Concept explainers
(a) If the kinetic energy of a particle is tripled, by what factor has its speed increased? (b) If the speed of a particle is halved, by what factor does its kinetic energy change?
a)The amount of speed increased if the kinetic energy of a particle is tripled.
(b) The amount of change in kinetic energy if the speed of a particle is halved.
Answer to Problem 16P
Solution:a) The final speed becomes
b) When speed is halved the final kinetic energy is quarter of the initial kinetic energy.
Explanation of Solution
Given:a) The kinetic energy of a particle is tripled
b) The speed of a particle is halved
Formula Used:
The kinetic energy of a moving particle is obtained by
m is the mass of the particle
v is the velocity of the particle
Calculation:
a) When the kinetic energy of a particle is tripled:
Initial velocity be
When kinetic energy of a particle is tripled put
The ratio of final to initial speed is
Therefore, the final speed becomes
b) When the speed of a particle is halved
When its speed is halved
When speed is halved the final kinetic energy is quarter of the initial kinetic energy.
Conclusion:a) The final speed becomes
b) When speed is halved the final kinetic energy is quarter of the initial kinetic energy.
Chapter 6 Solutions
Physics: Principles with Applications
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