Chapter 6, Problem 6.105QP

Interpretation Introduction

Interpretation:

The fastest serve in tennis is about $150mph$. If the kinetic energy of a tennis ball travelling at this speed is transferred as heat to $1.0mL$ of water, then the increase in its temperature has to be given.

Concept Introduction:

Specific heat:

Specific heat can be defined as quantity of heat required to raise the temperature of $\text{1}\text{g}$ substance by $\text{1°C}$.  The relationship between heat and change in temperature can be expressed by the equation given below.

$\text{q}=\text{cmΔT}$

Where $\text{q=}$ Heat added

c= Specific heat

$\text{m=}$ Mass

$\text{ΔT=}$ Change in temperature.

Kinetic energy of a substance can be using the below mentioned formula,

$KE=\frac{1}{2}m{v}^2$ ; Where m is the mass of the substance, v is the velocity