Acyclist intends to cycle up a 7.70o hill whose vertical height is 126m. assuming the mass of bicycle plus person is 75.0kg, calculate how much work must be done against gravity. if each complete revolution of the pedals moves the bike 5.12m along its path, calculate the average force that must be exerted on the pedals tangent to their circular path. neglect work done by friction and other losses. the pedals turn in a circle of diameter 38.8cm.

92704.5 J

596.44737 N

Explanation:

m = Mass of person + bicycle = 75 kg

g = Acceleration due to gravity = 9.81 m/s²

h = Vertical height = 126 m

= Angle = 7.7°

d = Diameter = 0.388 m

Work done against gravity is given by

Work done is 92704.5 J

Force required is given by

The force is 596.44737 N

it is given that trillions of microbes make up to 1% to 3% of the body mass.

let's take average of this percentage: 2%

consider the average mass of the human body as 70 kg.

then, trillions of microbes would have mass  

therefore, 100 trillion micro-organisms would weigh:

this is an approximate value and could change depending on the mass of the human body and percentage of the microbes present in it.

average mass per microorganism =