Suitcase Ramp
HI everybody! I need help with these questions!! Thanks?
A luggage handler pulls a suitcase of mass 19.2 kg up a ramp inclined at an angle 20.0 degrees above the horizontal by a force of magnitude 155 N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the incline is 0.270. The suitcase travels a distance 4.20 m along the ramp.
B)Calculate the work done on the suitcase by the friction force
C) acceleration to be = 9.80 .
Calculate the total work done on the suitcase.
D) If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 4.20 m along the ramp?
Take the free fall acceleration to be = 9.80
b) Work = force * displacement
Force of friction = mu * normal force = mu mg cos theta
Work = mu mg distance cos theta
They give you the coefficient (mu), the mass (m), and the angle (theta). You know g. Plugnchug. This should actually be negative because the force opposes the displacement.
c) Work of pull = force * displacement
This is trivial
Total work = work of pull minus the work of friction
d) Change in kinetic energy = 1/2 mv^2 = total work
so v = sqrt (2 * total work / m)
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