Answer:
25N
Explanation:
From hooke's law,
The force (F) is directly proportional to the extention (e) caused by the force.
This is represented mathematically as:
F & e
F = Ke
K = F /e
Therefore, we F1/e1 = F2/e2
Data obtained from the question include:
F1 (initial force) = 5N
e1 (initial extension) = 2cm = 2/100 = 0.02m
F2 (final force) =?
e2 (final extension) = 10cm = 10/100 = 0.1m
F1/e1 = F2/e2
5/0.02 = F2/0.1
Cross multiply to express in linear form as shown below:
0.02 x F2 = 5 x 0.1
Divide both side by 0.02
F2 = (5 x 0.1) / 0.02
F2 = 25N
Therefore, a force of 25N is needed to extend the spring 10cm
