Reference no: EM132190808

Question: Instructions: 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.

6. Label and box your final answers.

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?

2. 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?

3. 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.

4. 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.

5. Being a little daring you launch off a mogul with a speed of 10.0 m/s and an angle of 22 degrees. You land 3.50 m vertical below the launch point.

a. Find the components of the initial velocity.

b. How long are you in the air?

c. What horizontal distance do you go through the air before landing?

d. Find the velocity components when you land.

e. What angle should the slope be for a smooth landing? This means the angle should be the same as your final velocity angle.

6. As a new downhill skier you go straight down the mountain. You begin from rest and during the first 3.50 seconds you accelerate at 4.00 m/s2. You then continue at a constant speed for 2.5 seconds until you crash and burn. During the crash you stop in 1.80 seconds. For simplicity accelerations will be considered uniform.

a. What is the your top speed?

b. Draw the graphs of position vs. time; velocity vs. time and acceleration vs. time for the whole sequence of events. Use the graph paper at the end of the test. Put all three graphs with one time axis as we did in lab 3.

c. What is the total distance from the top of the hill to the point you are loaded onto the stretcher?

d. What was your average speed for the whole event?

7. If the ski lift chair has a mass of 120kg. and your mass is 45.0kg.

a. What is the total weight of you and the chair?

b. If the cable is to bend so the angle is less then .05 degrees what is the minimum tension. Use the diagram below to help

8. You come to a steep part of a hill where the slope is 25 degrees. Your mass is 45.0kg.

a. Draw the forces on the FBD above..

b. On the FBD show the components of the weight, one parallel to the slope and one perpendicular to the slope.

c. What is the normal force?

d. To slow down you snowplow. What force must the skis produce to keep you velocity constant?

e. You once again desire to go faster and you accelerate at 4.2 m/s2. If your initial speed at this stretch was 10.0 m/s how long( distance) is the stretch if your final speed was 18.0 m/s?

9. Your buddy decides to pull you with a rope on a horizontal surface. The coefficient of friction is 0.10. The rope is pulled at angle of 15 degrees above the horizontal. Your mass is 45.0kg. The rope tension is 220.N.

a. Draw the FBD of you below.

b. Use the sum of the Y-components to find the normal force. (note: it is not equal to the weight)

c. Find the friction forced. Are you in equilibrium or accelerating? Give the reason for your answer.

Information related to above question is enclosed below:

Attachment:- takehome2018physics103.rar