What is the magnitude of the acceleration a of the chair? What is the magnitude of the normal force fn acting on the chair?

1. The acceleration of the chair is 0.64 m/s²

2. The normal force acting on the chair is 523.6 N

Explanation:

Let's list out the parameters given us:

mass = 45 kg, F = 144 N, θ = 35°, F (f) = 89 N

Solving for the horizontal component of the Force, we use the formula

F (hor) = F * cos θ = 144 * cos 35°

F (hor) = 117.96 N

F (hor) = 118 N

The friction force is acting upon the chair in the opposite direction of the f (hor) & must be accounted for

F (net) = F (hor) - F (f)

F (net) = 118 - 89 = 29

F (net) = 29N

F (net) = mg

g = F (net) ÷ m = 29 ÷ 45

g = 0.64 m/s²

F (norm) = F (chair) + F (ver)

F (chair) = mg

where g = acceleration due to gravity = 9.8 m/s²

F (chair) = 45 * 9.8 = 441 N

F (ver) = F * sin θ = 144 * sin 35°

F (ver) = 82.6 N

F (norm) = 441 + 82.6 = 523.6

F (norm) = 523.6 N

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.