Question

A body of mass 2kg moving with a velocity 10m/s strikes on ideal weightness spring and produces compression of 25cm. calculate the force constant of the spring. ​

Answer 1

Answer:

3200 N/m

Explanation:

When the solid mass of mass 2 kg strikes the spring with the velocity of 10m/s, its kinetic energy in the spring on compressing 25cm

So, the loss in kinetic energy will be equal to the gain in the potential energy in the spring.

Therefore, 1/2 mv2 = 1/2 kx2

=>mv2 =kx2

=> k =mv2 /x2

=> k= 2kg *(10m/s) 2/(0.25m) 2

=> k=3200 N/m

Hence, the force constant of the spring is 3200 N /m

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