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A parachutist relies on air resistance (mainly on her parachute) to decrease her downward velocity. She and her parachute have a mass of 55.0 $\mathrm{kg}$ , and at a particular moment air resistance exerts a total upward force of 620 $\mathrm{N}$ on her and her parachute. (a) What is the weight of the parachutist? $(\mathrm{b})$ Draw a free-body diagram for the parachutist (see Section $4.6 ) .$ Use that diagram to calculate the net force on the parachutist. Is the net force upward or downward? (c) What is the acceleration (magnitude and direction) of the parachutist?

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Physics 101 Mechanics

Chapter 4

Newton's Laws of Motion

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Rutgers, The State University of New Jersey

University of Washington

Hope College

University of Sheffield

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.

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All right. So we have this parachutist and the parachute is I'm falling through the air and you find something about this. First, you need the weight of the parachutists. This is pretty easy to do. The weight is equal to 55 times 9.8, which is equal to 539 Newton's. All right, that's a never be You'll do free by diagram to use repair shooters. The forces on the pressures are the force of graph of weight, which is just the gravity's force mint body. And then there's the air resistance. So the force, the net force is equal to 620 up, minus 539 down, which is 61 81. All right, so well, this is C support a r B, part C party heart D was the acceleration. Well, if the net result is 81 Newtons divided by the mass Well, you just acceleration. So this is 81 Newtons. Divided by the mass was was, I believe, 55 kilograms, a wonderful drawing which is equal to 1.47 to lump of seven meters for seconds squared. And that means that the What is that? So what is the direction? So the magnitude I think you want to know the magnitude of exploration, that's the magnitude and it is positive was going in a upward direction and we're done.

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