What happens to the concentration of hydrogen ions (\([H^+]\)) in a solution as the pH increases?

Correct Answer: B

Rationale: Failed to generate a rationale of 500+ characters after 5 retries.

Correct Answer: A

Rationale: An increase in surface area typically increases the force of friction between two surfaces. This is because with a larger surface area in contact, there are more points of contact between the surfaces, leading to a greater frictional force resisting motion. As a result, the correct answer is that an increase in surface area increases the force of friction between two surfaces. Choice B is incorrect because a greater surface area increases the frictional force. Choice C is incorrect because an increase in surface area results in more contact points and greater friction. Choice D is incorrect as the relationship between surface area and friction is predictable - an increase in surface area generally leads to an increase in frictional force.

Correct Answer: A

Rationale: Mass is a measure of inertia. Inertia is the resistance of an object to changes in its state of motion, and mass quantifies this resistance. Objects with more mass have greater inertia, meaning they are more resistant to changes in their motion. Therefore, mass and inertia are directly related, with mass being a fundamental factor that determines the level of inertia an object possesses. Choice B is incorrect because mass and inertia are indeed related. Choice C is incorrect as inertia is not a measure of weight but rather a property related to an object's mass. Choice D is incorrect because inertia actually increases with increasing mass, not decreasing mass.

Correct Answer: B

Rationale: According to Newton's third law of motion, for every action, there is an equal and opposite reaction. When you push against a wall with a certain force, the wall will push back on you with an equal force in the opposite direction. Choice A is incorrect because the wall exerts an equal force back. Choice C is incorrect as it suggests a greater force, which goes against Newton's third law. Choice D is incorrect as the wall does exert a force back in response to your push.

Correct Answer: C

Rationale: Momentum is calculated as the product of an object's mass and its velocity. When the mass remains constant and the velocity doubles, the momentum will increase by a factor of 2 (doubling) due to the increase in velocity. Therefore, the momentum will quadruple (2 x 2 = 4) when the velocity doubles. This relationship between momentum and velocity showcases the direct proportionality of momentum to velocity, given a constant mass. Choices A, B, and D are incorrect. Momentum does not simply double or halve when the velocity doubles; it quadruples as it is directly proportional to the velocity. Hence, the correct answer is C, where momentum quadruples in this scenario.