spring concept

2006-10-24 2:50 pm
A spring has an unstretched length of 10cm.It exerts a restoring force F when stretching to a length of 11cm.

a)For what length of the spring is its restoring force 3F?
b)At what compressed length is the restoring force 2F?

回答 (1)

2006-10-24 5:25 pm
✔ 最佳答案
By F = kx
k
= F/x
= F/(0.11-0.1)
= 100F

a)
If restoring force = 3F
Let a be the compression
3F = ka
a
= 3F/k
= 3F/(100F)
= 0.03m
= 3cm
therefore, length of spring = 10cm - 3cm = 7cm

b)
If restoring force = 2F
Let b be the compression
2F = kb
b
= 2F/k
= 2F/(100F)
= 0.02m
= 2cm
therefore, compressed length = 2cm


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