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Shawn and his bike have a total mass of 55.8 kg. Shawn rides his bike 1.2 km in 10.9 minutes at a constant velocity. What is Shawn's average power output?

User Hampton
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Final answer:

To calculate Shawn's average power output, we would need to know the force he applied while riding. Without this information, the calculation is not possible with the given data. Normally, power is calculated as Work/time, but in this case, we cannot determine the work done.

Step-by-step explanation:

The question involves calculating the average power output of Shawn as he rides his bike over a distance of 1.2 kilometers in 10.9 minutes at a constant velocity. To find the average power, we first need to calculate the work done, which is the product of the distance traveled and the force applied in the direction of travel. However, since we're not given the force or the change in kinetic energy, we must relate the work done to the change in kinetic energy, which is zero because his velocity is constant.

In this case, the work done is against friction and air resistance. Since we cannot calculate this work without knowing the forces, we will assume that the only work done is moving against the gravitational force, which is negligible on a flat surface; thus, we effectively have no work done, leading to zero power output. However, this is conceptually incorrect as Shawn does exert energy to maintain constant velocity, overcoming air resistance and friction. The lack of information prevents a precise calculation.

If we had the force Shawn exerted, the calculation would be straightforward - calculate the work done and divide by the time in seconds to find power (Power = Work/time), where work is force times distance (Work = Force × Distance). Remember to convert all units to SI; convert distance to meters (1.2 km = 1200 m) and time to seconds (10.9 min = 654 s).

User Topsy
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