At the end of the ride up a steep hill, Ken was at an elevation of 1600 meters above where he started. He figured out that he and his bicycle had accomplished 1,000,000 joules of work. If Ken has a mass of 52 kg, what is the mass of his bicycle?

Step-by-step explanation:

first place)

in first place you must Know by definition that a joule is defined as the amount of work done by a constant force in a meter of length

and it is 1 J = 1 N * m = 1 kg * m/s² * m = 1 Kg*m²/s²

now you can calculate the time done by ken and his bicycle

1000000 = 52kg * (1600) ²/s² = 1000000 = 133120000/s²⇒1000000s² = 133120000⇒s² = 133120000/1000000⇒ s² = 133,12⇒s = √133,12 = 11,5 ≅12

12 s is the time that ken with his bicycle ride up to the mountain

second)

having the time you can calculate the work done by ken individually

52kg * (1600) ² / (12) ² = 133120000 / (12) ² = 924444,4 and this is the work done by ken

Now you must substract the work done by ken and his bicycle from the work done by ken individually in order to know the work of the bicycle

1000000 joules - 924444,4 joules = 75555,6 joules

Having this amount, you can calculate the mass of the bicycle

and it is 1 J = 1 N * m = 1 kg * m/s² * m = 1 Kg*m²/s²

75555,6 = kg * (1600) ² / (12) ²⇒ 75555,6 = 17777,7kg⇒ Kg = 75555,6/17777,7 = 4,25 kg

the mass of the ken's bicycle is 4,25 kg