A man pulls a 10 kg box across a smooth floor with a forceof58 newton's at an angle of 13 degrees and for a distance of82meters. How much work to the nearest joule, does he do?

1. sketch and label the free-body diagram

2. Calculate the friction force in the x-direction

3. Calculate the force in the x direction

4. Write down the equation to solve the work done ontheobject

5. Calculate the work done to the nearest joule

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I often find myself dragging my luggage through airports. Assumethat my luggage has a mass of 5.0 kg and that the coefficient ofkinetic friction k between the luggage and the airport floor is0.75 (recall that friction = coefficient of kinetic friction xnormal force). I drag the luggage at a constant speed of 3.0 m/s byapplying a force at an angle of 60o to the floor. Assume that Istart from rest and finish my walk at rest.

a. Why would it be difficult to calculate the total effort I expendin dragging my luggage using Newton's laws alone?

b. What is the total work done on the luggage? How does this allowus to get around the problem in part a)?

c. Draw a free-body diagram of all the forces acting on theluggage. Which forces do non-zero work on the luggage? Try tocalculate the work done by me, friction, and the force of gravityas I drag the luggage 100 m from the check-in desk to the gateacross a horizontal floor. Use the fact that you start from restand end at rest. If you get stuck in the math, describe the generalway you would approach this problem: which work would you calculatefirst, which last?

1. A box slides down a ramp with constant velocity. The ramp israised 14.0 degrees above the horizontal. Calculate the coefficientof kinetic friction between the ramp and the box. HINTS: What isthe acceleration of the box if it slides with constant velocity?Draw a free body diagram for the box and then write out thecorresponding Newton's Law equations.

2. A box slides down a ramp with a constant acceleration of 0.100m/s2. The ramp is raised 19.0 degrees above the horizontal.Calculate the coefficient of kinetic friction between the ramp andthe box. HINT: Notice that the velocity is not constant as it wasin the previous problem. However, the free body diagrams for bothof these problems are the same. Use the free body diagram to writeout the corresponding Newton's Law equations for x and y in thecase that the acceleration down the ramp is not zero

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