An unstretched spring has a force constant of 1060 N/m . Part A How large a forc

Question

An unstretched spring has a force constant of 1060 N/m .

Part A

How large a force is required to stretch the spring by 1.9 m from its unstretched length.

Express your answer using two significant figures.

Part B

How much work is required to stretch the spring by 1.9 m from its unstretched length.

Express your answer using two significant figures.

Part C

How large a force is required to stretch the spring by 1.9 m beyond the length reached in part A?

Express your answer using two significant figures.

Part D

How much additional work is required to stretch the spring by 1.9 m beyond the length reached in part A?

Express your answer using two significant figures.

Explanation / Answer

a) The force F = -kx

Here x = 1.9 m and k = 1060 N/m

Hence the required force is F = (1060 N/m) (1.9 m) = 2014 N

b) The required work is W = (1/2) k x2 = (1/2) (1060) (1.9)(1.9) = 1913.3 Nm

c) The force required to strech 1.9 m again after reaching 1.9 m is

F = k(x2 -x1) = 1060 ( 3.8 - 1.9) = 2014 N

d) The additional work required is

W= (1/2)x22-(1/2) k x2=(1/2) (1060)(3.82-1.92) = 5739.9 Nm

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