The maximum K.E. of a oscillating spring is 5J and its amplitude 10cm. The force constant of the spring is:
A
100Newton/m
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B
1000Newton-m
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C
1000Newton/m
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D
1000watts
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Solution
The correct option is C1000Newton/m Let K be the force constant of the spring and A be the amplitude.
From formula (K.E.)max=12KA2 ⇒5=12K(10×10−2)2 (∵A=10cm=10×10−2m) ⇒K=10(10×10−2)2=1000N/m
Hence, option (c) is the correct answer.