3) Three shoppers are fighting over a case of toilet paper. One pulls to the left with a force of 185 N, while the other pulls with a force of (145, 120) N. If the case is in equilibrium, what is the force of the third shopper? Write both the coordinate pair and the magnitude of the force. Coordinates: Magnitude:

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Equilibrium Problems Worksheet
Name
Period
1) Two people pull on a heavy crate. One person pulls directly to the north with a force of 375 N,
while the other pulls directly to the east with a force of 435 N. Find the third force required to keep uie
crate in equilibrium. Write both the coordinate pair and the magnitude of the force.
Date
Coordinates: 435,375)
I375N
574 N
X=0+375+-375=O
Magnitude:
435N
(435,0)
Y=435 +0 + -43S = 0
3752+ 435²= c²
140,625 t189,225 =C
329,850 =c²
574 N
2) Three dogs are playing tug-of-war with a rope toy. One dog pulls straight down with a force of 65
N, while the other pulls with a force of (65, -45) N. Find the force that the third dog needs to pull with
to keep the toy in equilibrium. Write both the coordinate pair and the magnitude of the force.
Magnitude:
128N
Coordinates:
lus, -as)
(65,-45)
X = 65 + 0t-65 =O
ニ -4ら+-6S +110 =0
ー6S2+-110-e
(0;65)
4,225 +12,100 =C
16,325 =
128 N
3) Three shoppers are fighting over a case of toilet paper. One pulls to the left with a force of 185 N,
while the other pulls with a force of (145, 120) N. If the case is in equilibrium, what is the force of the
third shopper? Write both the coordinate pair and the magnitude of the force.
Magnitude:
Coordinates:
185N
Transcribed Image Text:Equilibrium Problems Worksheet Name Period 1) Two people pull on a heavy crate. One person pulls directly to the north with a force of 375 N, while the other pulls directly to the east with a force of 435 N. Find the third force required to keep uie crate in equilibrium. Write both the coordinate pair and the magnitude of the force. Date Coordinates: 435,375) I375N 574 N X=0+375+-375=O Magnitude: 435N (435,0) Y=435 +0 + -43S = 0 3752+ 435²= c² 140,625 t189,225 =C 329,850 =c² 574 N 2) Three dogs are playing tug-of-war with a rope toy. One dog pulls straight down with a force of 65 N, while the other pulls with a force of (65, -45) N. Find the force that the third dog needs to pull with to keep the toy in equilibrium. Write both the coordinate pair and the magnitude of the force. Magnitude: 128N Coordinates: lus, -as) (65,-45) X = 65 + 0t-65 =O ニ -4ら+-6S +110 =0 ー6S2+-110-e (0;65) 4,225 +12,100 =C 16,325 = 128 N 3) Three shoppers are fighting over a case of toilet paper. One pulls to the left with a force of 185 N, while the other pulls with a force of (145, 120) N. If the case is in equilibrium, what is the force of the third shopper? Write both the coordinate pair and the magnitude of the force. Magnitude: Coordinates: 185N
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