We must apply a force of magnitude 83 n to hold the block stationary at x = −2.0 cm. from that position we then slowly move the block so that our force does +4.8 j of work on the spring-block system; the block is then again stationary. what is the block's position x? (there are two answers.)

The concept required to develop this problem is Hook's Law and potential elastic energy.

By definition the force by Hooke's law is defined as

Where,

k = Spring Constant

x = Displacement

On the other hand, the elastic potential energy is defined as

With the given values we can find the value of the spring constant, that is,

Applying the concepts of energy conservation then we can find the position of the block, that is,

Therefore the position of the block can be then,

the body's situation won't change the forces are equal opposit and on the same body