Final answer:
The work done against gravity when the mass of the bicycle plus person is 65.0 kg and the height gained is 2.50 meters is 1607.5 joules.
Step-by-step explanation:
To calculate the work done against gravity, you need to multiply the weight of the bicycle plus person by the vertical height gained. The work done against gravity when the mass of the bicycle plus person is 65.0 kg and the height gained is 2.50 meters is 1607.5 joules. The weight can be calculated using the equation weight = mass * acceleration due to gravity.
In this case, the mass is 65.0 kg and the acceleration due to gravity is 9.8 m/s². The vertical height gained is given as 2.50 meters. So, the work done against gravity is:
Work = Weight * Height
= (Mass * Acceleration due to gravity) * Height
= (65.0 kg * 9.8 m/s²) * 2.50 meters
= 1607.5 joules