Chapter 4: Problem 3
State Newton's law of universal gravitation in words. Then express it in one equation.
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These are the key concepts you need to understand to accurately answer the question.
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Chapter 4: Problem 3
State Newton's law of universal gravitation in words. Then express it in one equation.
These are the key concepts you need to understand to accurately answer the question.
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In 2013, Curiosity landed on the surface of Mars. Does the weight of Curiosity vary if it makes its way from a valley floor to the top of a tall hill? Explain.
An airplane is flying horizontally with speed \(1000 \mathrm{~km} / \mathrm{h}\) \((280 \mathrm{~m} / \mathrm{s})\) when an engine falls off. Neglecting air resistance, assume that it takes \(30 \mathrm{~s}\) for the engine to hit the ground. (a) Show that the altitude of the airplane is \(4.4 \mathrm{~km}\). (Use \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\).) (b) Show that the horizontal distance that the airplane engine travels during its fall is \(8.4 \mathrm{~km}\). (c) If the airplane somehow continues to fly as though nothing had happened, where is the engine relative to the airplane at the moment the engine hits the ground?
A park ranger shoots a monkey hanging from a branch of a tree with a tranquilizing dart. The ranger aims directly at the monkey, not realizing that the dart will follow a parabolic path and thus will fall below the monkey. The monkey, however, sees the dart leave the gun and lets go of the branch to avoid being hit. Will the monkey be hit anyway? Does the velocity of the dart affect your answer, assuming that it is great enough to travel the horizontal distance to the tree before hitting the ground? Defend your answer.
When a satellite is above Earth's atmosphere, is it also beyond the pull of Earth's gravity? Defend your answer.
(Here's a Chapter 2-type question): When the brakes are applied on a vehicle moving to the right, the horizontal net force on the vehicle is to the left. A friend says that the velocity and acceleration of the vehicle are in opposite directions. Do you agree or disagree? Defend your answer.
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