Question

The acceleration of a body moving a frictionless plane inclined at 30o will be:

1) 0
2) g
3) g/2
4) √3g/2

Answer 1

The acceleration of a body moving down a frictionless plane inclined at 30° with the horizontal can be calculated using the formula a = g sin(θ), where θ is the angle of the plane and g is the acceleration due to gravity.

Step-by-step explanation:

The acceleration of a body moving down a frictionless plane inclined at 30° with the horizontal can be calculated using the formula a = g sin(θ), where θ is the angle of the plane and g is the acceleration due to gravity. As mentioned in the provided information, the acceleration is independent of mass.

In this case, θ = 30° and g = 9.81 m/s². Plugging these values into the formula, we get a = 9.81 * sin(30°) = 4.90 m/s².

Therefore, the correct option is 2) g as the acceleration of the body will be equal to the acceleration due to gravity.