The car rolls with little friction down the slope, the angle of which is 2 degrees with the horizon.

The car rolls with little friction down the slope, the angle of which is 2 degrees with the horizon. What is the acceleration of a car.

To find the acceleration of the presented car when rolling down a slope, we project the acting forces onto the axis of motion (friction is not taken into account): m * a = Fт * sinα = m * g * sinα and a = g * sinα.

Constants and variables: g – gravitational acceleration (g = 9.81 m / s2); α – slope angle (α = 2º).

Let’s perform the calculation: a = g * sinα = 9.81 * sin 2º = 0.342 m / s2.

Answer: The acceleration of the presented vehicle during rolling is 0.342 m / s2.