- #1

Tim Wellens

- 20

- 0

## Homework Statement

Picture- https://www.flickr.com/photos/137149410@N02/shares/32x7oM

The stars are at vertices of a 45 degree right angle. It is assumed that the stars are spherical so that we can replace each star by a point mass at it's center, as seen in the picture.

1) The two forces acting on the small star are F1 (force due to the upper large star) and F2 (force due to the lower large star). Calculate the magnitude of each force

2) Find the x and y components of the two forces

3) Find the x and y component of the total force on the small star.

## Homework Equations

F=Gm1m2/r^2[/B]

## The Attempt at a Solution

a) For F1 I used

**F=Gm1m2/r^2. I plugged in the mass of the small star as mass 1 and the mass of the large upper star as mass 2. I used the distance from the small star to the large star as the r value, which i calculated with pythagorean theorem from the two sides of the right triangle. I got a value of 2.83 x 10^12 m, which I think is correct. So, for F1 I got 6.66 x 10^25 N**

For F2, I did the same, except for the r value I used the distance between the small star and the lower large star, which is 2.00 x 10^12 m. The answer i got for F2 was 1.33 x 10^26 N

For F2, I did the same, except for the r value I used the distance between the small star and the lower large star, which is 2.00 x 10^12 m. The answer i got for F2 was 1.33 x 10^26 N

b) F1x= 2.00 X10^12m F1y= 2.00 x 10^12m

F2x=2.00 x 10^12 m F2y=0

c)I'm not sure on how to calculate the total force on the small star, which I believe is the F vector pointing through the right triangle. I know that Fx= 2.00 x 10^12 m but I'm not sure how to get the Fy value with only a right angle and an x value??[/B]