This question has statement $1$ and statement $2$ . Of the four choices given after the statements, choose the one that best describes the two statements.
Statement $- 1$: A point particle of mass m moving with speed $u$ collides with stationary point particle of mass $M$. If the maximum energy loss possible is given as $f$ $\left( {\frac{1}{2}m{v^2}} \right)$ then $ f = \left( {\frac{m}{{M + m}}} \right)$
Statement $-2$: Maximum energy loss occurs when the particles get stuck together as a result of the collision.
Statement $-1$ is true, Statement $-2$ is true ;
Statement $-2$ is the correct explanation of Statement $-1$
Statement $-1$ is true, Statement $-2$ is true ;
Statement $-2$ is not the correct explanation of Statement $-1$
Statement $-1$ is false, Statement $-2$ is true
Statement $-1$ is true, Statement $-2$ is false
In the figure shown, a small ball hits obliquely a smooth and horizontal surface with speed $u$ whose $x$ and $y$ components are indicated. If the coefficient of restitution is $\frac{1}{2}$, then its $x$ and $y$ components $v_x$ and $v_y$ just after collision are respectively
A body of mass $2\, {kg}$ moving with a speed of $4\, {m} / {s}$. makes an elastic collision with another body at rest and continues to move in the original direction but with one fourth of its initial speed. The speed of the two body centre of mass is $\frac{x}{10} \,{m} / {s}$. Then the value of $x$ is ..... .
A ball moving with velocity $2 \,m/s$ collides head on with another stationary ball of double the mass. If the coefficient of restitution is $0.5,$ then their velocities after collision will be
An unknown nucleus collides with a ${}^4He$ nucleus, and after the collision the two nuclei travel in perpendicular directions relative to each other. If kinetic energy is lost in the collision, the unknown nucleus must be
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