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When a 58 -g tennis ball is served, it accelerates from rest to a speed of 45 $\mathrm{m} / \mathrm{s}$ . The impact with the racket gives the ball a constant acceleration over a distance of 44 $\mathrm{cm} .$ What is the magnitude of the net force acting on the ball?

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$130\mathrm{N}$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

Rutgers, The State University of New Jersey

Hope College

University of Winnipeg

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.

01:52

When a 58-g tennis ball is…

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03:52

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02:27

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$\bullet$ Tennis, anyone? …

A tennis ball of mass $0.0…

00:59

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06:08

to stop this question, we begin by discovering what is the acceleration off the ball for that we can use to Richard's equation, which tells us that the final velocity squared is acquitted. Initial velocity squared, plus two times the acceleration times the displacement. Let me trees my reference frame as being this X axis, pointing to the right. Then it goes as follows. The final velocity is 45 the initial velocity zero. They only have two times the acceleration times 44 centimeters. So we have to convert these two meters. These amounts to multiplying by 10 to the minus truth 44 centimeters is the same as 44 times. Stand to the miners truth meters. Then we have to solve this equation for the acceleration and it goes as follows. 45 squared is the course of two times 44 times 10 to the minus two times eight. Then a is equals to 45 squared, divided by true times 44 times down in the minors. Truth A is then equals to 45 squared, divided by 88 times down to the minors truth and then the acceleration is 45 squared, divided by 0.88 So now we can discover what is the magnitude off the net force that is acting on the bolt. For that, we have to use Newton's second law. The magnitude off the net forest acting on the boat is given by the mass off the ball times its acceleration. Then the mask off the boat is 58 grams share. You have to covertly two kilograms, and for that we multiply by 10 to the minus street, and then we multiply it by the acceleration, which is 45 squared, divided by 0.88 And these results in the net force off approximately 130 new tones. So this is the answer for this question.

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