number 5 5 In Problem Set #5, you were stranded on a frozen lake and tried to re
ID: 1460666 • Letter: N
Question
number 5
5 In Problem Set #5, you were stranded on a frozen lake and tried to reach the shore by walking on a plank. The plank had a mass of 6.0 kg and you had a mass of 74.0 kg. Let's say that the plank was 4.0 m in length and its mass was uniformly distributed. If you started at one end of the plank and walked to the other end, the center of moss of the system wouldn't change (both you and the plank do move: you toward the shore and the plank away from the shore, but the overall center of mass does not). Use this information to calculate how much closer to the shore you got by walking the plank.Explanation / Answer
let's assume the distance moved by the plank is x m to the right
distance moved by person, xp = (4 - x) to the left
as the centre of mass of system stays at the same place ,
- 6 * (x) + 74 * (4 - x) = 0
x =3.7 m
the plank will move 3.7 m
distance moved closer to the shore = 4 - x
distance moved closer to the shore = 4 - 3.7
distance moved closer to the shore = 0.3 m
the distance moved by person closer to the shore is 0.3 m
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.