A spring has stiffness of 100Nmm, the initial compression of the spring is 15mm, and it is then compressed to 65mm.

Question

1Nmm = 0.001Nm
100Nmm = 100 X 0.001 = 0.1Nm
Comp.1 = 15 mm = 0.015m
Comp.2 = 65 mm = 0.065m

a) i-Find potential energy at 15mm.
ii- Find potential energy at 65mm.
The force exerted by the spring is:
at 15mm,Force=0.1X15
Force=1.5N
at 65mm,Force=0.1X65
Force=6.5N
Potential Energy(E_p )=Fd/2
E_p=1.5NX0.015m/2
E_p=0.01125Nm or 11.25mJ (Ans.to part a-i)

E_p2=(F_2 d_2)/2
E_p2=6.5NX0.065m/2
E_p2=0.21125Nm or 211.25mJ (Ans.to part a-i)

b) Find the work done during compression.
The average force applied between 15mm and 65mm= (1.5N+6.5N)/2=4N

Work Done=Fd
W.D.=4NX(0.065-0.015)m
W.D.=4X0.05
W.D.=0.2Nm or 20mJ (Ans.)

Answer 1

Repeat post. Already answered.

Answer 2

How come my work doesn't show up with my question??? Is it to long?

Answer 3

(-5)-(-3.4)=