Download the App!

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

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

A husband and wife take turns pulling their child in a wagon along a horizontal sidewalk. Each exerts a constant force and pulls the wagon through the same displacement. They do the same amount of work, but the husband's pulling force is directed $58^{\circ}$ above the horizontal, and the wife's pulling force is directed $38^{\circ}$ above the horizontal. The husband pulls with a force whose magnitude is 67 N. What is the magnitude of the pulling force exerted by his wife?

45$N$

Physics 101 Mechanics

Chapter 6

Work and Energy

Work

Kinetic Energy

Cornell University

University of Michigan - Ann Arbor

Simon Fraser University

Lectures

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

02:08

In physics, work is the transfer of energy by a force acting through a distance. The "work" of a force F on an object that it pushes is defined as the product of the force and the distance through which it moves the object. For example, if a force of 10 newtons (N) acts through a distance of 2 meters (m), then doing 10 joules (J) of work on that object requires exerting a force of 10 N for 2 m. Work is a scalar quantity, meaning that it can be described by a single number-for example, if a force of 3 newtons acts through a distance of 2 meters, then the work done is 6 joules. Work is due to a force acting on a point that is stationary-that is, a point where the force is applied does not move. By Newton's third law, the force of the reaction is equal and opposite to the force of the action, so the point where the force is applied does work on the person applying the force. In the example above, the force of the person pushing the block is 3 N. The force of the block on the person is also 3 N. The difference between the two forces is the work done on the block by the person, which can be calculated as the force of the block times the distance through which it moves, or 3 N × 2 m = 6 J.

00:37

Two horizontal forces act …

02:31

Having hauled it to the to…

01:39

If a child pulls a sled th…

02:15

00:38

$$\begin{array}{l}{\text {…

02:24

(II) A child is pulling a …

03:23

Two ropes are tied to a wa…

01:29

A small car (mass 380 $\ma…

00:51

A small car of mass 380 kg…

worked on by a force is equal to F s Co sign of Thera. Since we have the husband and the wife doing the work. So let's just say that work one is equal to work too. And that would be F one s one co signed data One is equal to F two s too. Course, sign off there, too. Well s one. And as to our equal, because it says that they pull the wagon through the same displacement. So now we just have F one coastline. Terra one equals after co sign off. There are two. So let's put in the information for the husband. We know that the force is, uh, 67 the angle is 58 decrease. And we're trying to figure out the force that the wife exerts, given that the angle is 38 degrees. So when you solve this equation for F two, you would get after his equal to 45 minutes

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:18

@ Suppose a tank contains 680 $\mathrm{m}^{3}$ of neon (Ne) at an absolute p…

01:52

Review Example $14,$ in which the work done in drawing the bow- string in Fi…

04:17

A dragster starts from rest and accelerates down a track. Each tire has a ra…

01:32

Review Conceptual Example 14 before attempting this problem.The truck in tha…

03:18

Heat is added isothermally to 2.5 mol of a monatomic ideal gas. The temperat…

02:17

A gymnast does a one-arm handstand. The humerus, which is the upper arm bone…

04:51

Two bicyclists, starting at the same place, are riding toward the sameca…

The surfer in the photo is catching a wave. Suppose she starts at the top of…

05:55

Three moles of a monatomic ideal gas are heated at a constant volume of 1.50…

02:52

A Carnot engine operates between temperatures of 650 and 350 $\mathrm{K}$ . …