To compress the spring by 6 cm, you need to apply a force of 120 N. What force must be applied

To compress the spring by 6 cm, you need to apply a force of 120 N. What force must be applied to the spring to compress it by 4.5?

Given:

dx = 6 centimeters = 0.06 meters – the amount of compression of the spring;

F = 120 Newton – the force that needs to be applied to compress the spring by dx;

dx1 = 4.5 centimeters = 0.045 meters.

It is required to determine the force F1 (Newton), which must be applied to compress the spring by the value dx1.

Find the coefficient of spring stiffness:

k = F / dx = 120 / 0.06 = 2000 Newton / meter.

Then the required force will be equal to:

F1 = k * dx1 = 2000 * 0.045 = 90 Newtons.

Answer: To compress the spring by 4.5 centimeters, you need to apply a force equal to 90 Newtons.