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A raindrop has a mass of $5.2 \times 10^{-7} \mathrm{kg}$ and is falling near the surface of the earth. Calculate the magnitude of the gravitational force exerted (a) on the raindrop by the earth and (b) on the earth by the raindrop.

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$5.1 \times 10^{-6} N$$5.1 \times 10^{-6} N$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Hope College

University of Winnipeg

McMaster University

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

02:49

A raindrop has a mass of 6…

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the magnitude of the reputational force exerted on the ring drop by the earth is given by the following equation. The gravitational force Is it close to the Newton's constant times The mass off the raindrop times the mass off the earth divided by the distance between the center off the earth on the raindrop squared. Now note the following the radio's off the earth is way bigger than the distance between the raindrop on the surface off the earth. So we say that the distance between the raindrop on the surface off the earth in the situation is negligible, so we do not need to include it in the situation. Then, by substituting your values that were given by the problem, we get the following the gravitational force he's given by 6.6 to 7 find Stand to minus 11 times 5.2 times. Stand to the mind of seven times 5.98 times Stan to 24 and his wolfing is divided by the radios off the earth off 6.38 time Stand to the sixth squared. This gives us a gravitational force with a magnitude off approximately 5.1 time stand to the minus six new terms. Now, for the second item, we have to complete What is the magnitude off the reputation off horse exerted only Earth Bailey, mask off the raindrop Note that the magnitude off this force would also be given by these equations. Sure, these two forces have the same night attitude. The only thing that changes is the direction they're pointing. So the raindrop, uh, pull the earth towards it and the earth pull the raindrop towards it. But if the same magnitude therefore, the magnitude off the gravitational force exerted on Earth by the raindrop is it goes to the magnitude off the gravitational force exerted on the rain drop by the earth, which is what we had just calculated through. Let me right this super screams for clarity. And this is approximately 5.1 time stand to the minus six Newton's. So it's not necessary to do the population again, as the only difference between this forces is their direction.

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