Spring Force (Hooke's Law) Video Lessons

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Problem: One type of BB gun uses a spring-driven plunger to blow the BB from its barrel.A. Calculate the force constant of its plunger's spring if you must compress it to 0.150 m to drive the 0.0500-kg plunger to a top speed of 20.0 m/s.B. What force must be exerted to compress the spring?

FREE Expert Solution

From the law of conservation of energy, the potential energy is conserved into kinetic energy and vice versa. 

That is, U = K

The potential energy of spring:

U=12kx2, where k is the force constant and x is the displacement. 

Kinetic energy:

K=12mv2

Force on the spring:

F=-kx

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Problem Details

One type of BB gun uses a spring-driven plunger to blow the BB from its barrel.

A. Calculate the force constant of its plunger's spring if you must compress it to 0.150 m to drive the 0.0500-kg plunger to a top speed of 20.0 m/s.

B. What force must be exerted to compress the spring?

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