Question

A and B are massless supports attached to two springs (A and B not attached with wall), both the springs are identical and light. Friction coefficient between block C and horizontal surface is $0.5$ and its mass is $2$ $kg$. When both the springs are in their natural length block C was given a velocity of $2$ $m/s$ towards right. Then the distance travelled by block before coming to rest for the first time is (in cm)

• A. 0.2
• B. 20
• C. 0.1
• D. 10

Answer 1

The correct option is B 20

Using Work Energy Theorem on block C
$-\frac{1}{2}k{x}^2-\mu mgx=0-\frac{1}{2}mV{{}_0}^2$
substituting values
$100x^2+20x-8=0$
$x=\frac{20}{100}m=20cm$