Question

A car of mass 1230 kg is on an icy driveway inclined at an angle of 39°. The acceleration of gravity is 9.8 m/s². θ If the incline is friction-less, what is the acceleration of the car? Answer in units of m/s².

Answer 1

Answer:

Acceleration of the car, $a=6.16\ m/s^2$

Explanation:

It is given that,

Mass of the car, m = 1230 kg

The car is inclined at an angle of 39 degrees.

The acceleration of gravity acting on the car is $9.8\ m/s^2$. The component of car parallel to inclined planes is :

$W_x=mg\ sin\theta$

Net force acting on it is :

$ma=mg\ sin\theta$

$a=g\ sin\theta$

$a=9.8\times \ sin(39)$

$a=6.16\ m/s^2$

So, the acceleration of the car is $6.16\ m/s^2$. Hence, this is the required solution.