Question

A ball of mass $10$ kg strikes another ball of mass $25$ kg at rest. If they separate in mutually perpendicular directions then the coefficient of restitution is?

• A. $\frac{10}{25}$
• B. $\frac{25}{10}$
• C. $1$
• D. $0.8$

Answer 1

The correct option is A $\frac{10}{25}$

e=COFFICIENT OF RESTITUTION

LET START THE PROBLRM IN EASY WAY

WE KNOW THAT -

e=$\frac{v_1-v_2}{u_1-u_2}$

as bomb explode no external force is used

IN THAT CASE WE CONSERVE MOMENTUM

$p_1$=$p_2$

$m_1$$u_1$+$m_2$$u_2$=$m_{!}$$v_{!}$+$m_2$$v_2$

$m_{!}$$u_1$=$m_2$$v_2$

$\frac{v_2}{u_1}$=$\frac{m_1}{m_2}$

$\frac{v_2}{u_1}$=$\frac{10}{25}$

e=$\frac{10}{25}$