Answer:

Explanation:
Given that
Constant rate of leak =R
Mass at time T ,m=RT
At any time t
The mass = Rt
So the total mass in downward direction=(M+Rt)
Now force equation
(M+Rt) a =P- (M+Rt) g

We know that





This is the velocity of bucket at the instance when it become empty.
Answer:
- The separation will be spacelike.
- The first event can't cause the second event, as there exist an frame of reference in which both happens at the same time, in different positions, so, if there were causally connected, it will imply an instant connection, this is faster than light.
Explanation:
We can define the separation between two events (using the + - - - signature) as :

where the separation will be lightlike if is equal to zero, timelike if is positive and spacelike if is negative.
For our problem








So the separation will be spacelike, and the first event can't cause the second event, as there exist an frame of reference in which both happens at the same time, in different positions, so, if there were causally connected, it will imply an instant connection, this is faster than light.
Gravitational potential energy=mass of object x gravitational field strength on earth(9.8 usually rounded to 10) x the height the object is held at
Therefore if two objects were held at the same height, the object with more mass(the heavier object) will fall faster because it's gravitational potential energy is greater than that of the lighter object
'Voltage' is not a quantity that goes 'through' anything. It's the difference of electrical potential between two points, so we usually talk about the voltage 'across' a resistor, or between its ends.
The electrical 'current' through a resistor is directly proportional to the voltage between its ends. So, if the voltage across the resistor is increased by some factor, the current through it increases by the same factor.