$A 50kg block is dropped from a point 10m above as shown in the fig above. if the force constant of the spring is 4.0 x 10$^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]

1.25m

0.50m

0.25m

0.05m

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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

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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]

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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 104^4Nm-1, find the maximum compression of the spring [g = 10ms-2]

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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]