Work Done by Non-Conservative Forces in Downhill Skiing Scenario
What is the absolute value of the work done by non-conservative forces?
The absolute value of the work done by non-conservative forces is 2,025,500 Joules.
Calculation of Work Done by Non-Conservative Forces
The work done by non-conservative forces can be calculated using the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.
In this scenario, a downhill skier with a mass of 71 kg starts from rest at the top of a 250.0 m hill and reaches a velocity of 62 m/s at the bottom of the hill. To determine the work done by non-conservative forces, we need to follow these steps:
1. Calculate Initial Kinetic Energy: Since the skier starts from rest, the initial kinetic energy is zero.
2. Calculate Final Kinetic Energy: The final velocity of the skier is 62 m/s. Using the formula for kinetic energy (KE = 1/2 * m * v^2), where m is the mass and v is the velocity, we can calculate the final kinetic energy as follows:
KE = 1/2 * 71 kg * (62 m/s)^2
KE = 1/2 * 71 kg * 3844 m^2/s^2
KE = 136,694 J
3. Determine Work Done by Non-Conservative Forces: Subtract the initial kinetic energy from the final kinetic energy to find the work done by non-conservative forces.
Work done by non-conservative forces = Final kinetic energy - Initial kinetic energy
Work done by non-conservative forces = 136,694 J - 0 J
Work done by non-conservative forces = 136,694 J
Therefore, the absolute value of the work done by non-conservative forces in this downhill skiing scenario is 136,694 Joules.