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Physics / College Physics 1 / Chapter 7 / Problem 10

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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(a) How fast must a 3000-kg elephant move to have the same

Chapter 7, Problem 10

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QUESTION:

Problem 10PE

(a) How fast must a 3000-kg elephant move to have the same kinetic energy as a 65.0-kg sprinter running at 10.0 m/ s? (b) Discuss how the larger energies needed for the movement of larger animals would relate to metabolic rates.

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QUESTION:

Problem 10PE

(a) How fast must a 3000-kg elephant move to have the same kinetic energy as a 65.0-kg sprinter running at 10.0 m/ s? (b) Discuss how the larger energies needed for the movement of larger animals would relate to metabolic rates.

ANSWER:

Solution to 10PE

Step 1 of 4

We have to compute the velocity of the elephant so that it will have same kinetic energy as that of a sprinter who is sprinting at . We are also asked to comment on the metabolic rates of larger animals.

Given data:

Mass of the sprinter is

Velocity of the sprinter is

Mass of the elephant is

We know that the kinetic energy of an object of mass moving at a velocity of is given by,

is the kinetic energy

is the mass

is the velocity

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