A crate is pulled to the right with a force of
72.1 N, to the left with a force of 112.5 N,
upward with a force of 599 N, and downward
with a force of 231.2 N.
What is the magnitude of the net external
force on the crate?
I found the X axis to be -40.4 N and the Y axis to be 367.8N
I did -40.4^2 + 376.8^2 then square rooted that answer to get 365.574 N but the answer is wrong, please explain how you found the displacement if you got a different answer!
72.1 N, to the left with a force of 112.5 N,
upward with a force of 599 N, and downward
with a force of 231.2 N.
What is the magnitude of the net external
force on the crate?
I found the X axis to be -40.4 N and the Y axis to be 367.8N
I did -40.4^2 + 376.8^2 then square rooted that answer to get 365.574 N but the answer is wrong, please explain how you found the displacement if you got a different answer!
-
Force in x-direction is 72.1 - 112.5 = -40.4N
Force in y-direction is 599 - 231.2 = 367.8N
Resultant = √(-40.4)² + (367.8)²)
= √(1632.16 + 135276.84)
= √136909
= 370N
The mistake you have made is working out (-40.4)².
You have used -1632.16 but there should be no minus sign. When you square a negative number the answer is positive.
Force in y-direction is 599 - 231.2 = 367.8N
Resultant = √(-40.4)² + (367.8)²)
= √(1632.16 + 135276.84)
= √136909
= 370N
The mistake you have made is working out (-40.4)².
You have used -1632.16 but there should be no minus sign. When you square a negative number the answer is positive.
-
I used the component method to answer this question.
In order to use the component method, we need to set a positive and negative direction.
Up and Right are positive. Just so you know, which are positive or negative is arbitrary.
Down and Left are negative.
F net (positive) = 72.1 N + 599 N
F net (positive) = 671.1 N
F net (negative) = -112.5 N + -231.2 N
F net (negative) = -343.7 N
F net = sqrt((671.1 N)^2 + (-343.7 N)^2))
F net = 349.67 N
I'm not exactly sure how to find the displacement.
In order to use the component method, we need to set a positive and negative direction.
Up and Right are positive. Just so you know, which are positive or negative is arbitrary.
Down and Left are negative.
F net (positive) = 72.1 N + 599 N
F net (positive) = 671.1 N
F net (negative) = -112.5 N + -231.2 N
F net (negative) = -343.7 N
F net = sqrt((671.1 N)^2 + (-343.7 N)^2))
F net = 349.67 N
I'm not exactly sure how to find the displacement.