The work done by the rope on the car is given by the equation:
W = Fd cosθ
where W is the work done (in joules), F is the force exerted by the rope (in newtons), d is the distance moved (in meters), and θ is the angle between the force and the direction of motion (in degrees).
Substituting the given values, we have:
W = (216 N)(12 m) cos(29.5o)
W = 216 N × 12 m × 0.8836
W = 2271.12 J
Therefore, the rope does 2271.12 joules of work on the car to move it 12 m.
A 45 kg car is pulled at a constant speed across a rough horizontal road by a rope at an angle of 29.5o above horizontal. How much work is done by the rope on the car to move 12 m if the tension in the rope is 216 N?
1 answer
1 answer