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Lakes and rivers can be formed landforms from water
<span>So, if the man weight 900 newtons on Earth then that means, using F=ma, that the mass of the man is approximately 91.84 kg. This is because 900N=m(9.8m/s^2), and so it follows that 900/9.8=91.84. Using the man's found mass we then plug this into F=ma again. It follows that F=(91.84)(25.9)=2378.57N. This means that the man "weighs" 2378.57 Newtons on Jupiter, or about 2.5x as great as his weight on Earth. This makes sense, considering that 25.9/9.8 is approximately equal to 2.64.</span>
Let's apply an equation of equilibrium to the situation: The sum of the moments about the left end of the board must equal 0.
We have three moments to add. Positive force values indicate upward direction and negative values indicate downward direction. All distances given below are measured to the right side of the left end of the board:
- The weight of the board, -125N, located at 2m (center of the board due to its uniform density)
- The tension in the right chain, +250N, located at 4m
- The weight of the person, -500N, located at a distance "x"
The sum of the moments must equal 0 and is given by:
ΣFx = 0
F is the magnitude of force, x = distance from the left end of the board
Plug in all of the force and distance values and solve for x:
ΣFx = 250(4) - 125(2) - 500x = 0
500x = 750
x = 1.5m
