How much work can be done given force, mass, angle & displacement?

1. The problem statement, all variables and given/known data
a person uses a cord to pull a boat of 1000 kg along 50 meters. The cord makes a 45° angle. If the applied work to the boat is 40 N, how much work is done?

Given:
mass = 1000 kg
displacement = 50 meters
the angle = 45°
applied work = 40 N

2. Relevant equations

Work = Fd
Weight = mg
Work = Fd cos θ

3. The attempt at a solution

First I converted the mass to weight:

1000 kg/ 9.81 m/s = 101.9 N

Then I added that to the other force so, 101.9 N + 40.0 N = 141.9 N. *I don’t know if I should add or subtract*

Then I used the W = Fd cos θ equation:

W = (141.9 N * 50 m)(cos 45°) =

5016.9 J

Is this correct?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

http://ift.tt/1lrmfZl

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