Question

A 1150 kg car is on a 8.70° hill. using x-y axis tilted down the plane, what is the x-component of the weight?

Answer 1

0 N

Step-by-step explanation:

n(x) = 0

the normal force is not what makes the object move. it is the weight and force exerted along with the tilt of the plane. the Normal force has an x component of 0.

Answer 2

I assume the x-y axis are tilted such that the x-axis is parallel to the surface of the hill while the y-axis is perpendicular to it.

In this case, the x-component of the weight is given by:

`W_x =mg \sin \theta`
where
m is the mass of the car
g is the acceleration of gravity

`\theta` is the angle of the hill

Substituting numbers into the formula, we find

`W_x=(1150 kg)(9.81 m/s^2)(\sin 8.70^(\circ))=1706 N`