Total Force in Deep Space

There are two objects surrounding our spaceship in deep space. Object \(\rm{A}\) is a cube with sides \(1.33\ \rm{m}\). It has a density of \(21859.0\ \rm{\frac{kg}{m^{3}}}\) and it is at position \((2,2)\). The other one, Object \(\rm{B}\), is a sphere with radius \(2.63\ \rm{m}\). It has a density of \(18366.0\ \rm{\frac{kg}{m^{3}}}\) and it is at position \((4,-3)\). Our space shuttle has a mass of \({{ params.m}}\) metric tons and is at the origin. Find the total gravitational force on the spaceship.
Note:
Volume of a Sphere: \(V = \frac{4}{3}.\pi.r^3\)
Volume of a Cube: \(V = a^3\)
Volume of a Cylinder: \(V = \pi . r^{2} . h\)
Volume of a Cone: \(V = \frac{1}{3} . \pi . r^{2} . h\)
\(G = 6.67 \times 10^{-11} \ \rm{m^3. kg^{-1}. s^{-2}}\)
The coordinates are in the metric system.

Part 1

What is the magnitude of the total gravitational force on our spaceship?

Answer Section

Please enter in a numeric value in \(\rm{N}\).

Part 2

What is the direction of the total gravitational force, in degrees? (positive values only)

Answer Section

Please enter in a numeric value in degrees.

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.