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<span>The rock cycle is a slow process is true </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
Explanation:
Assuming that all forces extend from the origin point, with
and
lying in the xy plane, so
is along the z axis. So, we have:

The net force is:

The force (
) that would exactly counterbalance these three forces will be opposite in direction and equal in magnitude to the net force:

Answer:
17.10 m
Explanation:
When the toboggan stops, we have:

The x-component of weight is the product of the weight and the sine of the angle above the horizontal, so the y-component of W is the product of the weight and the cosine of the angle above the horizontal.

The work-energy principle states that the change in the kinetic energy of an object is equal to the net work done on the object.

Recall that
, replacing (1):
