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Chapter 9: Q1 PE (page 316)

When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850 m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges?

Short Answer

Expert verified
  1. The torque applied relative to hinges is \(46.75\;{\rm{Nm}}\).
  2. The torque will remain the same as before, even the hinges' height.

Step by step solution

01

Force

A force is an external factor that can change the rest or motion of a body. It has a size and a general direction.

02

Calculation of torque

  1. The force is55.0N.

The perpendicular distance from the hinge isr=0.850m .

The torque is,

τ=rFsinθ

Here,θ=90o and we get,

τ=0.850×55.0×sin90°=46.75Nm

Thus, the torque is46.75Nm

03

Dependence of torque

b. The torque value depends on the perpendicular distance from the hinge, not on the height from the ground. Hence, the torque will remain the same as before, even the hinges' height.

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