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A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the Earth. An identical block is at rest on a frictionless, horizontal table placed on the surface of the Moon. Let F be the net force necessary to give the Earth-bound block an acceleration of a across the table. Given that g$_{Moon}$ is one-sixth of g$_{Earth}$, the force necessary to give the Moon-bound block the same acceleration a across the table is(A) F/6(B) F/3(C) F(D) 6F

C) F

Physics 101 Mechanics

Chapter 4

Newton’s Laws

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

Rutgers, The State University of New Jersey

University of Washington

Hope College

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in this problem. We have a block on a frictionless horizontal table and we want to know how much force we need to apply on the earth and on the moon to get our block to the same acceleration. So the key comes up here. Is that because there is no friction and it is cheerily horizontal motion. Gravity has no effect. So it will move exactly the same on the Earth and the moon, since friction does involve the force of gravity. But in our our case here, So we have our table with our block of mass and and we're applying some force to it. And so it's going to be moving, uh, in purely in the horizontal direction with acceleration a So on earth, the emotion is just going to look like yeah, according to F equals m A. And on the moon, we will have the same situation. Uh, people's m a. So gravity will not enter into this determination. When we have this motion that's purely horizontal. So gravity is acting in a purely vertical direction so orthogonal to this direction. So our force on the earth and the moon is the same. All right, so out of our answer choices, we will choose See f to have the same force to produce the same acceleration on the earth and the movement.

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