MP44 Work and Force
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MP44 Work and Force

Course Number: PHYS 2211, Fall 2010

College/University: Georgia Tech

Word Count: 787

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[ Print View ] [ Print ] Course PHYS2211FALL07 MP44: Work and Force Due at 11:59pm on Thursday, November 8, 2007 View Grading Details Work from a Constant Force Learning Goal: To understand how to compute the work done by a constant force acting on a particle that moves in a straight line. In this problem, you will calculate the work done by a constant force. A force is considered constant if is independent...

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Print [ View ] [ Print ] Course PHYS2211FALL07 MP44: Work and Force Due at 11:59pm on Thursday, November 8, 2007 View Grading Details Work from a Constant Force Learning Goal: To understand how to compute the work done by a constant force acting on a particle that moves in a straight line. In this problem, you will calculate the work done by a constant force. A force is considered constant if is independent of . This is the most frequently encountered situation in elementary Newtonian mechanics. Part A Consider a particle moving in a straight line from initial point B to final point A, acted upon by a constant force . The force (think of it as a field, having a magnitude and direction at every position ) is indicated by a series of identical vectors pointing to the left, parallel to the horizontal axis. The vectors are all identical only because the force is constant along the path. The magnitude of the force is B to point A is (of magnitude , making and angle , and the displacement vector from point (radians) with the positive x axis). Find , the work that the force performs on the particle as it moves from point B to point A. Hint A.1 Formula for work done by a constant force Hint not displayed Part A.2 Find the angle between and Part not displayed Express the work in terms of , , and . Remember to use radians, not degrees, for any angles that appear in your answer. ANSWER: = This result is worth remembering! The work done by a constant force of magnitude length , is , which acts at an angle of . This equation correctly gives the sign in this problem. Since with respect to the direction of motion along a straight path of is the angle with respect to the positive x axis (in radians), ; hence . Part B Now consider the same force done by Hint B.1 acting on a particle that travels from point A to point B. The displacement vector now points in the opposite direction as it did in Part A. Find the work in this case. A physical argument Hint not displayed Express your answer in terms of , ANSWER: , and . = The Work Done in Pulling a Supertanker Two tugboats pull a disabled Each supertanker. tug exerts a constant force of 2.00106 tanker a distance 0.680 toward the north. Part A What is the total work done by the two tugboats on the supertanker? Hint A.1 How to approach the problem , one at an angle 10.0 west of north, and the other at an angle 10.0 east of north, as they pull the Hint not displayed Part A.2 Find the work done by one tugboat Part not displayed Express your answer in joules. ANSWER: 2.68109 Work on a Sliding Block A block of weight sits on a frictionless inclined plane, which makes an angle with respect to the horizontal, as shown. A force of magnitude , applied parallel to the incline, pulls the block up the plane at constant speed. Part A The block moves a distance up the incline. The block does not stop after moving this distance but continues to move with constant speed. What is the total work by all forces? (Include only the work done after the block has started moving, not the work needed to start the block moving from rest.) Hint A.1 What physical principle to use Hint not displayed Part A.2 Find the change in kinetic energy Part not displayed Express your answer in terms of given quantities. ANSWER: Part B =0 done on the block What is , the work done on the block by the force of gravity as the block moves a distance Hint B.1 up the incline? Force diagram Hint not displayed Part B.2 Force of gravity component Part not displayed Express the work done by gravity in terms of the weight ANSWER: and any other quantities given in the problem introduction. = Part C What is , the work done on the block by the applied force Hint C.1 as the block moves a distance up the incline? How to find the work done by a constant force Hint not displayed Express your answer in terms of ANSWER: and other given quantities. = Part D What is , the work done on the block by the normal force as the block moves a distance Part D.1 up the inclined plane? First step in computing the work Part not displayed Express your answer in terms of given quantities. ANSWER: Summary =0 3 of 3 items complete (103.83% avg. score) 3.12 of 3 points

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