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Physics Exam: Fall 2005 - Problem Solving in Physics 131, Exams of Physics

Dr. Bhim Rao Ambedkar UniversityPhysics

The final exam for physics 131, fall 2005. The exam covers various topics in physics such as projectile motion, gravity on strange planets, pulleys, roller coasters, and explosions. Students are required to solve problems and show their work or provide a brief explanation for each answer.

Typology: Exams

2012/2013

Uploaded on 02/25/2013

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AJM:9/24/06 Page 1 of 6 Score /100
Physics 131 Final Exam Fall 2005
Name
PLEASE READ THIS FIRST:
• Time limit: 125 minutes
• You may use two sheets of prepared notes (8 ½ x 11, both sides).
• Please remove hats and turn off and put away all communication devices.
• Perform all of your work on these sheets. If you need more space, use the back of the same sheet. If you run
out of space, ask me for a blank sheet of paper and stap le it to the back of your ex am before turning it in.
• Read each problem carefully and be sure to pay attention to any hints that are provided. The credit you receive
on each problem will depend more on how you get you r answer than on what ans wer you get. There is no need
to be as “wordy” as I ask you to be on homework, but you must show your work or give at least a brief
explanation for every answer. I give no credit for unsupported answers. I do give partial credit for partially
correct solutions, but only when I can determine that what you are doing is partially correct.
• Make certain that all numerical answers are given with a reasonable number of significant digits (when in
doubt, three is usually a good compromise) and that yo u have included appropriate and simplified units.
• Check your answers for physical reasonableness whenever possible; I do deduct a small number of points for
ridiculous answers that you don’t comment on.
• You may use g = 10.0 m/s2 in all problems to make the arithmetic easier.
1. [15 pts total] A gun fires a bullet upward from ground level with an initial speed of 280 m/s.
a) If air resistance could be neglected, how long a time would the bullet be in the air and …
b) … how high would it go?
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AJM:9/24/06 Page 1 of 6 Score /

Physics 131 Final Exam Fall 2005

Name PLEASE READ THIS FIRST :

  • Time limit: 125 minutes
  • You may use two sheets of prepared notes (8 ½ x 11, both sides).
  • Please remove hats and turn off and put away all communication devices.
  • Perform all of your work on these sheets. If you need more space, use the back of the same sheet. If you run out of space, ask me for a blank sheet of paper and staple it to the back of your exam before turning it in.
  • Read each problem carefully and be sure to pay attention to any hints that are provided. The credit you receive on each problem will depend more on how you get your answer than on what answer you get. There is no need to be as “wordy” as I ask you to be on homework, but you must show your work or give at least a brief explanation for every answer. I give no credit for unsupported answers. I do give partial credit for partially correct solutions, but only when I can determine that what you are doing is partially correct.
  • Make certain that all numerical answers are given with a reasonable number of significant digits (when in doubt, three is usually a good compromise) and that you have included appropriate and simplified units.
  • Check your answers for physical reasonableness whenever possible; I do deduct a small number of points for ridiculous answers that you don’t comment on.
  • You may use g = 10.0 m/s^2 in all problems to make the arithmetic easier.
  1. [15 pts total] A gun fires a bullet upward from ground level with an initial speed of 280 m/s. a) If air resistance could be neglected, how long a time would the bullet be in the air and … b) … how high would it go?
  1. [15 pts] On a strange planet, a ball moving at 20 m/s rolls horizontally off the roof of a 10 m tall building and hits the ground 32 m away from the base of the building. What is g on this planet? [Hint: Consider the horizontal motion first .]
  1. [20 pts total] You are riding in a roller coaster car that starts essentially at rest at the top of an 18 m hill as shown at right. It subsequently passes around a loop-the-loop. The top of the loop is 12 m above the ground and has a radius of curvature of 8.0 m. a) [8] How fast will you be going at the top of the loop? [Assume that friction is negligible.] b) [10] At the top of the loop (where you and the car are upside down), what is the ratio of the normal force that acts on you to your usual weight? c) [2] Why is that ratio of interest to the engineers who design the roller coaster?
  1. [20 pts total] A body moving at 27 m/s explodes into two pieces. One piece has one quarter of the total mass and ends up moving at 45 m/s in a direction perpendicular to the initial direction of motion. a) [2] Draw good before and after pictures showing the objects and their velocities. b) [2] In one sentence explain why the explosion is effectively a “ totally inelastic collision” in reverse. c) [12] Find the velocity (magnitude and direction) of the larger piece after the collision. d) [4] Determine the percentage increase in the total kinetic energy caused by the explosion. [EXTRA CREDIT 5 pts] Suppose you watch the explosion from a reference frame that moves along with the object before the explosion and continues to move with the same velocity after the explosion. Find the velocities of the two after explosion objects in that reference frame and explain why your answers make sense.