Answer :
The gravitational force experienced by a box of mass 50 kg moving down a frictionless plane inclined at a 60-degree angle is 424 N.
The correct answer is option B.
To calculate the gravitational force, we can use the formula:
F = m * g * sin(θ)
where F is the gravitational force, m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of inclination.
First, we need to calculate the acceleration due to gravity:
g = 9.8 m/s²
Next, we can substitute the values into the formula:
F = m * g * sin(θ)
F = 50 kg * 9.8 m/s² * sin(60°)
To calculate the sine of 60°, we can use the fact that sin(60°) = √3/2 ≈ 0.866.
F = 50 kg * 9.8 m/s² * 0.866
F ≈ 424 N
Therefore, the gravitational force experienced by the box is 424 N.
The correct answer is option B: 424 N.
