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An object with a mass of 56.0 kg is fired with an initial speed of 1.40  102 m/s at an angle of 30.0° above the horizontal from a 142 m high cliff (take ground level to be y = 0 m). (a) Determine the initial total mechanical energy (in J) of the system of the projectile and the earth. J (b) If when the projectile is at its maximum height of y = 346 m, it is traveling 99.2 m/s, determine the amount of work (in J) that has been done on the projectile by air resistance.   J (c) What is the speed (in m/s) of the projectile immediately before it hits the ground, if air resistance does one and a half times as much work on the projectile when it is going down as it did when it was going up?

An object with a mass of 56.0 kg is fired with an initial speed of 1.40  102 m/s at an angle of 30.0° above the horizontal from a 142 m high cliff (take ground level to be y = 0 m). (a) Determine the initial total mechanical energy (in J) of the system of the projectile and the earth. J (b) If when the projectile is at its maximum height of y = 346 m, it is traveling 99.2 m/s, determine the amount of work (in J) that has been done on the projectile by air resistance.   J (c) What is the speed (in m/s) of the projectile immediately before it hits the ground, if air resistance does one and a half times as much work on the projectile when it is going down as it did when it was going up?

College Physics
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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An object with a mass of 56.0 kg is fired with an initial speed of 1.40  102 m/s at an angle of 30.0° above the horizontal from a 142 m high cliff (take ground level to be y = 0 m).
(a) Determine the initial total mechanical energy (in J) of the system of the projectile and the earth. J
(b) If when the projectile is at its maximum height of y = 346 m, it is traveling 99.2 m/s, determine the amount of work (in J) that has been done on the projectile by air resistance.   J
(c) What is the speed (in m/s) of the projectile immediately before it hits the ground, if air resistance does one and a half times as much work on the projectile when it is going down as it did when it was going up?
Expert Solution
Step 1: (a) Determine the initial total mechanical energy (in J) of the system

straight E subscript straight i equals 1 half mv subscript straight i squared plus mgy subscript straight i straight E subscript straight i equals 1 half cross times 56.0 cross times left parenthesis 1.40 cross times 10 squared right parenthesis squared plus 56.0 cross times 9.81 cross times 142 straight E subscript straight i equals 6.27 cross times 10 to the power of 5 space straight J

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