Answer:
42 J
Explanation:
First find the magnitude of the resultant force. If the 3N force is horizontal, and the 5N force is 60° above horizontal, then the components of the resultant force are:
Fₓ = 3 cos 0° + 5 cos 60° = 5.5 N
Fᵧ = 3 sin 0° + 5 sin 60° = 4.33 N
So the magnitude of the resultant force is:
F² = Fₓ² + Fᵧ²
F² = (5.5 N)² + (4.33 N)²
F = 7 N
The work done is:
W = Fd
W = (7 N) (6 m)
W = 42 J