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. Can you express the initial total mechanical energy of the object-earth system in terms of the initial kinetic energy of the object and potential energy of the system? Can you write expressions for the initial kinetic energy of the object and potential energy of the system? 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.
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. Can you express the initial total mechanical energy of the object-earth system in terms of the initial kinetic energy of the object and potential energy of the system? Can you write expressions for the initial kinetic energy of the object and potential energy of the system? 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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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.
Can you express the initial total mechanical energy of the object-earth system in terms of the initial kinetic energy of the object and potential energy of the system? Can you write expressions for the initial kinetic energy of the object and potential energy of the system? 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.
Can you obtain an expression for the total energy of the system at the object's maximum height? Can you write an expression for the work done on the object by air resistance as it travels to the top of its trajectory in terms of the total energy and the maximum height and the total energy at the launch site? 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?
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