Aspring has an unstretched length of 10 cm. it exerts a restoring force f when stretched to a length of 11 cm. part a for what length of the spring is its restoring force 3f?

The restoring force in the spring will be if it is stretched to a length of .

Further Explanation:

When a spring is we compressed or stretched, there is a force which develops in the spring restoring force of the spring which tends to bring the spring back to normal length.

The restoring force of the spring is expressed as:

                           ......(1)

Here, is the force developed in the spring due to stretching,   is the spring constant and is the change in length of the spring.

Substitute the values of and in equation (1).

The restoring force of is experienced by the spring when the stretched length of the spring should be:

Substitute for in above expression.

Therefore, the new length of the spring will be:

Thus, the restoring force in the spring will be if it is stretched to a length of .

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Work and energy

Keywords:  Spring, unstretched length, compressed, stretched, restoring force, 3F, 11 cm, F=kx, natural length of spring.

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answer; equivalent to a one(1) horsepower motor;