A luggage handler pulls a suitcase of mass 19.4kg up a ramp inclined at an angle

Question

A luggage handler pulls a suitcase of mass 19.4kg up a ramp inclined at an angle 29.0 above the horizontal by a force of magnitude 155N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the incline is 0.254. The suitcase travels a distance 4.20m along the ramp.
a-Calculate the work done on the suitcase by the force

b-Calculate the work done on the suitcase by the gravitational force.

c-Calculate the work done on the suitcase by the normal force

d-Calculate the work done on the suitcase by the friction force.
e-Calculate the total work done on the suitcase
f-If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 4.20 along the ramp?

Explanation / Answer

a. it is F=4.2*155=651(J). b. it is -Mg*4.2*sin29=-387(J). c. zero. d. it is -Mg*4.2*cos29*0.254=-177. e. it is 651-387-177=87(J). f. it is 87=mv^2/2 so v=3(m/s)

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