Answer :
Final answer:
According to the formula for kinetic energy, it actually requires more work to increase an object's speed from 5.00 to 10.00 m/s than from 0 to 5.00 m/s. By performing the calculations, we find that speeding up from 5 m/s to 10 m/s requires twice as much work as speeding up from 0 to 5 m/s.
Explanation:
No, it is not more work to speed up from 0 to 5.00 m/s than from 5.00 to 10.0 m/s. The work done on an object is calculated using the formula for kinetic energy (KE), which is 1/2mv^2. This equation shows that kinetic energy (and thus work required to increase speed) doesn't increase linearly with speed. Therefore, increasing the speed from 5 m/s to 10 m/s actually requires more work than increasing from 0 to 5 m/s.
Let's calculate the work done in both cases to illustrate this. The mass of the combined system (bicyclist + bicycle) is 60.0 kg.
Work done to increase speed from 0 to 5 m/s:
W = ΔKE = 1/2 * 60.0 kg * (5 m/s)^2 - 1/2 * 60.0 kg * (0 m/s)^2 = 750 J
Work done to increase speed from 5 m/s to 10 m/s:
W = ΔKE = 1/2 * 60.0 kg * (10 m/s)^2 - 1/2 * 60.0 kg * (5 m/s)^2 = 2250 J - 750 J = 1500 J
Therefore, it takes more work to increase speed from 5.00 m/s to 10.0 m/s than from 0 to 5.00 m/s.
Learn more about Work and Kinetic Energy here:
https://brainly.com/question/32752469
#SPJ11
