What Science is/is not and How Physics and Chemistry are Connected
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The work done to pull the sled up to the hill is given by
where
F is the intensity of the force
d is the distance where the force is applied.
In our problem, the work done is
and the distance through which the force is applied is 
, so we can calculate the average force by re-arranging the previous equation and by using these data:
where
F is the intensity of the force
d is the distance where the force is applied.
In our problem, the work done is
The position of the first ball is
while the position of the second ball, thrown with initial velocity , is
The time it takes for the first ball to reach the halfway point satisfies
We want the second ball to reach the same height at the same time, so that