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d1i1m1o1n [39]
3 years ago
10

Two children playing on a frictionless garden gate invent a new game called "gate". The idea is that they will get on opposite s

ides 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 170 N at a distance of 0.590 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 0.430 m from the hinges.
Physics
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

  • <u>233 N</u>

Explanation:

The balance condition, to keep the gate from moving, requires that the net torque be zero, this is, the torques on both sides of the gate must be equal.

  • Torque equation: τ = F × d

a) <u>Torque applied by one of the children:</u>

  • F = 170 N
  • d = 0.590 m

  • τ₁ = 170 N × 0.590 m

b) <u>Torque applied by the second child</u>:

  • F = ?
  • d = 0.430 m

  • τ₂ = F × 0.590 m

c) <u>Equilibrium condition</u>:

  • τ₁ = τ₂
  • 170 N × 0.590m = F × 0.430m

  • F = 170 N × 0.590 m / 0.430 m = 233 N ← answer
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