1. Two children playing on a frictionless garden gate invent a new game called \
ID: 1437830 • Letter: 1
Question
1. Two children playing on a frictionless garden gate invent a new game called "gate". The idea is that they will get on opposite sides of the gate and each push such that the gate does not move. If they both push horizontally and perpendicular to the gate and one child pushes with a force of 180 N at a distance of 0.720 m from the hinges, determine the force the second child must exert in order to keep the gate from moving if she pushes at a distance of 0.495 m from the hinges.
___________________N
Explanation / Answer
the force the second child must exert in order to keep the gate from moving if she pushes at a distance of 0.495 m from the hinges is
F = f1*x1/x2
= 180 N * 0.720 m / 0.495 m
= 261.81 N
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