/*! 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} Q14 P A group of particles of total ma... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q14 P (page 377)

A group of particles of total mass 35kg has a total kinetic energy of 340J. The kinetic energy relative to the center of mass is 85J. What is the speed of the center of mass?

Short Answer

Expert verified

The speed of the center of mass is 4.93m/s

Step by step solution

01

Identification of the given data

  • The total mass is m=35kg
  • Total kinetic energy is KT=340J
  • Kinetic energy relative to the center of mass is K=85J
02

Concept of the center of mass of the system

The center of mass of the system is calculated by considering the placement of the of all the objects acting in the system.

03

Determination of the speed of the center of mass

According to the conservation of energy principle,

KT+K=E

Where,

KT= Total kinetic energy

K = Kinetic energy relative to the center of mass

Potential Energy, role="math" localid="1654753134200" E=12mvc2

Substitute Equation (2) in (1),

KT+K=12mvc2vc2=2路KT+Km=2路340+8535vc2=24.29vc=4.93m/s

Hence, the speed of the center of mass is role="math" localid="1654753153104" 4.93m/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

A uniform-density sphere whose mass is 10kgand radius is 0.4mmakes one complete rotation every0.2s. What is the rotational kinetic energy of the sphere?

A runner whose mass is 50 kgaccelerates from a stop to a speed of10 m / s in 3 s. (A good sprinter can run100 m in about 10 s, with an average speed of 10 m / s.) (a) What is the average horizontal component of the force that the ground exerts on the runner鈥檚 shoes? (b) How much displacement is there of the force that acts on the sole of the runner鈥檚 shoes, assuming that there is no slipping? Therefore, how much work is done on the extended system (the runner) by the force you calculated in the previous exercise? How much work is done on the point particle system by this force? (c) The kinetic energy of the runner increases鈥攚hat kind of energy decreases? By how much?

Consider the acceleration of a car on dry pavement, if there is no slipping. The axle moves at speed v, and the outside of the tire moves at a speed relative to the axle. The instantaneous velocity of the bottom of the tire is zero. How much work is done by the force exerted on the tire by the road? What is the source of the energy that increases the car鈥檚 translational kinetic energy?

A solid uniform-density sphere is tied to a rope and moves in a circle with speed v. The distance from the center of the circle to the center of the sphere is d, the mass of the sphere is M, and the radius of the sphere is R. (a) What is the angular speed 蝇? (b) What is the rotational kinetic energy of the sphere? (c) What is the total kinetic energy of the sphere?

A sphere of uniform density with mass 22 kg and radius 0.7 m is spinning, making one complete revolution every 0.5 s. The center of mass of the sphere has a speed of4 m?s(a) What is the rotational kinetic energy Of the sphere? (b) What is the total kinetic energy of the sphere?
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Radiation

Read Explanation

Electrostatics

Read Explanation

Translational Dynamics

Read Explanation

Particle Model of Matter

Read Explanation

Further Mechanics and Thermal 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.