To compress the spring by 6 cm, you need to apply a force of 120 N. What force must be applied
August 1, 2021 | education
| 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.
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