/*! 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. 3 A mother has four times the mass... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 3 (page 227)

A mother has four times the mass of her young son. Both are running with the same kinetic energy. What is the ratio vson /vmother of their speeds?

Short Answer

Expert verified

The ratio of speed is vson /vmother = 2:1

Step by step solution

01

Given information

A mother has four times the mass of her young son.

Both are running with the same kinetic energy

02

Explanation

The kinetic energy is calculated by

KE = 1/2(mv2) .....................................(1)

Use equation (1) to calculate the kinetic energy of son and mother and find the ratio

Lets assume

Suppose K . Eson is the kinetic energy for son and

K . Emother is the kinetic energy for mother and it is given that both have same kinetic energy

K路Eson=K路Emother0.5脳Mson脳Vson=20.5脳Mmother脳Vmother2Mmother=4脳MsonVson2/Vmother2=Mmother/MsonSubstitute the given valuesVson/Vmother2=4/1Take square root both sidesVson/Vmother=2/1=2:1

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 150 g particle at x=0 is moving at 2.00 m/s in the +x-direction. As it moves, it experiences a force given by Fx=(0.250N)sin(x/2.00m). What is the particle鈥檚 speed when it reaches x=3.14 m?

A horizontal spring with spring constant 750 N/m is attached to a wall. An athlete presses against the free end of the spring, compressing it 5.0 cm. How hard is the athlete pushing?

A hydroelectric power plant uses spinning turbines to transform the kinetic energy of moving water into electric energy with 80% efficiency. That is, 80% of the kinetic energy becomes electric energy. A small hydroelectric plant at the base of a dam generates 50MW of electric power when the falling water has a speed of 18m/s. What is the water flow rate鈥攌ilograms of water per second鈥攖hrough the turbines?

FIGURE is the force-versus-position graph for a particle moving along the x-axis. Determine the work done on the particle during each of the three intervals 0鈥�1m, 1鈥�2m, and 2鈥�3m.

The motor of a crane uses power P to lift a steel beam. By what factor must the motor鈥檚 power increase to lift the beam twice as high in half the time?
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Radiation

Read Explanation

Fluids

Read Explanation

Particle Model of Matter

Read Explanation

Atoms and Radioactivity

Read Explanation

Quantum 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.