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Answer :
D. The gravitational force experienced by a box of mass 50 kg on a 60° frictionless incline is approximately 424 N, calculated using the formula Fg = m * g * sin(θ).
To calculate the gravitational force acting along the incline, we use the formula:
Fg = m * g * sin(θ)
where m is the mass of the box, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of incline.
Given:
- m = 50 kg
- g = 9.8 m/s²
- θ = 60°
Using the sine function for the angle 60°, we get sin(60°) = √3/2 ≈ 0.866.
Now, the gravitational force along the incline is:
Fg = 50 kg * 9.8 m/s² * 0.866 ≈ 424 N
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