You are riding in an elevator on the way to the 18th floor of your dormitory. Th

Question

You are riding in an elevator on the way to the 18th floor of your dormitory. The elevator accelerationg upward with a = 1.90 m/s2 . Beside you is the box containing your new computer; box and contents have a total mass of 34.0 kg . While the elevator is accelerating upward, you push horizontally on the box to slide it at constant speed toward the elevator door.

é Chrome File Edit View History Bookmarks People Window Help 49 t a , 28% Wed 11:12 PM a MasteringPhysics: AHw#5(Ch5)(B100) 2 https://session.masteringphysics.com/myct/item View?assignmentProblemID-59118751 Problem 5.94 Part A You are riding in an elevator on the way to the 18th floor of your dormitory. The elevator accelerationg upward with a = 1.90 m/s* . Beside you is the box containing your new computer; box and contents have a total mass of 34.0 kg . While the elevator is accelerating upward, you push horizontally on the box to slide it at constant speed toward the elevator door If the coefficient of kinetic friction between the box and elevator floor is k-0.31, what magnitude of force must you apply? 2 Express your answer with the appropriate units. Value N Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining 21663 2

Explanation / Answer

Force of friction, F= coefficient of kinetic friction * normal reaction R
The difference of normal reaction R and weight mg provides the force F' = ma which accelerates the box in the elevator in theupward direction.

R - mg = ma

R = mg+ma=m(g+a)=34(9.8+1.9)= 34 *11.7=397.8 N
The force of friction F=0.31 x397.8=123.3 N

The force required to push the box is 123.3 N

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