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A 700 g block is released from rest at height h0 above a vertical spring with spring constant k ! 400 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 19.0 cm. How much work is done (a) by the block on the spring and (b) by the spring on the block

Respuesta :

onyebuchinnaji

The work done by the block on the spring and by the spring on the block is 7.22 J.

The given parameters;

  • mass of the block, m = 0.7 kg
  • spring constant, k = 400 N/m
  • extension of the spring, x = 19 cm = 0.19 m

Based on law of conservation of energy, the potential energy of the block will be converted to elastic energy of the spring, producing the given extension.

The work done by the block on the spring will be equal to work done on the block by the spring.

[tex]W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} \times 400 \times 0.19^2\\\\ W = 7.22 \ J[/tex]

Thus, the work done by the block on the spring and by the spring on the block is 7.22 J.

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