Question

A car of mass 1470 kg is on an icy driveway

inclined at an angle of 40◦. The acceleration of gravity is 9.8 m.
If the incline is frictionless, what is the acceleration of the car Answer in units of m/s

Answer 1

a = 7.5 m / s²

Step-by-step explanation:

For this exercise let's use Newton's second law, let's create a coordinate system with the x axis parallel to the plane and the y axis perpendicular to the plane

Y axis

N - W cos θ = 0

N = mg cos θ

X axis

W sin θ = m a

mg sin θ = m a

a = g sin θ

let's calculate

a = 9.8 cos 40

a = 7.5 m / s²