An old English nursery rhyme starts off "Jack and Jill went up the hill to fetch a pail of water". If the hill is 10 m high and Jack weighs 700 N, how much work in Joules did Jack need to do to get to the top of the hill?
W = Fd = 700 * 10
assuming a weightless bucket :-)
or, Jill carried it.
7000N = 7000J
so jack can lick her candy
To calculate the work done by Jack to get to the top of the hill, we need to use the formula:
Work = Force x Distance x cosθ
First, let's identify the given information:
- The height of the hill (Distance) = 10 m
- Jack's weight (Force) = 700 N
In this case, we are assuming that Jack is moving vertically upward, so the angle θ between the applied force and the direction of motion is 0 degrees. Therefore, the cosine of 0 degrees is 1.
Now, we can calculate the work:
Work = 700 N x 10 m x cos(0°)
Work = 700 N x 10 m x 1
Work = 7000 Joules
So, Jack needs to do 7000 Joules of work to get to the top of the hill.