Which of the following has a higher kinetic energy?
A 1000 kg car rolling at a speed of 5 m/s across the floor or a 1500 kg hippo swimming at a speed of 2 m/s
a
not enough information to determine
b
the car
c
their kinetic energies are equal
d
the hippo
The answer is (d) the hippo.
Kinetic energy is calculated using the formula KE = 1/2mv^2, where m is the mass of the object and v is its velocity.
Plugging in the values for the car:
KE = 1/2 * 1000 kg * (5 m/s)^2 = 12,500 J
Plugging in the values for the hippo:
KE = 1/2 * 1500 kg * (2 m/s)^2 = 3000 J
Therefore, the hippo has a lower mass but is traveling at a higher velocity, resulting in a higher kinetic energy than the car.
To determine which object has a higher kinetic energy, we can use the equation for kinetic energy:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
Given the following information:
Car:
Mass = 1000 kg
Velocity = 5 m/s
Hippo:
Mass = 1500 kg
Velocity = 2 m/s
We can calculate the kinetic energy for both the car and the hippo:
Car:
KE = (1/2) * 1000 kg * (5 m/s)^2
Hippo:
KE = (1/2) * 1500 kg * (2 m/s)^2
Now, let's calculate the values:
Car:
KE = (1/2) * 1000 kg * (5 m/s)^2 = 12,500 Joules
Hippo:
KE = (1/2) * 1500 kg * (2 m/s)^2 = 6,000 Joules
Comparing the values, we see that the car has a higher kinetic energy of 12,500 Joules, while the hippo has a kinetic energy of 6,000 Joules.
Therefore, the car has a higher kinetic energy. The correct answer is option (b) the car.
To determine which object has a higher kinetic energy, we need to use the formula for kinetic energy:
Kinetic energy (E) = 1/2 * mass (m) * velocity (v)^2
Let's calculate the kinetic energy for both the car and the hippo.
For the car:
Mass (m) = 1000 kg
Velocity (v) = 5 m/s
Plugging these values into the kinetic energy formula:
E (car) = 1/2 * 1000 kg * (5 m/s)^2
= 1/2 * 1000 kg * 25 m^2/s^2
= 12500 kg * m^2/s^2
For the hippo:
Mass (m) = 1500 kg
Velocity (v) = 2 m/s
Plugging these values into the kinetic energy formula:
E (hippo) = 1/2 * 1500 kg * (2 m/s)^2
= 1/2 * 1500 kg * 4 m^2/s^2
= 3000 kg * m^2/s^2
Comparing the results, we find that the car has a higher kinetic energy of 12500 kg * m^2/s^2, while the hippo has a kinetic energy of 3000 kg * m^2/s^2.
Therefore, the correct answer is (b) the car has a higher kinetic energy.