The Kinetic Energy of a Bike Rider Approaching a Hill
Calculation of Kinetic Energy
A bike rider approaches a hill with a speed of 8.5 m/s. The total mass of the bike rider is 91kg. To calculate the kinetic energy of the bike and the rider just before riding up the hill, we can use the formula for kinetic energy:
Kinetic Energy (KE) = 0.5 * mass * speed^2
Substitute the given values into the formula:
KE = 0.5 * 91kg * (8.5 m/s)^2
Calculation of Height
Now, if the rider just coasts up the hill without pedaling and neglecting friction, we can determine the height at which the bike comes to a stop. At that height, all of the kinetic energy will be converted to potential energy.
Answer:
It is the instantaneous speed of the bike rider.
Explanation:
A bike rider approaches a hill with a speed of 8.5 m/s. The total mass of the bike rider is 91kg. What is the kinetic energy of the bike and the rider just before riding up the hill? If the rider just coasts up the hill, at what height will the bike come to a stop? (neglect friction)For the calculation of kinetic energy:
Kinetic Energy = 0.5 * 91kg * (8.5 m/s)^2
For determining the height at which the bike comes to a stop:
When all kinetic energy is converted to potential energy: mgh = 0.5 * 91kg * (8.5 m/s)^2
Solve for h to find the height at which the bike comes to a stop.