What is the normal force exerted by a road inclined 8 degrees from the horizontal on a 1500kg car?

1 Answer
Sep 10, 2016

1.46xx10^4N, rounded to two decimal places.

Explanation:

We know from the figure given below that
![dev.physicslab.org](useruploads.socratic.org)

When an object rests on an incline plane of angle theta with the horizontal, the normal force supplied by the surface of the incline is equal to the costheta component of its weight, mg, and is calculated from the expression

F_n = mg cosθ
the mnemonic "n" represents "normal" which is perpendicular to the incline.

Given theta=8^@,
:.F_n = 1500xx9.81xx cos8^@
=>F_n = 1.46xx10^4N, rounded to two decimal places.