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A 50kg block is dropped from a point 10m above as shown i...

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 104Nm-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.Emgh = 12 * k * x2

mgh = 12 * k * x2

50 * 10 * 10 = 12 * 4 * 104 * x2

→ x2 = 500024104

→ x = √[0.25]

: x = 0.50m