*48. GO The drawing shows two frictionless inclines that begin at groundlevel (h = 0 m) and slope upward at the same angle 0. One track is longerthan the other, however. Identical blocks are projected up each track withthe same initial speed V9. On the longer track the block slides upward untilit reaches a maximum height H above the ground. On the shorter trackthe block slides upward, flies off the end of the track at a height H, abovethe ground, and then follows the familiar parabolic trajectory of projectilemotion. At the highest point of this trajectory, the block is a height H,above the end of the track. The initial total mechanical energy of eachblock is the same and is all kinetic energy. The initial speed of each blockis v, = 7.00 m/s, and each incline slopes upward at an angle of 0 = 50.0°.The block on the shorter track leaves the track at a height of H, = 1.25 mabove the ground. Find (a) the height H for the block on the longer trackand (b) the total height Hj + H2 for the block on the shorter track.H2Longer trackShorter track

For the block that stays on the track, its maximal height is attained when all the kinetic energy is…

Answered: *48. GO The drawing shows two…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem A) A snow boarder starts from rest at the top of a mountain. He boards a vertical distance of 50 m down the mountain, and then he goes off a jump with a speed of 20 m/s. What must be the vertical height of the jump? Assume no friction is present. 50m h= ?
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figure shows an downhill plane with the dimensions as H = 15 m, D = 19 m, and an angle ? = 54.14o. Incline has a coefficient of kinetic friction of μk = 1.90.The block of mass m = 2.8 kg starts at labelled point 1 with an initial speed v1 which slides to the labelled point 2. a) What would be the change in gravitational potential energy of the block as it moves from point 1 to point 2? increases ____ J or decreses by ____ J b) Find change in the mechanical energy of the block when it moves from point 1 to point 2? equal but opposite change, or decreases by _____ J, or increases by ___ J c) speed of the block when it arrives at point 2 is _______ the speed at point 1. greater than less than, or the same as, or none.
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During a rockslide, a 390 kg rock slides from rest down a hillside that is 460 m long and 300 m high. The coefficient of kinetic friction between the rock and the hill surface is 0.24. If the gravitational potential energy U of the rock-Earth system is set to zero at the bottom of the hill, what is the value of U just before the slide?1.15×106 J How much mechanical energy is dissipated by frictional forces during the slide? What is its speed then? What is the kinetic energy of the rock as it reaches the bottom of the hill?
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#4
Using the work-energy theorem to investigate a traffic scene A car hit a pedestrian and immediately the driver slammed on the brakes to stop the car. During the subsequent trial, the driver's lawyer claimed his client was obeying the posted 35-mi/hr speed limit. You have been called in as the state's expert witness. Your investigation of the accident found that the skid marks made while the brakes were applied until the car stopped were Ax = 94 m long. You also measured the coefficient of kinetic friction between the car's tires and the road (using a drag sled) to be μk = 0.36. (a) Use the work-energy theorem to show that the car's minimum speed vo when the driver slammed on the brakes is given by vo = √2 μg Ax (b) Use the result of part (a) to determine if the car was speeding when the pedestrian was hit. [answer: The car's speed was at least 57 mi/hr when the brakes were applied.] (c) If the car's mass is 1470 kg, how much heat energy was produced while the car was skidding? [answer:…

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