Answer :
Final answer:
The weight component along the inclined surface is calculated using the formula for the parallel component, which involves the mass, gravity, and the sine of the incline angle, resulting in approximately 108 N.
Explanation:
The question asks for the component of the weight of the box along the inclined surface. The component of the weight in the direction parallel to the inclined plane is given by the formula w = mg sin(θ), where m is the mass, g is the acceleration due to gravity, and θ is the angle of incline.
In this case, the mass of the box is 14 kg and the angle is 52°. The acceleration due to gravity is approximately 9.8 m/s². Thus:
w = 14 kg × 9.8 m/s² × sin(52°)
w ≈ 14 × 9.8 × 0.788
w ≈ 108 N
Therefore, the correct answer is A.108 N.