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Answer :
The gravitational force experienced by a 50 kg box on a frictionless 60° inclined plane is approximately 424 N. So, the correct option is 424 N.
The gravitational force experienced by an object on an inclined plane depends on the object's weight and the angle of the incline. For a box with a mass of 50 kg on a frictionless plane inclined at a 60° angle, the force due to gravity along the plane (Fparallel) can be calculated using the formula Fparallel = mg sin(θ), where m is mass, g is the acceleration due to gravity (9.8 m/s2), and θ is the angle of incline.
Plugging in the known values, we get Fparallel = (50 kg)(9.8 m/s2) sin(60°) which equals 50 kg × 9.8 m/s2 × 0.866 (since sin(60°) ≈ 0.866). The calculated force is thus approximately 424 N. So, the correct option is 424 N.
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