Use the image to answer the question.
An illustration shows a person running after a rabbit. The person weighs 60 kilograms, and the rabbit weighs 4 kilograms. The speed of both is 5 meters per second.
A wildlife keeper is trying to catch an escaping rabbit. Who has the greater kinetic energy, the rabbit or the wildlife keeper?
(1 point)
Responses
The rabbit because it has less mass.
The rabbit because it has less mass.
The wildlife keeper because they speed up and catch the rabbit.
The wildlife keeper because they speed up and catch the rabbit.
Neither one because they are moving at the same speed.
Neither one because they are moving at the same speed.
The wildlife keeper because they have a greater mass.
The wildlife keeper because they have a greater mass.
The rabbit because it has less mass.
To determine who has the greater kinetic energy, we can use the formula for kinetic energy (KE) which is KE = 0.5 * mass * speed^2.
Let's calculate the kinetic energy for both the rabbit and the wildlife keeper.
For the rabbit:
Mass = 4 kilograms
Speed = 5 meters per second
KE_rabbit = 0.5 * 4 kg * (5 m/s)^2 = 0.5 * 4 kg * 25 m^2/s^2 = 50 Joules
For the wildlife keeper:
Mass = 60 kilograms
Speed = 5 meters per second
KE_keeper = 0.5 * 60 kg * (5 m/s)^2 = 0.5 * 60 kg * 25 m^2/s^2 = 750 Joules
From the calculations, we can see that the wildlife keeper has a greater kinetic energy (750 Joules) compared to the rabbit (50 Joules). Therefore, the correct answer is "The wildlife keeper because they have a greater mass."