A gymnast falls from a height onto a trampoline. For a moment, both the gymnast's kinetic energy and gravitational potential energy are zero. How is the gymnast's mechanical energy stored for that moment? O rest energy O chemical energy elastic energy thermal energy
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- Conservation of Energy Calculate K, U, E for: = 500kg A = 100⁰m B = 50~ m m 700 c=0m D=50m E = 75m V=0₂V= 10 m/s 50 A 12 75- B Por K = kinetic energy U = potential energy E = total mechanical energy oAn object is moving in the potential energy landscape shown below. U(x) Describe the motion if the total mechanical energy of the object is E= - 5. Describe the motion if the total mechanical energy of the object is E = 0. 15- 10- 0 (1, 0) 5 (2,-5) 10 U(x) = = 20 (+ / -) x² 15 20 25 20 XJeanine used 250 J of energy to lift a 15 kg box. How far did she lift the box? А 1.7 m 3.8 m 17 m 380 m
- A 2.0 kg rock is released from rest at a height 0f 20.0 m. Ignore air resistance and determine the kinetic energy, gravitational potential energy, and total mechanical energy at each of the following heights: 20.0, 15.0, 10.0, 5.0 and 0mA bicyclist is stopped at the entrance to a valley, as sketched below: Where would the bicyclist have the highest potential energy? (choose one) Where would the bicyclist have the lowest potential energy? pose one) Where would the bicyclist have the highest kinetic energy? (choose one) Where would the bicyclist have the highest speed? (choose one) Would the bicyclist's kinetic energy be higher at D or A? (choose one) Would the bicyclist's potential energy be higher at D or A? (choose one) Would the bicyclist's total energy be higher at D or A? (choose one) Suppose the bicyclist lets off the brakes and coasts down into the valley without pedaling. Even if there is no friction or air resistance to slow her down, what is the farthest point the bicyclist could reach without pedaling? (choose one) Explanation Check 2021 McGraw-Hill EducalThe roller coaster has a PE of 10,000 J when it begins its downhill run. How much total energy does it have when it is halfway down the hill? Which answer below is correct 10,000 J 5,000 J 10,000 N 5,000 N
- Your humble physics Professor elevates a ball hanging from a string away from it's lowest position and holds it there. It requires 105 J of Energy to do this. What is the balls change in PE ? 100 J O 105 J O Not enough information to answer this question O 50 JHow much energy is needed to slide a 10 kg object of a horizontal surface of coefficient of friction 0.25 through a distance of 10 m? 9.8 J 245 J 45 J None of theseConsider the potential energy graph shown This graph is for a 2 kg object. At t=0 you are located at point D and moving with a speed of 6 m/s 100 90 A K (J H B Find the total mechanical energy D Compare the speed at each of the labeled points Locate any turning points. (They are not necessarily on the labeled points.) F 20 G 10 0 0 1 2 3 5 6 7 8 9 10 11 4 Position (m) Potential Energy (J)
- A 12.5-kg crate slides along a horizontal frictionless surface at a constant speed of 4.0 m/s. The crate then slides down a frictionless incline and across a second horizontal surface as shown in the figure. 4.0 m/s Reference: Ref 6-5 3.0 m 4.0m What is the kinetic energy of the crate as it slides on the lower surface? ○290J 320 J 370 J 0470 J O570 JA bicycle and rider going 11 m/s approach a hill. Their total mass is 85 kg. (a) What is their kinetic energy? in J (b) If the rider coasts up the hill without pedaling, how high above its starting level will the bicycle be when it finally rolls to a stop? In mPoint Height (y) (m) Speed (v) (m/s) Potential Energy (J) Kinetic Energy (J) Mechanical Energy (round off to the nearest thousands) A 8 m 0 m/s 3430 J 0 J 3000 J B 3 m 8.8 m/s 1470 J 1936 J 3000 J C 2 m 9.9 m/s 980 J 2450 J 3000 J - Calculate the ratio of the mechanical energy at B and mechanical energy at A (EB/EA) and (EC/EB). What do these ratios tell you about the conservation of energy? - Is the mechanical energy conserved between A and B? Explain. - Is the mechanical energy conserved between B and C? Explain