Answer :
Final answer:
The work done by the 169 N force is 1678 J and the magnitude of the work done by the force of friction is 394.72 J.
Explanation:
To find the work done by the 169 N force, we need to calculate the horizontal component of the force and multiply it by the displacement.
The horizontal component of the force can be found using the formula:
F_horizontal = F * cos(theta)
F_horizontal = 169 N * cos(31.4°)
F_horizontal ≈ 144.6 N
The work done by the force can be calculated using the formula:
Work = F_horizontal * displacement
Work = 144.6 N * 11.6 m
Work ≈ 1678 J
The magnitude of the work done by the force of friction can be calculated using the formula:
Work_friction = coefficient of friction * normal force * displacement
Normal force = mass * gravity
Normal force = 15.7 kg * 9.8 m/s²
Normal force ≈ 153.86 N
Work_friction = 0.221 * 153.86 N * 11.6 m
Work_friction ≈ 394.72 J
Therefore, the work done by the 169 N force is 1678 J and the magnitude of the work done by the force of friction is 394.72 J.
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