- #1
JoeyBob
- 256
- 29
- Homework Statement
- See attached
- Relevant Equations
- F=-Gm_1m_2/r^2
So what I did was find each of the forces the masses had on m1 using the above equation.
From m2 I found 19.975 in the negative i hat and for m4 i found 29.96 in the positive k hat direction using the above equation.
For m3 I used pythagorean theorem to calculate r, which was 3.25 (so r^2 was 10.58). I then used the above equation to get 9.987N. This force would act in the up direction, so I added it to my k hat to get 39.95 and to the left so I made it negative and added it to my i hat to get 29.96 in the negative i hat direction.
Then I squared and added the forces and square rooted them to get 49.937N, which is wrong. The answer is supposed to be 45.84.
I think I screwed up somewhere during the m3 part, but I am not sure how.
From m2 I found 19.975 in the negative i hat and for m4 i found 29.96 in the positive k hat direction using the above equation.
For m3 I used pythagorean theorem to calculate r, which was 3.25 (so r^2 was 10.58). I then used the above equation to get 9.987N. This force would act in the up direction, so I added it to my k hat to get 39.95 and to the left so I made it negative and added it to my i hat to get 29.96 in the negative i hat direction.
Then I squared and added the forces and square rooted them to get 49.937N, which is wrong. The answer is supposed to be 45.84.
I think I screwed up somewhere during the m3 part, but I am not sure how.