If a spring constant of 128N/m is compressed by 0.18 m , how much potential energy is the spring?

2.1J

Explanation:

Given parameters:

Spring constant  = 128N/m

Compression  = 0.18m

Unknown:

Potential energy of the spring  = ?

Solution

The potential energy of the spring is the elastic potential energy within the spring.

 To solve this;

   Elastic potential energy  =  k e²  

k is the spring constant

e is the compression

 Now;

     Elastic potential energy  =   x 128 x 0.18²  = 2.1J

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.