/*! 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} Q.46 A long, 1.0聽kg聽rope hangs from... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q.46 (page 180)

A long, 1.0kgrope hangs from a support that breaks, causing the rope to fall, if the pull exceeds 40N. A student team has built a 2.0kgrobot 鈥渕ouse鈥� that runs up and down the rope. What maximum acceleration can the robot have鈥攂oth magnitude and direction鈥攚ithout the rope falling?

Short Answer

Expert verified

The maximum acceleration can the robot have is about19.62m/s

Step by step solution

01

Given information and assumptions

mass of the rope 1.0kg

mass of the robot m=2.0kg

Tension of the ropeT=40N

Let us consider the Free Body Diagram (FBD) for the robot to move up and down in the rope.

Weight of the robot be w鈬赌=mg

Tension of the rope beT鈬赌

02

Explanation

To calculate acceleration of robot to move downward

From FBD, following Newton's third law, the Fnet鈬赌=0

role="math" localid="1649705336120" T鈬赌=-w鈬赌mropea=-mga=-mgmropea=-2脳9.811=-19.62m2/s

By symmetry, the acceleration of robot to move upward is19.62m2/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.

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

Block Ain FIGUREEX7.4is heavier than block Band is sliding down the incline. All surfaces have friction. The rope is massless, and the massless pulley turns on frictionless bearings. The rope and the pulley are among the interacting objects, but you鈥檒l have to decide if they鈥檙e part of the system.

a. How much force does an 80kgastronaut exert on his chair while sitting at rest on the launch pad?

b. How much force does the astronaut exert on his chair while accelerating straight up at 10m/s2?

FIGURE P7.26shows two strong magnets on opposite sides of a small table. The long-range attractive force between the magnets keeps the lower magnet in place.

a. Draw an interaction diagram and draw free-body diagrams for both magnets and the table. Use dashed lines to connect the members of an action/reaction pair.

b. The lower magnet is being pulled upward against the bottom of the table. Suppose that each magnet鈥檚 weight is 2.0Nand that the magnetic force of the lower magnet on the upper magnet is 6.0N. How hard does the lower magnet push against the table?

Blocks A and B in the figure are connected by a massless string over a massless, frictionless pulley. The blocks have just been released from rest. Will the pulley rotate clockwise, counterclockwise, or not at all? Explain.

The coefficient of kinetic friction between the 2.0kgblock in FIGURE P7.38 and the table is 0.30. What is the acceleration of the 2.0kg block?
See all solutions

Recommended explanations on Physics Textbooks

Physics of Motion

Read Explanation

Electromagnetism

Read Explanation

Quantum Physics

Read Explanation

Fundamentals of Physics

Read Explanation

Work Energy and Power

Read Explanation

Turning Points in 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.