# physics

posted by .

four uniform spheres, with masses MA= 100kg, MB= 650 kg, MC= 1800 kg, and MD = 100 kg, have (x,y) coordinates of (0, 50 cm), (O,O), (-80 cm, 0), and (40,0) respectively. What is the net gravitational force F2 on spere B due to the other spheres?

• physics -

F = G M1 m/r^2 direction attractive
let M1 = 650. the mass of B
then G M1 = 6.67*10^-11 *650
= 4.34* 10^-8
so I will call
k = 4.34*10^-8 and do the arithmetic later
now each force = k m/r^2
now let's do forces in the X direction
no x force from A on B
x force C on B = k(1800/80^2) = -2812 k
x force D on B = k (100/.4^2) = +625 k
total x force Fx = - 2187 k

The only y force is from A in + y direction
Fy = k (100/.5^2) = k 100/.25 = 400 k
so
Fx = -2187(4.34*10^-8)
Fy = + 400 (4.34*10^-8)
You can multiply that out
if magnitude and direction are asked then
F = sqrt(Fx^2+Fy^2)
tan angle to - x axis in quadrant 2 = Fy/|Fx|

## Similar Questions

1. ### Physics

A square of edge length 19.0 cm is formed by four spheres of masses m1 = 6.00 g, m2 = 3.50 g, m3 = 1.00 g, and m4 = 6.00 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.20 …
2. ### Physics

Four identical masses of 800kg each are placed at the corners of a square whose side length is 10.0cm. What is the net gravitational force (magnitude and direction) on one of the masses, due to the other three?
3. ### Phys

The masses and coordinates of three spheres are as follows: 18 kg, x = 1.50 m, y = 1.50 m; 40 kg, x = -1.50 m, y = -1.50 m; 64 kg, x = 0.00 m, y= -0.25 m. What is the magnitude of the gravitational force on a 14 kg sphere located at …
4. ### physics

a square of edge length 15.0 cm is formed by four spheres of masses m1 = 8.00 g, m2 = 3.50 g, m3 = 1.50 g, and m4 = 8.00 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.20 …
5. ### Physics

Four uniform spheres, with masses mA = 37 kg, mB = 30 kg, mC = 220 kg, and mD = 55 kg, have (x, y) coordinates of (0, 50 cm), (0, 0), (-77 cm, 0), and (44 cm, 0), respectively. Find the net force on sphere B due to the other spheres. …
6. ### physics

In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres of masses 1.79 kg and 16.9 g whose centers are separated by 5.49 cm. Calculate the gravitational force between …
7. ### Physics

In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres of masses 1.27 kg and 18.4 g whose centers are separated by 5.05 cm. Calculate the gravitational force between …
8. ### physics

In the figure below, a square of edge length s is formed by four spheres of masses, m1, m2, m3, and m4. What is the x-component and the y-component of the net gravitational force from them on a central sphere of mass m5. State your …
9. ### Physics

Lead spheres of masses 1.7 kg and 20.4 g whose centers are separated by 6.1 cm. Calculate the gravitational force between these spheres, treating each as a point mass located at the center of the sphere. The value of the universal …
10. ### Physic

Three uniform spheres of masses m1 = 3.50 kg, m2 = 4.00 kg, and m3 = 5.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres …

More Similar Questions