 #1
 5
 0
1.Homework Statement
A child pulls a wagon with a constant force of 30 N. How much work is done in moving the wagon 100 m if the handle makes an angle of 30* with the ground?
Brown = Vector
W=fd
a^{2}+b^{2}=c^{2}
cosθ= Adjacent/Hypotenuse
sinθ= Opposite/Hypotenuse
tanθ= Opposite/Adjacent
I calculated the force on the xaxis of the triangle since the 100m distance also lies on the x axis.
cos60*=x/30
x=15
I got an answer of 15N for the magnitude of the force and sub this into the work formula along with the 100m distance.
W=fd
W= (15)(100)
W= 1500J
Geometry and Discrete Mathematics 12 states the answer to be approximately 2600J. The question is #21 on page 58 of the book. What is the correct approach to solve this problem?
A child pulls a wagon with a constant force of 30 N. How much work is done in moving the wagon 100 m if the handle makes an angle of 30* with the ground?
Homework Equations
Brown = Vector
W=fd
a^{2}+b^{2}=c^{2}
cosθ= Adjacent/Hypotenuse
sinθ= Opposite/Hypotenuse
tanθ= Opposite/Adjacent
The Attempt at a Solution
I calculated the force on the xaxis of the triangle since the 100m distance also lies on the x axis.
cos60*=x/30
x=15
I got an answer of 15N for the magnitude of the force and sub this into the work formula along with the 100m distance.
W=fd
W= (15)(100)
W= 1500J
Geometry and Discrete Mathematics 12 states the answer to be approximately 2600J. The question is #21 on page 58 of the book. What is the correct approach to solve this problem?
Attachments

13.8 KB Views: 329