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Alex Ar [27]
3 years ago
13

A spring of original length 3.0 cm is extended to a total length of 5.0 cm by a force of 8.0N

Physics
2 answers:
miss Akunina [59]3 years ago
8 0

Answer:

12.0N

Explanation:

This problem is solved using Hooke's law which states that the extension or compression experienced by an elastic material is proportional the the force or load applied provided that the elastic limit is not exceeded.

F=ke..................(1)

where F is the force applied, k is the elastic constant and e is the extension of the material.

e=l_1-l_o..................(2)

were l_o is the original length of the material and l_1 is its total length after extension.

Given;

F = 8.0N

l_o=3cm\\l_1=5cm\\k=?

therefore,

e=5-3\\e=2cm

substituting all necessary values into equation (1), we get;

8=k*2\\k=\frac{8}{2}\\k=4N/cm

The force required to give the spring a total length of 6cm is thus calculated;

in this case,

l_1=6cm\\therefore\\e=6-3\\e=3cm

hence F is given as follows;

F=(4N/cm) *3cm\\F=12.0N

hjlf3 years ago
6 0
4848484 5 5 5 5 5  =++++
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hope this helps...

3 0
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