Question

A car of mass m is on an icy driveway inclined at an angle θ as in Figures below. Find the acceleration of the car, assuming that the driveway is frictionles

Answer 1

Mass of a car: $m$

Angle: $\theta$

$\overline a$ - ?

Solution:

$\overline{F}=m\overline g$ , $\overline n$

$\overline F+\overline n=m\overline a$

$x: F_x+n_x=mg\sin \theta +0=ma_x$

$y:F_y+n_y=0$

$mg\sin\theta=ma_x, \quad 0=a_y$

$a_x=g\sin\theta=a$

Answer: $a=g\sin\theta$ .