Final answer:
The work done by friction on the body is calculated by finding the horizontal component of the applied force, which is equal to the force of friction when the body moves at a constant speed. For a distance of 6 meters and a friction angle of 180°, the work done by friction is -51.96 Joules, indicating that friction is acting in the opposite direction of motion.
Step-by-step explanation:
To calculate the work done by friction on the body, we must first recognize that the force of friction acts in the opposite direction to the movement of the body. The work done by friction (Wfr) can be found using the formula:
Wfr = Ffr × d × cos(θ)
Here, Ffr is the force of friction, d is the distance the body moves, and θ is the angle between the force of friction and the displacement, which is 180° since they are in opposite directions. As the body moves at a constant speed, the force of friction must be equal to the horizontal component of the applied force, which is 10 N × cos(30°).
Work done by friction:
Wfr = (10 N × cos(30°)) × 6 m × cos(180°)
Wfr = (8.66 N) × 6 m × (-1)
Wfr = -51.96 J
The negative sign indicates that the work done by friction is in the direction opposite to the displacement of the body. Therefore, the work done by friction on the body is -51.96 J.