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

Answer

A

Explanation

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