Both girls arrive at the same time at opposite sides of a door that can swing open in  both directions. Without either of them knowing that someone is on the other side, Carly pushes  with a force of 1,000-N at a 60° angle 40-cm from the hinge, while Delaney pushes perpendicularly with a force of 650-N 65-cm from the hinge. In which direction does the door open? Demonstrate  and explain.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Both girls arrive at the same time at opposite sides of a door that can swing open in  both directions. Without either of them knowing that someone is on the other side, Carly pushes  with a force of 1,000-N at a 60° angle 40-cm from the hinge, while Delaney pushes perpendicularly with a force of 650-N 65-cm from the hinge. In which direction does the door open? Demonstrate  and explain.

 

Expert Solution
Step 1

The estimation of torque for each person will give the answer.

The expression for torque is,

τ=r×F|τ|=|r||F|sinθ

Here, τ is the torque, r is the radius, F is the force and θ is the angle between the radius and force.

For girl 1, the given data is,

Force,  F1=1000 N

Radius,  r1=40cm=0.40m

Angle,  θ1=600

For girl 2, the given data is,

 Force, F2=650 N

Radius,  r2=65cm=0.65m

Angle,  θ2=900

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