Skateboarder Hony Tawk completes a circular loop-the-loop (i.e. never leaves contact with the loop). Neglect rolling friction. Which of the following statements are true regarding Hony's motion?
Added by Dustin Y.
Step 1
The key point is that Hony never loses contact with the loop, meaning the normal force between Hony and the track is always greater than or equal to zero. Show more…
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Figure 1, one more time... Top of loop Base of loop The situation is the same as in the previous question. The cart starts from rest at a height of d1. The cart rolls without any friction. It passes the base of the loop, the top of the loop, and the horizontal section to the right of the loop. Some of the following statements might be true but a student who disagrees with the statement might be correct as well. More than one statement may be applicable, so choose all that apply. Which of the following statements might be true? [This includes the statements that must be true AND ALSO statements the might be true while other correct answers are also possible.] The gravitational potential energy of the "Earth + cart" system is ( m g d1 ) when the cart starts from rest. The kinetic energy of the cart is ( m g d1 ) when it is at the base of the loop. The Earth does positive work on the cart as the cart moves from the starting position to the base of the loop. The normal force from the track is doing positive work on the cart when the cart is at the base of the loop. The normal force from the track is doing negative work on the cart when the cart is at the top of the loop. As the cart moves from the base of the loop to the top of the loop, the gravitational potential energy of the "Earth + cart" system increases by the amount: [ m g (r1 + r2) ]
Sri K.
To clear it safely, Francisco must be in contact with the loop at all times. Since he is most likely to lose contact at point 3, it is enough to ensure he is going at a sufficiently high speed to just avoid losing contact at this point. If the loop's radius is 2.5 m, what is the minimum speed he should have at point 3? Express your answer in mi/hr. (Note that this is not the speed with which he should approach the loop at point 1; you’ll learn how to calculate that later on in the course.) (Hint: what is the magnitude of the normal force at point 3 at this minimum speed?) Which of the following statements correctly describe Francisco’s motion as he “loops the loop”? Choose all that apply. a. He executes uniform circular motion b. His tangential velocity vector is always perpendicular to his acceleration vector c. He moves with constant angular velocity d. He moves with constant linear speed e. His linear speed reaches a minimum at point 3
Dominique Jan T.
60 kg skateboarder (including the skateboard) wants to figure out how fast he needs to be traveling at the top of a loop in order to complete the loop. Answer all questions for the case under which he just barely loses contact with the loop as he reaches the top, as shown. Neglect drag and the size of the skateboarder. Number of forces in plane: Centripetal force: Are all forces balanced? 14 m What is the radius of curvature of the path? [unit] What is the centripetal net force on the skateboarder? [unit] What is the skateboarder's centripetal acceleration? [unit] What is the skateboarder's speed? [unit] Would the skateboarder remain in contact with the loop if he reached the top at a speed of 6 m/s?
Timothy J.
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