1. All work must be shown. If you need more room attach the paper to the problem printout.

2. No answers will be accepted without showing the process used to get the answer.

3. The process (setup) is a large part of the grade. I need to easily see how you got your answer or you will receive no points.

4. If a formula is used, write out the formula in symbols before any algebra or numbers are used.

5. Follow the rules for significant figures, but don’t be fanatical.

g = 9.80 m/s2 on earth In all cases ignore air resistance. Don’t forget W = mg.

Problems

1. You have a circular snow coaster with a diameter of 1.20m. (significant figures count in this problem)

a. What is the area in m2?

b. What is the area in cm2?

c. What is the area in mi2?

d. You desire to the area to be larger by 12.0%. By what percentage must you increase the radius?

1. You decide to go skiing and you jump on the ski lift chair. Assume your mass is 45.0kg.

a. In the blanks below, describe all forces on the FBD and then list the third law pair which is not on the body.

Force label Force description 3rd law pair description

F1 Example: friction of seat on butt friction of butt on seat

F2 _________________________________ ______________________________________

F3 _________________________________ _________________________________________

F4 __________________________________ __________________________________________

a. If you are initially at rest, what is your acceleration if the chair gets you to a speed of 2.40m/s in

0.800 s?

b. How far do you go during this time?

c. If the static coefficient of static friction between the seat and your posterior is 0.10, what is the maximum value of static friction?

d. If the seat back pushes you with a force of 90.0N, what is the net force on your body?

1. As the ski lift goes up, you are sitting at a comfortable 10.0 degrees from the horizontal. You are moving at a constant velocity. Your mass is 45.0kg.

a. Draw the FBD of you. Show the x and y components of the weight.

b. Find the normal force

c. Assuming no friction what must be the force of the seat against your back.

1. When you reach the top of the mountain you notice the trail goes 100.0m 20 degrees North of East and then goes 75.0 m 10 degrees North of west. Disregard the vertical dimension.

a. Draw a vector sketch (arrows) showing the addition of the two displacements.

b. Find the direct route (vector sum) by using the component method.