Hooke’s Law Worksheet #1
1. A rubber band is stretched from its resting position a distance of 0.1 m. If the spring constant is k = 2.5 N/m, what is the force being exerted on the rubber band?
2. If a spring is stretched a distance of 0.25 m with a force of 20 N, what is the value of the spring constant k?
3. If the spring constant k of a pogo stick is 3500 N/m and the weight of the person on the pogo stick is 700 N, how much is the spring in the bottom of the pogo stick compressed?
4. A 20 kg cart on wheels has been pushed up against a wall with a spring (k = 244 N/m) between the wall and the cart. If the spring is compressed a distance of 0.1m and a force of 20 N is continued to be applied toward the wall, what will the acceleration of the object be?
5. A spring (k = 2.3 N/m) is attached to an object of mass = 10 kg. If the object is hung from the ceiling by this spring, how much would the spring be stretched?

The solutions of the given problems are required.

The force is 0.25 N

The spring constant is 80 N/m

The displacement is 0.2 m.

The acceleration is

The displacement is 42.65 m.

F = Force

m = Mass

k = Spring constant

x = Displacement of spring

g = Acceleration due to gravity =

x = 0.1 m

k = 2.5 N/m

Force is given by

F = 20 N

x = 0.25 m

k = 3500 N/m

W = 700 N

The force balance is

m = 20 kg

k = 244 N/m

x = 0.1 m

= Applied force = 20N

Force balance is

k = 2.3 N/m

m = 10 kg

Force balance is

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1. F = 0.25N

2. k = 80 N/m

3. x = 0.2m

4. a = 1m/s²

5. x = 42.6m

Explanation:

1. F = kx

  F = 2.5 X 0.1

  F = 0.25N

2. x = 0.25m

   F = 20 N

   F = kx

   20 = k X 0.25

   k = 80 N/m

3. k = 3500 N/m

   F = 700 N

   x = ?

   700 = 3500 x

   x = 0.2m

4. m = 20kg

   k = 244 N/m

   x = 0.1m

   F = 20N

   a = ?

   F = ma

   20 = 20 a

    a = 1m/s²

5. k = 2.3 N/m

   m = 10kg

   x = ?

   F = kx

   10 X 9.8 = 2.3 x

    x = 42.6m

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