A 0.20kg ball is released from rest at a height of 30cm above an ideal vertical spring. The spring has a spring constant of 25Nm, and all motion is restricted to the vertical direction. The maximum compression of the spring is most nearly:A) 0 mB) 0.08 mC) 0.15 mD) 0.22 mE) 0.31 m

Respuesta :

When a 0.20 kg ball is released from rest at a height of 30 cm above an ideal vertical spring, the spring's maximum compression is 0.22m. The spring has a 25Nm spring constant.

As a result, The ball's mass is m = 0.2 kg.

Height h = 30 cm = 0.3 m above the vertical spring

K, the spring constant, is 25 N/m.

The fact that the ball is released from rest is a given. So, u = 0

The spring's maximum compression must be determined.

As a result of equating the spring's potential energy with its applied force, we obtain 1/2 * k * x2 = m* g* h 1/2 * 25 * x2 = 0.2 * 10* 0.3 x2 = (2* 0.3 * 2)/25 x = 0.219 m 0.22 m.

As a result, the spring's maximum compression was measured at 0.22m.

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