Question

A luggage handler pulls a 19.0-kg suitcase up a ramp inclined at 34.0 ∘ above the horizontal by a force F⃗  of magnitude 161 N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the incline is 0.330. The suitcase travels 3.70 m along the ramp.

1.Calculate the work done on the suitcase by F⃗ .

2.Calculate the work done on the suitcase by the gravitational force.

3.Calculate the work done on the suitcase by the normal force.

4.Calculate the work done on the suitcase by the friction force.

5.Calculate the total work done on the suitcase.

6.If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 3.70 m along the ramp?

Answer 1

1) The work done on the suitcase by force F is

2) The work done on the suitcase by the gravitational force is

For the magnitude, omit the minus sign

3) the normal force is perpendicular to the direction of movement of the luggage.

hence the work done on the suitcase by the normal force is zero

W = 0

4) The work done on the suitcase by the friction force is

5) The total work done on the suitcase is

6) Equate the work done to the final kinetic energy

This gives its speed after it has traveled 3.70 m along the ramp