A 29 kg crate rests on a horizontal floor, and a 78 kg person is standing on the

Question

A 29 kg crate rests on a horizontal floor, and a 78 kg person is standing on the crate.
a) Determine the magnitude of the normal force that the floor exerts on the crate.
b) Determine the magnitude of the normal force that the crate exerts on the person.

A 90.0 kg person stands on a scale in an elevator. What is the apparent weight in each of the following situations?
(a) when the elevator is accelerating upward with an acceleration of 1.20 m/s2
(b) when the elevator is moving upward at a constant speed
(c) when the elevator is accelerating downward with an acceleration of 1.40 m/s2

Explanation / Answer

Mass of the crate , m1 = 29 kg

Mass of the person , m2 = 78 kg

a)Normal force exerted by the floor is

N = (m1+m2)g

= (29 kg+78 kg)*9.8 m/s^2

N = 1048.6 N

b) Normal force exerted by crate is

N = 78 kg *9.8 m/s^2 =764.4 N

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