Posted by Jane on Sunday, September 12, 2010 at 10:30pm.
At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions. As a result, three forces act on the ball, F1, F2, and F3 (see drawing). The magitudes of 1 and 2 are F1 = 55.0 newtons and F2 = 95.0 newtons. Using a scale drawing and the graphical technique determine the following such that the resultant force acting on the ball is zero.
i'm not sure how to start this problem
help pleasee

physics  got the answer from someone, Saturday, July 13, 2013 at 9:36pm
Figure out the EastWest forces and add them up:
... from F1: 40 cos(60 deg) = 20
... from F2: 90
... from F3: F3 cos(theta)
Add them up:
... 70 + F3 cos(theta)
Set it equal to zero (the ball does not move)
... 70 = F3 cos(theta)
Now do the same for the NorthSouth forces. You should get
... 34.641 = F3 sin(theta)
We have two equations in two unknowns. We can solve them, first for the angle:
34.641 / 70 = [F3 sin(theta) ] / [F3 cos(theta) ]
0.4949 = tan(theta)
Using arctangent, we find
theta = 26.33 degrees.
And cos(theta) = 0.896
and sin(theta) = 0.444
Putting these back into the first two equations:
70 = F3 cos(theta)
70 / 0.896 = F3 = 78.102
And also
34.641 = F3 sin(theta)
34.641 / 0.444 = F3 = 78.102

physics  got the answer from someone, Saturday, July 13, 2013 at 9:37pm
the answer above is for another calculation so plug in you values and derive your answer
Answer This Question
Related Questions
 Physics  At a picnic, there is a contest in which hoses are used to shoot water...
 Physics  At a picnic, there is a contest in which hoses are used to shoot water...
 physics  a child on a beach kicks a beach ball, giving it an initial velocity ...
 physics  A child on a beach kicks a beach ball, giving it an initial velocity ...
 Math  Jack is going to fill his beach ball with water. The radius of the ball ...
 Math  Jack is going to fill his beach ball with water. The radius of the ball ...
 Math  Jack is going to fill his beach ball with water. The radius of the ball ...
 Math  Jack is going to fill his beach ball with water. The radius of the ball ...
 Math  Jack is going to fill his beach ball with water. The radius of the ball ...
 Physics  A .5kg ball hangs on a string attached to the ceiling. If the string ...
More Related Questions