Question

What is the elastic potential energy of a rubber band with a spring constant of 25.0 N/m if it is stretched by 10.0 cm from its original length?

Answer 1

The elastic potential energy of the rubber band is 0.125 J.

Step-by-step explanation:

The elastic potential energy of a rubber band can be calculated using the formula:

PE = ½kx²

Where:

• PE is the elastic potential energy
• k is the spring constant
• x is the displacement or change in length from the original length

In this case, the spring constant is given as 25.0 N/m and the displacement is 10.0 cm, or 0.1 m.

Substituting these values into the formula, we get:

PE = ½(25.0 N/m)(0.1 m)² = 0.125 J

Answer 2

Answer: 1,250 joules

Explanation: elastic potential energy is half of the spring constant multipied by extention squared so its 12.5 multiplied by 100 which is 1,250