A 50kg block is dropped from a point 10m above as shown in the fig above. if the force constant of the spring is 4.0 x 10\(^4\)Nm-1, find the maximum compression of the spring

[g = 10ms-2]

A 50kg block is dropped from a point 10m above as shown in the fig above. if the force constant of the spring is 4.0 x 10\(^4\)Nm-1, find the maximum compression of the spring

[g = 10ms-2]

A.

1.25m

B.

0.50m

C.

0.25m

D.

0.05m

Correct answer is B

P.E\(_{mgh}\) = \(\frac{1}{2}\) * k * x\(^2\)

mgh = \(\frac{1}{2}\) * k * x\(^2\)

50 * 10 * 10 = \(\frac{1}{2}\) * 4 * 10\(^4\) * x\(^2\)

→ x\(^2\) = \(\frac{5000 * 2}{4 * 10^4}\)

→ x = √[0.25]

: x = 0.50m