College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-m-high hill, then descends 15 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.1 m and that a loaded car will have a maximum mass of 400 kg. For safety reasons, the spring constant should be 12% larger than the minimum needed for the car to just make it over the top. Part A Part B What is the maximum speed of a 340 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. ► View Available Hint(s) V = O Value Submit Units ?arrow_forwardA freight company uses a compressed spring to shoot 1.80 kg packages up a 1.00-m -high frictionless ramp into a truck, as the figure(Figure 1) shows. The spring constant is 321 N/m and the spring is compressed 35.0 cm. What is the speed of the package when it reaches the truck? A careless worker spills his soda on the ramp. This creates a 50.0-cm-long sticky spot with a coefficient of kinetic friction 0.55. How high up the ramp will the package go after crossing the sticky spot?arrow_forwardYou have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up vertically and compress the spring 0.300 m. It launches the block up to a max height of 2.20 m. What is the spring constant?arrow_forward
- A 0.90 kg brick compresses a spring 0.35 meters at point A and the spring has a spring constant of 75 N/m. How much elastic potential energy does the brick possess? A В hA = 0 he = 0 VA = 0 Vв > 0 A 3.20 Joules 984 Joules 4.59 Joules 675 Joules O O O Oarrow_forwardIn the Hunger Games movie (https://openstaxcollege.org/l/21HungGamesclip) , Katniss Everdeen fires a 0.0200-kg arrow from ground level to pierce an apple up on a stage. The spring constant of the bow is 330 N/m and she pulls the arrow back a distance of 0.55 m. The apple on the stage is 5.00 m higher than the launching point of the arrow. At what speed does the arrow (a) leave the bow? (b) strike the apple?arrow_forwardA pogo stick has a spring with a spring constant of 2.5 × 104 N/m, which can be compressed 12.0 cm. To what maximum height from the uncompressed spring can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40 kg?arrow_forward
- A mass of 25kg is attached to a spring (k=650N/m) and is hung from a ceiling. The mass is released at a height h when the spring is unstretched. a) What is the speed of the mass when it has fallen a distance of 0.30m? b) What is the minimum release height (h) if the mass does not strike the floor? Both parts answered.arrow_forwardA certain spring is found not to obey Hooke's law; it exerts a restoring force F(x) = -ax² - 6x³ if it is stretched or compressed, where: a = 10.0N/m², B = 300.0N/m³ The mass of the spring is negligible. Calculate the potential energy function U(x) for this spring, if U(x=0) = 0. Find the spring potential energy at x = 0.500 marrow_forwardIn the movie Monty Python and the Holy Grail (https://openstaxcollege.org/l/21monpytmovcl) a cow is catapulted from the top of a castle wall over to the people down below. The gravitational potential energy is set to zero at ground level. The cow is launched from a spring of spring constant 1.1 × 104 N/m that is expanded 0.5 m from equilibrium. If the castle is 9.1 m tall and the mass of the cow is 110 kg, (a) what is the gravitational potential energy of the cow at the top of the castle? (b) What is the elastic spring energy of the cow before the catapult is released? (c) What is the speed of the cow right before it lands on the ground?arrow_forward
- . A pogo stick has a spring with a spring constant of 2.5×104N/m,, which can be compressed 12.0 cm. To what maximum height from the uncompressed spring can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40 kg?arrow_forward(Figure 1) depicts the potential energy of a 660-kg pallet that slides from rest down a frictionless roller conveyer ramp, then moves across a frictionless horizontal conveyer, and finally encounters a horizontal spring at x=4.0m. What is the angle of inclination of the conveyer ramp? What will be the speed of the pallet at x=6.0m if it begins sliding from rest at x=0?arrow_forward
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