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Chapter 9: 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 isvson /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 K.E=0.5脳m脳V2....................(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 s the kinetic energy for mother and it is given that both have same kinetic energy so,

K路Eson=K路Emother0.5脳Mson脳Vson=20.5脳Mmother脳Vmother2

Mmother=4脳MsonVson/2Vmother2=Mmother/Mson

Substitute the given values

Vson/Vmother2=4/1TakesquarerootbothsidesVson/Vmother=2/1=2:1

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