a) Free body diagram:
- Tension force (T) to the right
- Friction force (Ff) to the left
- Weight (mg) downwards
b) To calculate the tension of the rope, we can use the work-energy principle:
Work done on the box = Change in kinetic energy
Work done on the box = 250 J
Change in kinetic energy = 0 (constant velocity)
Therefore, 250 J = T * 12 m
T = 250 J / 12 m
T = 20.83 N
c) To calculate the force of friction, we can use the formula:
Friction force = Tension force
Friction force = 20.83 N
The work done by the force of friction is zero since the displacement is parallel to the force of friction, resulting in zero work being done. This means that the friction force did not contribute to the work done on the box.
A horizontal rope is used to pull a box forward across a rough floor 250J of work over a horizontal displacement of 12 m at constant velocity
a)draw a Free body diagram
b)calculate the tension of the rope
c)calculate the force of friction and the work done by the force of friction explain or answer.
1 answer