what is the restoring force of a spring with a spring constant of a 4a and a stretched displacement of 3b?

Thus, the restoring force is - 12 a b.

Given:

Spring constant = 4 a

Stretched displacement = 3 b

To find:

Restoring force = ?

Formula used:

The restoring force is given by,

F = - k x

Where F = restoring force

spring constant = k = 4 a

stretched displacement = x = 3 b

Solution:

The restoring force is given by,

F = - k x

Where F = restoring force

spring constant = k = 4 a

stretched displacement = x = 3 b

F = - (4 a) (3 b)

F = - 12 a b

Thus, the restoring force is - 12 a b.