This question tests how to analyze a two-mass rope system with one mass on a frictionless table. Write Newton’s second law for both masses and use the fact the rope has the same tension throughout. For the mass on the table, the only horizontal force is the tension, so T = m1 a. For the hanging mass, the downward weight minus the tension equals its mass times acceleration: m2 g − T = m2 a. Substitute T = m1 a into the second equation: m2 g − m1 a = m2 a, which gives a = m2 g / (m1 + m2). Plug in m1 = 2 kg, m2 = 3 kg, and g ≈ 9.8 m/s^2: a = (3 × 9.8) / (2 + 3) = 29.4 / 5 ≈ 5.88 m/s^2. Tension follows from T = m1 a = 2 × 5.88 ≈ 11.76 N. So the acceleration is about 5.88 m/s^2 and the tension about 11.76 N. The hanging mass accelerates downward while the table mass moves horizontally to the right.

Centripetal force is not a separate, new force. It is the net inward pull toward the center that keeps an object moving in a circle, arising from real forces such as tension, gravity, or friction. The inward components of these real forces add up to provide the centripetal effect, with magnitude m v^2 / r, directed toward the center. So the best description is that the centripetal force is the net inward component of real forces toward the center. This isn’t a distinct force of its own, and it isn’t caused by a centrifugal force (which is a fictitious force that appears only in rotating frames). It also isn’t always equal to gravity alone—gravity can provide the inward pull in some cases, but other forces can contribute as well, or gravity may be absent, depending on the situation.

When a rocket blasts off, the engine ejects exhaust gases backward at high speed. The gas experiences a backward force, and, in response, the rocket experiences an equal and opposite forward force. This action-reaction pair creates thrust, the push that propels the rocket upward. Gravity is pulling downward, and the rocket accelerates upward only when the thrust (the reaction to throwing the gas backward) exceeds the weight, but the essential idea is Newton's third law: for every action there is an equal and opposite reaction.

Acceleration is how quickly velocity changes, and Newton’s second law gives a = Fnet / m. If the mass is held constant and you increase the net force, the ratio Fnet/m becomes larger, so the acceleration increases. In other words, pushing harder on the same object makes it speed up faster. If the mass were larger, the same push would produce a smaller acceleration; if there were no net force, acceleration would be zero. But with a bigger net force and fixed mass, acceleration indeed increases.