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?
The formula to calculate kinetic energy is:
Kinetic Energy = 0.5 * mass * velocity^2
Given:
mass = 56 kilograms
velocity = 11 meters per second
Substituting the given values into the formula:
Kinetic Energy = 0.5 * 56 kg * (11)^2 m/s
Kinetic Energy = 0.5 * 56 kg * 121 m^2/s^2
Kinetic Energy = 0.5 * 56 kg * 121 m^2/s^2
Kinetic Energy = 0.5 * 6776 kg m^2/s^2
Kinetic Energy = 3388 kg m^2/s^2
Therefore, her kinetic energy is 3388 kg m^2/s^2.
To calculate kinetic energy, you will need the formula:
Kinetic Energy = (1/2) * mass * velocity^2
Given information:
Mass (m) = 56 kilograms
Velocity (v) = 11 meters per second
Step 1: Square the velocity
Calculate the square of the velocity: 11^2 = 121
Step 2: Calculate the kinetic energy
Using the formula, we have:
Kinetic Energy = (1/2) * 56 * 121
Step 3: Simplify the equation
Multiply 56 by 121: 56 * 121 = 6776
Step 4: Divide the result by 2
Divide 6776 by 2: 6776 / 2 = 3388
Her kinetic energy is 3388 joules.
To calculate the kinetic energy of the student riding her bicycle, we can use the formula:
Kinetic Energy = (1/2) * mass * velocity^2
First, we need to determine the mass of the student and the bicycle combined. It is given in the question as 56 kilograms.
Next, we need to determine the velocity. The question states that she is moving at 11 meters per second.
Now, we can substitute the values into the formula:
Kinetic Energy = (1/2) * 56 kg * (11 m/s)^2
Simplifying the equation, we get:
Kinetic Energy = (1/2) * 56 kg * 121 m^2/s^2
Kinetic Energy = 3388 kg * m^2/s^2
The unit of kinetic energy is Joules (J), which is equal to kg * m^2/s^2. Therefore, the kinetic energy of the student riding her bicycle down the hill is 3388 Joules.