Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

A woman stands on a scale in a moving elevator. Her mass is 60.0 kg, and the combined mass of the elevator and scale is an additional 815 kg. Starting from rest, the elevator accelerates upward. During the acceleration, the hoisting cable applies a force of 9410 N. What does the scale read during the acceleration?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

645 $\mathrm{N}$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Simon Fraser University

University of Sheffield

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.

03:25

A woman stands on & sc…

03:34

A woman stands on a scale …

02:04

A girl of mass $50.0 \math…

01:43

A $75-\mathrm{kg}$ man sta…

02:08

While an elevator of mass …

01:58

An elevator cabin has a ma…

06:05

Apparent Weight. A $550 \m…

03:17

A 550-N physics student st…

01:15

A 2010 -kg elevator moves …

02:05

The elevator in a hotel ha…

01:36

An elevator is moving down…

09:36

A 75.0-kg person stands on…

what the scale reads is these normal force. So the normal forest acting from the woman. Then we have to apply the Newtown second low Toe that woman. Newton's second law tells us that the net force acting on the woman is equals to her mass times. Her acceleration. Let me choose my refereeing show as being such that everything that is pointing up is positive, and everything that is pointing now is negative. Then the net force that is acting on the woman is given by the normal force minors. The weight off that woman. And these is, of course, to the math off the woman times her acceleration, the reform, the reading off the scale is equals to the mass off the woman times. That's relation, plus the weight off the woman. Therefore, the normal force is it goes to 60 times her acceleration plus her weight, which is equals to 60 times acceleration of gravity, which is approximately 9.8 meters per second squared. So the old information that is missing is the acceleration, and how can we calculate acceleration will note that acceleration off the woman is the coast to the acceleration off the elevator So all we have to do is calculate acceleration off the elevator. And how can we do that? We can do it by applying Newton's second law to the elevator. Newton's second law tells us that the Net force acting on the elevator is it close to its mass times acceleration. But don't be fooled by these one. The mass off the elevator is composed of my the mass of the elevator itself, the mass off the scale and the mass off the woman. So the mass we have here is the mass off the woman, plus the mass off the elevator and the scale at times. Next, relation off that them. The Net force that is acting on the elevator is not equals Onley to this weight force, but because these weight force plus the weight off the woman because she's inside elevator so we have that attention is the miners. The weight off the elevator, minus the weight off the woman, is because the combined mass off the world system, which is 60 plus 850 so 875 times acceleration off the system, attention force is equals to 94 10 the weight off the elevator is it goes to the Mass off the elevator. 850 times acceleration off gravity 9.8. The weight off the woman Is it close to her mass. 60 kilograms times acceleration of gravity. 9.8 and there's wolfing is equals to 875 times. Next generation of the system therefore acceleration off the system is equals to 9410 miners 850 times 9.8 miners 60 times 9.8 divided by 875. And this gives us an acceleration off approximately 0.954 meters per second. Squared them. We can go back to the other circulation and finish loading the question. So what? The scale well read is the following 60 times 0.954 plus 60 times 9.8 and this gives us approximately 645 mutants.

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:56

22 2017 Mr2) (8 pts) Eris is one of the Planet, like Pluto. most Eris di…

01:18

3. The figure shows two disks, A and B , cemented together, that are rotatin…

02:43

Consider a steam power plant that operates on the regenerative Rankine cycle…

02:23

The figure shows two disks; and B, cemented together; that are rotating with…

02:54

bicycle is turned upside down while its owner repairs a flat tire on the rea…

01:12

;12-kg crate is pushed up an incline from point A to point Bas shown in the …

01:44

Geosynchronous satellites orbit the Earth at a distance of 42,000 km from th…

1 _ You can calculate the acceleration due to gravity at the surface of a pl…

02:09

Thirteen resistors are connected across points and B as shown in the figure:…

03:53

curnS15 ptthc the9 D 2 2(hiwc3Op6) A straight conductor carr…