While on the surface of the planet mars a mass of 1 kginitially at rest falls a height of 1m onto a spring. The spring isobserved to compress 0.2m. After returning to earth a mass of 5kgis now connected to the same spring and is damped by a force F=-2vN(v is velocity) The spring is pulled a distance of x=15cm andreleased to start the oscillation.
a) What is the spring constant K?
b) Write the equation of motion for the oscillationx(t)=..
c) What is the period of oscillation?
d) What is the starting energy of the oscillator?
e) What is the energy after 3sec of oscillation?
f) After how many seconds will the energy be half of thestarting energy?