Answer to Question #157978 in Physics for Nicole Barret

Question #157978
  1. A 30 kg child stands in an elevator that is accelerating upward at a rate of 1.5 m/s2.

Draw a free body diagram for the child.













Calculate the net force acting on the child.













Calculate the force between the child and the floor of the elevator.












1
Expert's answer
2021-01-24T14:24:20-0500

a) Let's draw a free body diagram for the child:



b)Let's calculate the net force acting on the child. Applying the Newton's Second Law of Motion, we get:


"F_{Net}=ma=30\\ kg\\cdot1.5\\ \\dfrac{m}{s^2}=45\\ N."

c) The force between the child and the floor of the elevator (or the normal force) can be found as follows:


"N-mg=ma,""N=m(g+a)=30\\ kg\\cdot(9.8\\ \\dfrac{m}{s^2}+1.5\\ \\dfrac{m}{s^2})=339\\ N."

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