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A speedy basketball point guard is 5 ft 10 inches tall; the center on the same team is 7 ft 2 inches tall. Assuming their bodies are similarly proportioned, if the point guard weighs 175 lb, what would you expect the center to weigh?

215 $\mathrm{lb}$

Physics 101 Mechanics

Chapter 2

Motion along a Straight Line

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Rutgers, The State University of New Jersey

Simon Fraser University

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.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

02:17

On an NBA team the two for…

02:33

On an $\mathrm{NBA}$ team …

02:55

The center on your school’…

05:06

The center on your school&…

00:33

Players in the National Ba…

00:16

A person's weight is …

01:44

The relationship between a…

00:17

01:19

A basketball team consists…

03:10

So we have two basketball players were trying too. We have the height of the first basketball player. This going to be five feet 10 inches. We know that there are 12 inches in every foot. Therefore, this equals 70 inches for the second ball. Basque second basketball player The height is seven feet two inches. Excuse me, 12 12 inches for every foot. Therefore, this equals 86 inches. Now we also know that the mass brother we can speak and say that the wait of the first possible player equals 175 pounds. And because thes two best players are similarly proportioned, they have those same body fat percentage. We can say that they're that cities are equal to another. So we can say that the ah essentially wait is specific. Tio the Earth, the thie gravity, gravity on earth and density is specifically a mass divided by volume. But here again, there similarly proportioned. And of course, both of them are on earth. So we consent. We can simplify and say simply that the weight of one that's ballplayer divided by the height of one basketball player cubed will be equal to the weight of the second divided by the height of the second. Cute as long as the height is in the same units, we can make this calculation and say that the weight of the second ball player will be equal to the weight of the first times, the height of the second divided by the height of the first. Cute. And so we can say 175 time's here it will be 86 divided by 70 cubed. And we're getting that. The weight of these second bath ball player is going to be equal to approximately 325 pounds. That is the end of the solution. Thank you for watching.

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