Question

What is the maximum extension in the spring shown in figure?

• A.
• B.
• C.
• D. None

Answer 1

The correct option is A

From Conservation of momentum,

m(2 V0) - 2m(V0) = 3mV

$\Rightarrow$ V = 0

$\therefore$ The blocks will stop. Maximum extenstion by energy conservation,

$\frac{1}{2}$ m ${2v_0}^2$ + $\frac{1}{2}$ m ${v_0}^2$ = $\frac{1}{2}$k ${x_0}^2$ + 0 +0

$\Rightarrow$ x = $\sqrt{\frac{6m}{k}}{v}_0$