Fall 2018 Test 1 Chapters 2–46 Physics 103 Take-Home Instruc

Fall 2018 Test 1 Chapters 2 46 Physics 103take Homeinstructions1

All work must be shown. If you need more room attach the paper to the problem printout. No answers will be accepted without showing the process used to get the answer. 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. If a formula is used, write out the formula in symbols before any algebra or numbers are used. Follow the rules for significant figures, but don’t be fanatical. Label and box your final answers. g = 9.80 m/s² on earth. In all cases ignore air resistance. Don't forget W = mg.

Paper For Above instruction

This examination covers multiple essential physics concepts including circular motion, forces, kinematics, and energy. It requires solving problems involving areas and percent changes, free-body diagrams, forces in equilibrium and motion, vector addition, projectile motion, acceleration, and tension within systems. The assessment emphasizes detailed problem-solving steps with clear setups, force diagrams, and appropriate use of physics formulas, notably Newton's laws, kinematic equations, and vector components. Precision in calculations, proper significant figures, and clear articulation of each solution process are expected for full credit.

Problem 1: Circular Snow Coaster Area and Radius Adjustment

A circular snow coaster with a diameter of 1.20 meters is given. Calculate:

• a) The area in square meters.
• b) The area in square centimeters.
• c) The area in square miles.
• d) The percentage increase in radius needed to enlarge the area by 12.0%.

Problem 2: Ski Lift Forces and Dynamics

You are riding a ski lift with a mass of 45.0 kg. Describe all forces acting on you and their third-law pairs. Then, assuming you start from rest and reach 2.40 m/s in 0.800 s:

• a) Calculate your acceleration.
• b) Determine the distance traveled during this time.
• c) Find the maximum static friction value if the static coefficient is 0.10.
• d) Calculate the net force if the seat pushes with 90.0 N.

Problem 3: Forces on Incline and Normal Force

Sitting on a ski lift inclined at 10.0°, with mass 45.0 kg, moving at constant velocity:

• a) Draw the free-body diagram with weight components.
• b) Calculate the normal force.
• c) Determine the force exerted by the seat against your back assuming no friction.

Problem 4: Displacement Vector Addition

The trail two segments: 100.0 m at 20° north of east and 75.0 m at 10° north of west. Disregard vertical dimension:

• a) Sketch the vector addition visually.
• b) Calculate the direct route (vector sum) using components.

Problem 5: Projectile Launch and Landing Dynamics

You launch off a mogul at 10.0 m/s at 22°, landing 3.50 m vertically below:

• a) Find initial velocity components.
• b) Time in the air.
• c) Horizontal distance traveled.
• d) Final velocity components upon landing.
• e) Slope angle for a smooth landing matching your final velocity angle.

Problem 6: Skiing Downhill with Acceleration and Deceleration

Starting from rest, accelerating at 4.00 m/s² over 3.50 s, then constant speed for 2.5 s, and stopping over 1.80 s:

• a) Find the maximum speed achieved.
• b) Sketch position, velocity, and acceleration vs. time graphs.
• c) Calculate total distance traveled.
• d) Determine the average speed over the entire event.

Problem 7: Tensions and Weight in the Chairlift System

Mass of chairlift = 120 kg, your mass = 45.0 kg:

• a) Total weight of you and the chair.
• b) Minimum tension in the cable if the bend angle is less than 0.05°.

Problem 8: Inclined Plane and Friction

On a 25° slope, your mass is 45.0 kg:

• a) Draw forces and components.
• b) Find normal force.
• c) Calculate the normal force.
• d) Determine the force required to maintain constant velocity (snowplow).
• e) Find the distance needed to accelerate from 10.0 m/s to 18.0 m/s at an acceleration of 4.2 m/s².

Problem 9: Horizontal Pull with Friction

Pulling on a horizontal surface with tension 220 N at 15° angle, mass 45.0 kg, coefficient of friction 0.10:

• a) Draw the free-body diagram.
• b) Find the normal force from Y-components.
• c) Calculate the friction force.
• d) Is the system in equilibrium or accelerating? Justify.

References

• Halliday, D., Resnick, R., & Walker, J. (2014). Fundamentals of Physics (10th ed.). Wiley.
• Serway, R. A., & Jewett, J. W. (2018). Physics for Scientists and Engineers (9th ed.). Cengage Learning.
• Tipler, P. A., & Mosca, G. (2008). Physics for Scientists and Engineers. W.H. Freeman.
• Giancoli, D. C. (2008). Physics for Scientists and Engineers. Pearson.
• Knight, R. D. (2017). Physics for Scientists and Engineers: A Strategic Approach. Pearson.
• Young, H. D., & Freedman, R. A. (2019). University Physics with Modern Physics. Pearson.
• Beer, F. P., Johnston, E. R., & Deaver, S. (2014). Vector mechanics for engineers: Statics and Dynamics. McGraw-Hill Education.
• Reif, F. (2008). Fundamentals of Physics. McGraw-Hill Education.
• Hibbeler, R. C. (2016). Engineering Mechanics: Statics & Dynamics. Pearson.
• Chabay, R. W., & Sherwood, B. A. (2015). Matter & Interactions. Wiley.