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 v_son /v_mother of their speeds?

Short Answer

Expert verified

The ratio isv_son /v_{mother =} 2:1

Step by step solution

Given information

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

Both are running with the same kinetic energy

Explanation

The kinetic energy is calculated by $K . E = 0.5 \times m \times V^{2} . . . . . . . . . . . . . . . . . . . . (1)$

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

Lets assume

Suppose K . E_son is the kinetic energy for son and

K . E_mother s the kinetic energy for mother and it is given that both have same kinetic energy so,

$K \cdot E_{s o n} = K \cdot E_{m o t h e r} 0.5 \times M_{son} \times V_{son} {}^{2}= 0.5 \times M_{mother} \times V_{mother}^{2}$

$M_{mother} = 4 \times M_{son} (V_{son} {}^{2}/ {V_{mother}}^{2}) = M_{mother} / M_{son}$

Substitute the given values

${(V_{son} / V_{mother})}^{2} = 4 / 1 T a k e s q u a r e r o o t b o t h s i d e s (V_{son} / V_{mother}) = 2 / 1 = 2 : 1$

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

Short Answer

Step by step solution

Given information

Explanation

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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

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

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