# Worksheet: Hooke's Law

In this worksheet, we will practice using F = kx (Hooke's law) to find the force constant of a spring and finding the force exerted by a spring at a given compression.

**Q1: **

In building a house, carpenters use nails from a large box. The box is suspended from a spring twice during the day to measure the usage of nails. At the beginning of the day, the spring stretches 50 cm. At the end of the day, the spring stretches 30 cm. What percentage of the nails have been used?

**Q8: **

One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. The plunger has a mass of 0.0750 kg and the maximum compression of the spring in the plunger is 0.240 m, which is sufficient for the plunger to reach a maximum speed of 27.3 m/s when it is released.

Calculate the force constant of the plunger’s spring.

What force must be exerted to compress the spring?

**Q9: **

Fish are hung on a spring scale to determine their mass. The spring is stretched 5.64 cm by a load of fish with a mass of 11.0 kg.

What is the force constant of the spring in the scale?

What is the mass of a fish that stretches the spring by 3.28 cm?

What is the distance between the half-kilogram marks on the scale?