At Schlitterbahn, a 75.0 kg person rides a 12.0 m high water slide. If dissipative forces do -6.25 x 10³ J on the rider as they go from rest at the top of the ride to the bottom, then what is the speed of the rider at the bottom of the slide? Include a diagram of the situation and indicate the mechanical energy at both the top and at the bottom of the slide.
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- A horizontal spring with a spring constant k = 126 kN/m is relaxed from an extension x = 9.3 cm back to its unstretched length. Calculate the change in potential energy in Joules to 2 s.f. Your Answer: AnswerThis is high school physics. Topic: Energy Conservation A 4000 kg roller coaster train full of riders approaches the loading dock at a speed of 12 m/s. It is abruptly decelerated to a speed of 6 m/s over a distance of 15 m. Determine the retarding force that acts upon the roller coaster cars.A 300-g block is dropped onto a relaxed vertical spring that has a spring constant k-210.0 N/m. The block becomes attached to the spring and compresses the spring 38.5 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by the gravitational force on it? SA Tries 0/5 While the spring is being compressed, what work is done on the block by the spring force? SubArTries 0/5 What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) Tries 0/5 If the speed at impact is doubled, what is the maximum compression of the spring? SA Tries 0/5 Post Discussion Send Feedback
- A roller coaster with a mass of 725 kg starts with a speed of 22.0 m/s at the bottom of a hill. At the top of the hill the roller coaster has a speed 14.0 m/s.(see diagram below). Assuming friction is minimal, what is the height of the hill? ? Give your answer in m to 2 decimal places.In the figure below an object of mass m starts from rest on a roller coaster with negligible friction. A hA B hB C hc Ꭰ hp (a) What terms are present in the object's mechanical energy? Choose from E O Gravitational potential energy, Spring potential energy, Kinetic energy, Work done against friction O Gravitational potential energy, Spring potential energy, Kinetic energy Spring potential energy, Kinetic energy, Work done against friction, Gravitational potential energy, Kinetic energy because, there is no friction (b) Mechanical energy is conserved Only conservative forces ◆ act. (c) Calculate the speed of the object at point D (VD) in terms of the following variables: (g, ha, hD)At Schlitterbahn, a 75.0 kg person rides a 12.0 m high water slide. If dissipative forces do -6250 J on the rider as they go from rest at the top of the ride to the bottom, then what is the speed of the rider at the bottom of the slide? Include a diagram of the situation and indicate the mechanical energy at both the top and at the bottom of the slide.
- A cyclist is riding a bike at 6.50 m/s on a horizontal track. The cyclist and their bike have a combined mass of 98 kg. How much work will be required for the cyclist to increase their speed to 10.0 m/s? Give your answer to the nearest Joule. Do not include units in your answer.Two blocks of masses m1 and m2 are connected by a cord that passes over a pulley as shown in the figure below. They start at the same height, and the hanging block is lowered through a distance h, causing the block on the incline to rise. Calculate the change in gravitational potential energy for each of the blocks. (Use any variable or symbol stated above along with the following as necessary: g, θ. Include the sign of the value in your answer.)A 4.8 kg watermelon is dropped from rest from the roof of a 25 m tall building (do not try this at home!) and feels no appreciable air resistance. a). Calculate the work done by gravity on the watermelon during its displacement from the roof to the ground. b). Just before it strikes the ground, what is the watermelon's (i) kinetic energy and (ii) speed? c). Which of the answers in parts a). and b). above would be different if there were appreciable air resistance?
- A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?question 5Please use the information in the picture to answer the question: How fast must it have leapt from the water to reach a such a great height and speed. If you stand at the bow where you can reach up to a height of 3m above the water. You can only catch a fish if it is traveling under 8.5m/s when it reaches you. Will you be able to catch the fish? Find the speed of the fish at your location. Hint: use energy conservation.