F(g)= Gm1m2/ r^2
If mass is increased, so will the force of gravity because it is in direct relationship with the gravitational force, but if distance is increased, the force of gravity will decrease because it is indirectly related ( since it is on the bottom of the equation)
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Answer:
final temperature will be 0 degree C
Total amount of ice will be

total amount of water

Explanation:
After thermal equilibrium is achieved we can say that
Heat given by water = heat absorbed by ice cubes
so we will have
Heat given by water to reach 0 degree C



heat absorbed by ice cubes to reach 0 degree



so we will have

so here we can say that few amount of water will freeze here to balance the heat



so final temperature will be 0 degree C
Total amount of ice will be


total amount of water


Answer:
a) 
b) 
Explanation:
Part a
For this case we can begin finding the period like this:

Then we know that the centripetal acceleration is given by:

And the velocity is given by:

If we replace this into the acceleration we got:

And we can replace the values and we got:

Part b
For this case we want to find a value of k such that:

Where a = 9.74, so then we can solve for k like this:
