In: Physics
2. A spring whose coefficient is k is compressed by length d and a block of mass m is placed right next to the end of the spring. When the spring is released, the block acquires a velocity and keeps on moving along a horizontal smooth surface until it reaches an inclined plane whose angle is θ and whose coefficient of friction with the block is μ. It travels up the inclined plane for a while before reaching maximum height.
a) What is the change of the kinetic energy of the block?
b) What is the change of the potential energy of the spring?
c) Whatisthechangeofthegravitationalpotentialenergy?
d) What is the change of the total energy of the system?
e) What is the work done by non-conservative forces?
f) Use these results to find the maximum height h as a function of the other variables.
d) since, total energy remains conserved hence, change in total energy of the system is zero.