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A spring required a force of 5.0 n to compress it 0.1 m. how much work is required to stretch the spring 0.4 m

Respuesta :

Paounn

Answer:

20N

Explanation:

The force (Hooke's Law) is proportional to the deformation. To extend the spring 4 times longer, you will need 4 times the force. In total, 20 N

Eduard22sly

The amount of work required to stretch the spring 0.4 m give the data is 4 J

How to determine the spring constant

From the question given above, the following data were obtained

  • Force (F) = 5 N
  • Compression (e) = 0.1 m
  • Spring constant (K) =?

K = F/ e

K = 5 / 0.1

K = 50 N/m

How to determine the work

  • Spring constant (K) = 50 N/m
  • Extention (e) = 0.4 m
  • Work =?

W = ½Ke²

W = ½ × 50 × 0.4²

W = 25 × 0.16

W = 4 J

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