Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Problem 3

Hilda holds a gardening book of weight \(10 \mathrm{N}\) at a height of $1.0 \mathrm{m}\( above her patio for \)50 \mathrm{s}$. How much work does she do on the book during that 50 s?

Short Answer

Expert verified
Answer: Hilda does 0 J (joules) of work on the book during the 50 seconds.

Step by step solution

01

Identify the force and displacement of the book.

Hilda is holding the book steady, so the force she is applying on the book is equal to the weight of the book which is 10 N. Since the book is not displaced, the displacement is 0 m.
02

Calculate the work done by Hilda on the book.

The formula to calculate the work done is: \(W = F \cdot d \cdot \cos(\theta)\) where \(W\) is the work done, \(F\) is the force applied on the object, \(d\) is the displacement, and \(\theta\) is the angle between the force and the direction of displacement. In our case, \(F = 10\,\text{N}\), \(d = 0\,\text{m}\), and the force is applied in the same direction as the displacement, so \(\theta = 0^\circ\). However, there's no need to calculate the cosine of the angle, as the displacement is 0 m, so the work done by Hilda is: \(W = F \cdot d = 10\,\text{N} \cdot 0\,\text{m} = 0\,\text{J}\) So, Hilda does 0 J (joules) of work on the book during the 50 s.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Two springs with spring constants \(k_{1}\) and \(k_{2}\) are connected in parallel. (a) What is the effective spring constant of the combination? (b) If a hanging object attached to the combination is displaced by \(2.0 \mathrm{cm}\) from the relaxed position, what is the potential energy stored in the spring for \(k_{1}=5.0 \mathrm{N} / \mathrm{cm}\) and $k_{2}=3.0 \mathrm{N} / \mathrm{cm} ?$ [See Problem \(83(\mathrm{b}) .]\)
The orbit of Halley's comet around the Sun is a long thin ellipse. At its aphelion (point farthest from the Sun), the comet is $5.3 \times 10^{12} \mathrm{m}\( from the Sun and moves with a speed of \)10.0 \mathrm{km} / \mathrm{s} .$ What is the comet's speed at its perihelion (closest approach to the Sun) where its distance from the Sun is \(8.9 \times 10^{10} \mathrm{m} ?\)
A wind turbine converts some of the kinetic energy of the wind into electric energy. Suppose that the blades of a small wind turbine have length $L=4.0 \mathrm{m}$ (a) When a \(10 \mathrm{m} / \mathrm{s}(22 \mathrm{mi} / \mathrm{h})\) wind blows head-on, what volume of air (in \(\mathrm{m}^{3}\) ) passes through the circular area swept out by the blades in \(1.0 \mathrm{s} ?\) (b) What is the mass of this much air? Each cubic meter of air has a mass of 1.2 \(\mathrm{kg}\). (c) What is the translational kinetic energy of this mass of air? (d) If the turbine can convert \(40 \%\) of this kinetic energy into electric energy, what is its electric power output? (e) What happens to the power output if the wind speed decreases to \(\frac{1}{2}\) of its initial value? What can you conclude about electric power production by wind turbines?
In \(1899,\) Charles \(\mathrm{M}\). "Mile a Minute" Murphy set a record for speed on a bicycle by pedaling for a mile at an average of $62.3 \mathrm{mph}(27.8 \mathrm{m} / \mathrm{s})$ on a 3 -mi track of plywood planks set over railroad ties in the draft of a Long Island Railroad train. In \(1985,\) a record was set for this type of "motor pacing" by Olympic cyclist John Howard who raced at 152.2 mph \((68.04 \mathrm{m} / \mathrm{s})\) in the wake of a race car at Bonneville Salt Flats. The race car had a modified tail assembly designed to reduce the air drag on the cyclist. What was the kinetic energy of the bicycle plus rider in each of these feats? Assume that the mass of bicycle plus rider is \(70.5 \mathrm{kg}\) in each case.
Jane is running from the ivory hunters in the jungle. Cheetah throws a 7.0 -m-long vine toward her. Jane leaps onto the vine with a speed of $4.0 \mathrm{m} / \mathrm{s} .$ When she catches the vine, it makes an angle of \(20^{\circ}\) with respect to the vertical. (a) When Jane is at her lowest point, she has moved downward a distance \(h\) from the height where she originally caught the vine. Show that \(h\) is given by \(h=L-L \cos 20^{\circ},\) where \(L\) is the length of the vine. (b) How fast is Jane moving when she is at the lowest point in her swing? (c) How high can Jane swing above the lowest point in her swing?
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Rotational Dynamics

Read Explanation

Thermodynamics

Read Explanation

Electromagnetism

Read Explanation

Measurements

Read Explanation

Solid State Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free