Fill in the chart with the correct values of F for each change in the system described in questions

We know that the gravitational force F between two masses P and Q, that are separated by a distance R is:

Where G is the gravitational constant.

a) Mass P is doubled, then we have 2*P instead of P, the new force is:

b) Now R is doubled, then instead of R, we have 2*R:

c) Now we replace P by 2*P, and Q by 3*Q

d) The entire mass of the system is increased by a factor of 4, then both of the individual masses are increased by a factor of 4.

Then we need to replace P by 4*P, and Q by 4*Q.

e) Now we replace R by R/2.

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)