?

An iron rod of length $2 \, m$ and cross-sectional area of $50 \, mm^2$ is stretched by $0.5 \, mm$ when a mass of $250 \, kg$ is hung from its lower end. The Young's modulus of the iron rod is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module