/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q1E Two dogs pull horizontally on ro... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q1E (page 124)

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 60掳. If Rover exerts a force of 270 N and Fido exerts a force of 300 N, find the magnitude of the resultant force and the angle it makes with Rover鈥檚 rope.

Short Answer

Expert verified

If two dogs Rover and Fido pull their ropes attached to a post with 270 Nand 300 N forces respectively having an angle 60掳between them, the resultant force is 493.86N and makes an angle 31.74掳 with Rover's rope.

Step by step solution

01

Given data

The magnitude of the force applied by Rover is

A鈫�=270N

The magnitude of the force applied by Fido is

B鈫�=300N

The angle between the two forces is

胃=60掳

02

Vector addition

The magnitude of vector sum of two vectors A鈫� and B鈫� with an angle 胃 between them is

R=A2+B2+2ABcos胃.....1

The angle made by the resultant vector with A鈫� is

f=tan-1Bsin胃A+Bcos胃.....2

03

Sum of two forces

From equation (1), the magnitude of sum of the two forces is

R=2702+3002+2脳270脳300cos60掳N=493.86N

From equation (2), the angle made by the resultant force with Rover's rope is

蠒=tan-1300sin60掳270+300cos60掳=tan-10.619=31.74掳

Thus, the resultant force is 493.86N and makes an angle 31.74掳 with Rover's rope.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

While driving in an exotic foreign land, you see a speed limit sign that reads 180,000 furlongs per fortnight. How many miles per hour is this? (One furlong is 1/8 mile, and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.)

You decide to visit Santa Claus at the north pole to put in a good word about your splendid behavior throughout the year. While there, you notice that the elf Sneezy, when hanging from a rope, produces a tension of 395.0鈥�Nin the rope. If Sneezy hangs from a similar rope while delivering presents at the earth鈥檚 equator, what will the tension in it be? (Recall that the earth is rotating about an axis through its north and south poles.) Consult Appendix F and start with a free-body diagram of Sneezy at the equator.

(a) Write each vector in Fig. E1.39 in terms of the unit vectors i^ and j^. (b) Use unit vectors to express vector C鈫�, where C鈫�=3.00A鈫�鈭�4.00B鈫� (c) Find the magnitude and direction C鈫�.

The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2. Use 1 ft = 30.48 cm to express this acceleration in units of m/s2. (c) The density of water is 1.0 g/cm3. Convert this density to units of kg/m3.

In an experiment, a shearwater (a seabird) was taken from its nest, flown 5150 km away, and released. The bird found its way back to its nest 13.5 days after release. If we place the origin at the nest and extend the +x-axis to the release point, what was the bird鈥檚 average velocity in (a) for the return flight and (b) for the whole episode, from leaving the nest to returning?
See all solutions

Recommended explanations on Physics Textbooks

Translational Dynamics

Read Explanation

Work Energy and Power

Read Explanation

Famous Physicists

Read Explanation

Fluids

Read Explanation

Electricity and Magnetism

Read Explanation

Electrostatics

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.