In the figure shown here, the maximum compression in the ideal spring is (K is spring constant)

Question

In the figure shown here, the maximum compression in the ideal spring is (K is spring constant) (A) √(mv2/2K) (B) √(2mv2/3K) (C) √(3mv2/2K) (D) √(mv2/3K)

Tardigrade Admin · Accepted Answer

At maximum compression both blocks have same velocity. Pf = Pi and Kf = Ki 2mv = 3mvâ² v' = (2/3)V (1/2)(2m)v2-(1/2)(3m)(4v2/9)=(1/2)Kx2 x = √(2mv2/3K)

Q. In the figure shown here, the maximum compression in the ideal spring is (K is spring constant)

$\frac{m v ^{2}}{2 K}$

$\frac{2 m v ^{2}}{3 K}$

$\frac{3 m v ^{2}}{2 K}$

$\frac{m v ^{2}}{3 K}$

At maximum compression both blocks have same velocity. $P_{f} = P_{i} an d K_{f} = K_{i}$
$2 m v = 3 m v'$
$v^{'} = \frac{2}{3} V$
$\frac{1}{2} (2 m) v^{2} - \frac{1}{2} (3 m) \frac{4 v ^{2}}{9} = \frac{1}{2} K x^{2}$
$x = \frac{2 m v ^{2}}{3 K}$

Q. In the figure shown here, the maximum compression in the ideal spring is (K is spring constant)

2Kmv2​​

3K2mv2​​

2K3mv2​​

3Kmv2​​

At maximum compression both blocks have same velocity. Pf​=Pi​andKf​=Ki​ 2mv=3mv′ v′=32​V 21​(2m)v2−21​(3m)94v2​=21​Kx2 x=3K2mv2​​

$\frac{m v ^{2}}{2 K}$

$\frac{2 m v ^{2}}{3 K}$

$\frac{3 m v ^{2}}{2 K}$

$\frac{m v ^{2}}{3 K}$

At maximum compression both blocks have same velocity. $P_{f} = P_{i} an d K_{f} = K_{i}$
$2 m v = 3 m v'$
$v^{'} = \frac{2}{3} V$
$\frac{1}{2} (2 m) v^{2} - \frac{1}{2} (3 m) \frac{4 v ^{2}}{9} = \frac{1}{2} K x^{2}$
$x = \frac{2 m v ^{2}}{3 K}$