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5. The diagram below shows a toy cart possessing 16 joules of kinetic energy traveling on a frictionless, horizontal
surface toward a horizontal spring. If the cart comes to rest after compressing the spring a distance of 1.0 meter, what is
the spring constant of the spring?

5 The diagram below shows a toy cart possessing 16 joules of kinetic energy traveling on a frictionless horizontal surface toward a horizontal spring If the car class=

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Eduard22sly

The spring constant of the spring is 32 N/m

Data obtained from the question

From the question given above, the following data were obtained:

  • Energy (E) = 16 J
  • Compression (e) = 1 m
  • Spring constant (K) =?

How to determine the spring constant

The spring constant, K for the spring can be obtained as follow:

E = ½Ke²

16 = ½ × K × 1²

16 = ½ × K

Cross multiply

K = 16 × 2

K = 32 N/m

Thus, the spring constant is 32 N/m

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