a 75-kilogram bicylcist coasts down a hill at a constant speed of 12 meters per second. what is the kinetic energyof the bicyclist?
Ek=0.5m*V^2 = 0.5*75*12^2 = 5400 Joules.
To calculate the kinetic energy of the bicyclist, you can use the formula:
Kinetic energy = 0.5 * mass * velocity^2
Given:
Mass of the bicyclist (m) = 75 kilograms
Speed of the bicyclist (v) = 12 meters per second
Substituting the values into the formula, we get:
Kinetic energy = 0.5 * 75 kg * (12 m/s)^2
To solve this, we need to perform the calculations step by step:
Step 1: Calculate the square of the velocity
= 12 m/s * 12 m/s
= 144 m^2/s^2
Step 2: Multiply the square of the velocity by half of the mass
= 0.5 * 75 kg * 144 m^2/s^2
Step 3: Perform the multiplication
= 5400 kg * m^2/s^2
Therefore, the kinetic energy of the bicyclist is 5400 kilogram meters squared per second squared (kg * m^2/s^2).