Accodting to Newton's universal law of gravity, if the separation between to bodies is increased by a factor of three, the gravitational pull each has on the other will be X by a factor of Y ?

BLOCK WITH A FORCE
THERE IS A BLOCK OF SIDE X METRES RESTING ON A FRICTIONLESS SURFACE
A FORCE F IS APPLIED AT THE LEFT TOP OF THE BOX(TAKE THE DIRECTION OF FORCE IS FROM LEFT TO RIGHT) HORIZONTALLY
NOTE: THE FORCE IS NOT AT THE CENTRE OF GRAVITY.
PROVE THAT THE BOX TENDS TO ROTATE ABOUT THE CENTRE OF GRA

See attached file.
Assume the earth to be a uniform spherical planet, mass M= (5.98 E 24) kg. (The number, in scientific notation, means '5.98 times 10 to the 24') The earth's radius is R= (6.37 E 6) m.
Part a. Find the force of gravity between the earth and a spacecraft whose mass is m= 36000 kg, which is at height h=

What should the height of a slide in a park be so that a child will reach the bottom of the slide with a speed of 15 m/s using gravity as 10 m/s squared? Please include all work.

Rotating Space Stations. One problem for human living in outer space is that they are apparently weightless. One way around this problem is to design a space station that spins about its center at a constant rate. This creates "artificial gravity" at the outside of the station.
A) If the diameter of the space station is 8

Joe's Sports Supplies Corporation is considering where to locate its warehouse in order to service its four stores in four towns: A, B, C, and D. Two possible sites for the warehouse are being considered, one in Jasper and the other in Longboat. The following table shows the coordinates for each of the four towns. Also shown are

"How far above the Earth's surface will the acceleration due to gravity be a quarter of what it is on the surface?"
I tried to use the g' = (G * m) / r^2 equation (with the mass of the earth as "m") because it was used with a somewhat similar problem in my book about the value of g on the top of Mount Everest, but I came up w

5. Consider a spherical asteroid with a radius of 12 km and a mass of 3.45 x 10 to the fifteenth power kg. (a) What is the acceleration of gravity on the surface of this asteroid? (b) Suppose the asteroid spins about an axis through its center, like the Earth, with an angular speed w. What is the greatest value w can have befor

Mars has a mass of 6.46 x 10^23 kg and a radius of 3.39 x 10^6 m. What is the acceleration due to gravity on Mars and how much would a 65 kg person weigh on this planet?