Amass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. it takes 3.2 j of work to compress the spring by 0.11 m . if the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/s2. find the value of the spring constant and (b) the mass?

a).

b).

Explanation:

a).

The work of the spring is find by the formula:

So knowing the work can find the constant K'

Solve for K'

b).

The force of the spring realice a motion so using the force and knowing the accelerations can find the mass

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.