Chapter 3.1, Problem 1PPC

Interpretation Introduction

Interpretation:

The kinetic energy of a particle change if the speed is doubled while the mass is reduced by half should be calculated in the given statement by using the equation of kinetic energy.

Concept Introduction:

Energy is the ability to do work or transfer heat where work is the movement of a body using some force.  The SI unit of energy is joule ($\text{J}$).  Energy can be in the form of kinetic energy or potential energy.  Kinetic energy is the energy associated with motion.  One of the forms of kinetic energy is thermal energy.  Kinetic energy (in joule) is calculated using the formulae:

${\text{E}}_{\text{k}}=\frac{\text{1}}{\text{2}}{\text{mu}}^{\text{2}}$

Where,

$\text{m}$ ‒ mass in kilograms;

$\text{u}$ – velocity in meters per second.

Thermal energy is the internal energy of an object due to the kinetic energy of its atoms and/or molecules.  The atoms and/or molecules of a hotter object have greater kinetic energy than those of a colder one, in the form of vibrational, rotational, or, in the case of a gas, translational motion.  For example, a hot brick has a greater kinetic energy than a cold brick.

To find: Calculate the factor for the kinetic energy of a particle change if the speed is doubled while the mass is reduced by half