A block of mass `m = 25 kg` on a smooth horizontal surface with a velocity `vec v = 3 ms^(-1)` meets the spring of spring constant `k = 100 N//m` fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as it returns to the original position respectively are.
.

Options

A. ` 1.5m, -ms^(-1)`
B. ` 1.5m, 0ms^(-1)`
C. ` 1.0m, 3ms^(-1)`
D. ` 0.5m, 2ms^(-1)`

Answer

`(1)`

Explanation

K.E of block is converted into elastic P.e in spring i.e `1/2 mv^(2) = 1/2 kx^(2)`