Question

question 1 of 10 blaine skis down a hill at an angle of 12°. he has a mass of 82 kg. what is the normal force on blaine? a. 786 n b. 167 n c. 352 n d. 804 n

Explanation:

Step1: Identify the gravitational - force formula

The gravitational force acting on Blaine is $F_g = mg$, where $m = 82\ kg$ and $g=9.8\ m/s^2$.
$F_g=82\times9.8 = 803.6\ N$

Step2: Resolve the gravitational - force perpendicular to the surface

The normal force $N$ on an object on an inclined plane is given by $N = mg\cos\theta$, where $\theta = 12^{\circ}$.
$N=803.6\times\cos(12^{\circ})$
Since $\cos(12^{\circ})\approx0.9781$, then $N = 803.6\times0.9781\approx786\ N$

Answer:

A. 786 N