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A billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. The mass of the ball is $0.38 k g$. The ball approaches the cushion with a velocity of $+2.1 \mathrm{m} / \mathrm{s}$ and rebounds with a velocity of $-2.0 \mathrm{m} / \mathrm{s}$ . The ball remains in contact with the cushion for a time of $3.3 \times 10^{-3} \mathrm{s}$ What is the average net force (magnitude and direction) exerted on the ball by the cushion?

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$-470 N$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

University of Michigan - Ann Arbor

University of Washington

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.

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we begin this question by calculating what is the average acceleration off that boat? The acceleration is equals to the variation in the velocity divided by the time that it took. Then we had a velocity off 2.1, and now we have a velocity off. Mine is true, sir. The variation in the velocity is it goes to minus truth miners True 0.1 and the time it took waas 3.3 times. Stand to the minor street and these gives us minus four. Plunge divided by 3.3 times. Stand toe the minor street meters per second squared off acceleration now to countless the net force that had bean acting the live oak. During this time interval, we can use Newton's second law, which says the following the magnitude off the net force is equal to the mass off the ball times the acceleration. Then the magnitude off the net force is equals two 0.38 times, minus 4.1, divided by three What three times stand toe the minor street and these leaves as a net force. That is the question. Minors 4.1 times zero points, 38 divided by treatment three times. Stand to the third. We had 10 to the ministry down here. So now we have 10 to retort of here. We can do that. We can send this term up here, given that we worked the sign off the exponents and this gives us approximately minus 0.47 times 10 in return, which is equals two minus 470 noodles.

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