Question

A spring is used as part of a lift system and follows Hooke's law. If the spring is

displaced 85 cm when the force acting on it is 12500 N what is the displacement
when the force increases to 15500 N?

Answer 1

1.05m or 105cm

Step-by-step explanation:

Using the hooke's law equation as follows;

F = –k.x

Where;

F = force (N)

x = extension length (m)

k = constant of proportionality (N/m)

According to the information given in this question;

Displacement (x) = 85cm = 85/100 = 0.85m

Force = 12500N

Using F = kx, we find the proportionality constant

k = F/x

K = 12500/0.85

K = 14705.8N/m.

Also, since K = 14705.8N/m, the displacement (x), when the force increases to 15500N is;

F = kx

x = F/k

x = 15500/14705.8

x = 1.05m or 105cm