Question

A basket has a mass of 5.5 kg. Find the magnitude of the normal force if the basket is at rest on a ramp inclined above the horizontal at:

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a) 0 degrees (horizontal surface)
b) 12 degrees
c) 25 degrees
d) 45 degrees


can you write the answer and the steps how you found the magnitude

Answer 1

(a) 53.9 N

(b) 52.72 N

(c) 48.85 N

(d) 38.11 N

Step-by-step explanation:

The normal force is always perpendicular to the surface.

(a) the normal force = m x g = 5.5 x 9.8 = 53.9 N

(b) Normal force = m x g x CosФ = 5.5 x 9.8 x Cos 12 = 52.72 N

(c) Normal force = m x g x CosФ = 5.5 x 9.8 x Cos 25 = 48.85 N

(d) Normal force = m x g x CosФ = 5.5 x 9.8 x Cos 45 = 38.11 N

Answer 2

Here is the correct answer of the given problem above.
Given that the basket has a mass of 5.5kg, the magnitude of the normal force if the basket is at rest on a ramp inclined above the horizontal is at 12 degrees. The solution is simple:
Fn at rest = lmgl
= 5.5kg (9.80N/kg)
= mgCos12degrees
Hope this answer helps.