What happens to the force of gravity between two objects when the distance between them is doubled?

Correct Answer: D

Rationale: According to the law of universal gravitation, the force of gravity between two objects is inversely proportional to the square of the distance between them. When the distance is doubled, the force decreases by a factor of 2 squared, which is 4. Therefore, the force decreases by a factor of 4. Choice A is incorrect because the force doesn't increase when the distance is doubled. Choice B is incorrect as the force doesn't increase but actually decreases. Choice C is incorrect as the force decreases by a factor of 4, not 2.

Correct Answer: C

Rationale: When an object is lifted higher above the ground, its potential energy increases. This is because the higher the object is lifted, the greater its potential energy due to the increased distance from the ground. The formula for gravitational potential energy is PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the reference point. Therefore, as the height (h) increases, the potential energy (PE) also increases, making choice C the correct answer. Choices A, B, and D are incorrect because when an object is lifted higher, it gains potential energy rather than losing it, keeping it the same, or becoming zero. Thus, the correct answer is that the potential energy of an object increases when it is lifted higher above the ground.

Correct Answer: C

Rationale: Kinetic energy is directly proportional to the square of the velocity of an object according to the kinetic energy formula (KE = 0.5 * m * v^2). When the velocity is doubled, the kinetic energy increases by a factor of four (2^2), which means it doubles. Therefore, when the velocity of an object is doubled, its kinetic energy also doubles. Choice A is incorrect because kinetic energy is not constant but dependent on velocity. Choice B is incorrect because halving the velocity would result in 1/4 of the original kinetic energy. Choice D is incorrect as quadrupling the kinetic energy would occur if the velocity is squared, not the kinetic energy.

Correct Answer: B

Rationale: Toluene is an aromatic compound due to its benzene ring structure, which satisfies the criteria of aromaticity. Aromatic compounds contain conjugated pi electrons in a ring structure, providing extra stability. Ethanol, acetone, and butanal are not aromatic compounds as they do not possess a benzene ring or meet the aromaticity criteria. Ethanol is an alcohol, acetone is a ketone, and butanal is an aldehyde, none of which have the characteristic benzene ring structure of aromatic compounds.

Correct Answer: A

Rationale: The correct answer is A: 'It decreases.' When an object falls freely, its height decreases, resulting in a decrease in gravitational potential energy. The potential energy is converted into kinetic energy as the object accelerates due to gravity. This conversion process continues until the object reaches the ground or its lowest point, where the gravitational potential energy is minimal or zero. Choice B is incorrect because gravitational potential energy decreases, not increases, during free fall. Choice C is incorrect as gravitational potential energy changes due to the change in height. Choice D is incorrect as the gravitational potential energy does not instantly become zero but decreases gradually as the object falls.