Question

1. a 2891 n barrel of high fructose corn syrup rests on a loading ramp that is inclined 27.00°. calculate the magnitude of the normal force acting on the barrel.

Explanation:

Step1: Analyze forces on barrel

The weight of the barrel is $W = 2891\ N$. On an inclined - plane, the normal force $N$ on the barrel is related to the weight by $N=W\cos\theta$, where $\theta = 27.00^{\circ}$ is the angle of the incline.

Step2: Calculate normal force

We know that $\cos\theta=\cos(27.00^{\circ})\approx0.891$. Then $N = 2891\times0.891$.
$N=2891\times0.891 = 2575.881\approx2575.9\ N$

Answer:

C. 2575.9 N