A 5.245 kilogram block is released from rest at a height of 4.25 meter on a frictionless ramp (left ramp). The left ramp is at an angle of 27.6o to the horizontal. The block then slides down the left ramp and smoothly onto a frictionless horizontal surface. After the block has traveled 5.098 meter on the frictionless horizontal surface it encounters a 4.9 meter long rough patch. The coefficient of kinetic friction between the rough patch and the block is 0.100. When the block leaves the rough patc hit continues 13.988 meter over the horizontal frictionless surface, then slides smoothly up a second frictionless ramp (right ramp) until it stops. The right ramp is at an angle of 33.3o to the horizontal.
a) Find the initial total energy of the block?
b) Find the total energy of the block at the bottom of the first ramp?
c) Find the total energy of the block just before it hits the rough patch?
d) Find the total energy of the block right after it leaves the rough patch?
e) Find the max height the block goes up to on the second ramp?
After reaching the max height on the right ramp, the block slide back down and begins to travel toward the left ramp. The block continues to slide back and forth between the ramps until it finally stops.
f) Find where does the block finally stop?
g) Find how many trips does the block make? (The first trip to the right ramp is trip #1 and the following trip to the left ramp is trip #2)