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ssm A $55-\mathrm{kg}$ bungee jumper has fallen far enough that her bungee cord is beginning to stretch and resist her downward motion. Find the force (magnitude and direction) exerted on her by the bungee cord at an instant when her downward acceleration has a magnitude of 7.6 $\mathrm{m} / \mathrm{s}^{2}$ Ignore the effects of air resistance.

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120 $\mathrm{N}$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Hope College

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.

01:27

A $55-\mathrm{kg}$ bungee…

01:51

A 55-kg bungee jumper has …

08:20

(1I) A 55 -kg bungee jumpe…

03:12

(II) A 62 -kg bungee jumpe…

06:28

A bungee jumper with mass …

04:17

01:53

Bungee Jumper A high-altit…

04:15

$\bullet$$\bullet$ You…

04:06

A parachutist relies on ai…

03:17

01:56

The bungee jumper, an 80 -…

01:35

You've attached a bun…

10:51

A 65.0 -kg bungee jumper s…

To solve this question, you have to use Newton's second law, and for that I would choose the following reference frame a vertical axis which I will call the Y axis. Then Newton's second law tells us that the net force that acts on the Y direction is it goes to the mass times the acceleration off the baggy jumper. But the problem tells us that the acceleration off the bank jumper is 7.6 meters per second squared downwards. So we have to include a minus sign here because off the acceleration pointing to the negative direction off our Y axis, then noticed that the net force in that direction is composed by true forces. The tension force that points to the positive direction mine is the wait for step points in the negative direction. Then the tension forced is equal to the weight force minus the mass off the bungee jumper times its acceleration the weight forces given by the mass times acceleration of gravity then detention force is given by the mass times acceleration of gravity minus the mass times acceleration and finally, detention force can be read in us M times G minus eight notice that the mass of the banking jumper According to the problem, it's 55 kilograms. Then the tension is given by 55 times, 9.8 minus 7.6 and these is 55 times 2.2 and these results in attention off approximately 120 noodles.

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