Question

(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?

a) 10.0 m/s
b) 0.33 m/s
c) 3.1 m/s
d) 1,000 m/s
(b) Discuss how the larger energies needed for the movement of larger animals would relate to metabolic rates.
a) Larger animals have lower metabolic rates.
b) Larger animals have higher metabolic rates.
c) Metabolic rates are unrelated to the size of animals.
d) Metabolic rates decrease linearly with size.

Answer 1

The 3000-kg elephant must move at a certain velocity to have the same kinetic energy as the 65.0-kg sprinter running at 10.0 m/s. The larger energies needed for the movement of larger animals are related to their higher metabolic rates.

Step-by-step explanation:

The kinetic energy of an object can be calculated using the equation:

Kinetic Energy (KE) = (1/2) * mass * velocity2

For the sprinter, the mass is 65.0 kg and the velocity is 10.0 m/s. Plugging these values into the equation, the kinetic energy of the sprinter can be calculated. To find the velocity at which the elephant must move to have the same kinetic energy, we rearrange the equation to solve for velocity:

velocity = sqrt((2 * KE) / mass)

By plugging in the mass of the elephant and the kinetic energy of the sprinter, you can calculate the velocity at which the 3000-kg elephant must move to have the same kinetic energy as the sprinter.

The larger energies needed for the movement of larger animals are related to their higher metabolic rates. Larger animals require more energy for their bodily functions and movement, hence they have higher metabolic rates to support their energy requirements.