A student rides her bicycle down a hill. Together, she and the bicycle have a mass of 56 kilograms. She is moving at 11 meters per second. What is her kinetic energy?
To calculate the kinetic energy, you can use the following formula:
Kinetic energy (KE) = 1/2 * mass * velocity^2
Given:
Mass (m) = 56 kg
Velocity (v) = 11 m/s
Now, let's substitute these values into the formula:
KE = 1/2 * 56 kg * (11 m/s)^2
Calculating the velocity squared:
KE = 1/2 * 56 kg * 121 m^2/s^2
Multiplying the mass by the velocity squared:
KE = 1/2 * 56 kg * 121 m^2/s^2
Simplifying the equation:
KE = 1/2 * 56 kg * 121 m^2/s^2
Divide the mass by 2:
KE = 28 kg * 121 m^2/s^2
Now multiply 28 kg by 121 m^2/s^2:
KE = 3388 kg m^2/s^2
The kinetic energy is 3388 kg m^2/s^2.
To find the kinetic energy of the student riding her bicycle down the hill, we can use the formula:
Kinetic Energy = (1/2) * mass * (velocity)^2
Given:
mass = 56 kilograms
velocity = 11 meters per second
Substituting these values into the formula, we get:
Kinetic Energy = (1/2) * 56 kg * (11 m/s)^2
Now, let's calculate the value:
Kinetic Energy = (1/2) * 56 * 121 = 3028 Joules
Therefore, her kinetic energy is 3028 Joules.