contestada

What is the potential energy of a spring that is compressed 0.65 m by a 25 kg block if the spring constant is 95 N/m?

Respuesta :

PE = 0.5 kx^2 = 0.5 x 95 x (0.65)^2 = 20 J 

This formula can be proved with integration. 

The correct answer to the question is 20.07 J.

CALCULATION:

The mass of the block attached to the spring is given as m = 25 kg.

The force or spring constant of the spring is given as k = 95 N/m.

Due to the block, the spring was compressed to a distance x = 0.65 m.

We are asked to calculate the potential energy of the spring. When the spring is compressed, there will be change in its configuration . Due to this change, the spring will gain elastic potential energy.

The elastic potential energy of the spring is calculated as -

                      Potential energy P.E = [tex]\frac{1}{2}kx^2[/tex]

                                                         = [tex]\frac{1}{2}\times 95\ N/m \times (0.65m)^2[/tex]

                                                         = 20.07 Joule               [ans]

Hence, the potential energy of the spring is 20.07 J.