Doubling both masses results in a fourfold increase in gravitational force, as it is directly proportional to the product of the masses.

According to Newton's law of gravitation, if the distance is halved, the force increases by a factor of 4 (F ∝ 1/r²).

Gravitational force is directly proportional to the product of the masses. Tripling one mass triples the force.

Gravitational force is directly proportional to the product of the masses. Halving one mass halves the force.

The gravitational potential decreases as you move away from a planet.

The gravitational potential energy decreases as the two masses move closer together.

The gravitational potential energy increases as the object is lifted to a height 'h' above the ground.

A +M group increases the stability of a carbocation by donating electron density through resonance.

A -I group decreases the stability of a carbocation by withdrawing electron density.

Constraints can limit the configurations of a system, often leading to a decrease in potential energy.

The conclusion is crucial as it reinforces the main arguments and provides a final perspective, leaving a lasting impression on the examiner.

Each O2 molecule has 2 oxygen atoms. Number of atoms = moles x Avogadro's number x 2 = 2 moles x 6.022 x 10^23 molecules/mole x 2 = 1.2044 x 10^24 atoms.

There are 100 centimeters in a meter.

A time difference of 4 hours corresponds to 4 * 15 = 60 degrees of longitude.

The first digit can be any of 10 digits, the second can be any of 9, the third can be any of 8, and the fourth can be any of 7. Total = 10 * 9 * 8 * 7 = 5040.

Each digit can be any of the 10 digits (0-9), so the total number of PINs is 10^4 = 10000.

The number of 4-digit PINs is P(10, 4) = 5040.

The number of ways to choose 2 from 5 is C(5, 2) = 10.

The number of ways to arrange 5 people is 5! = 120.

The total arrangements = 6! / (3! * 2! * 1!) = 60.

The number of arrangements of 4 different colored balls is 4! = 24.

The number of arrangements of n people at a round table is (n-1)!. For 4 people, it is 3! = 6.

The number of ways to distribute 4 prizes among 10 students is 10P4 = 10! / (10-4)! = 5040.

The number of ways to choose 4 from 10 is given by 10C4 = 210.

The number of arrangements of 6 people at a round table is (6-1)! = 5! = 120.

The number of arrangements of 6 people is 6! = 720.

The number of arrangements of the letters in 'BOOK' is 4! / 2! = 12.

The number of arrangements of the letters in 'MATH' is 4! = 24.

The power set of the empty set contains only one subset, which is the empty set itself. Thus, it has 1 element.

Molar mass of C6H12O6 = 6*12 + 12*1 + 6*16 = 180 g/mol. Mass = 0.25 moles x 180 g/mol = 45 g.