For the first question regarding Newton's Third Law, the correct answer is:
d: All of the above. Newton's Third Law states that for every action, there is an equal and opposite reaction. In each of the examples given:
- A horse pulling a horse cart involves the horse exerting a force on the cart and the cart exerting an equal and opposite force on the horse.
- A hammer striking a nail involves the hammer exerting a force on the nail while the nail exerts an equal and opposite force on the hammer.
- A soccer ball bouncing off a wall involves the ball exerting a force on the wall and the wall exerting an equal and opposite force on the ball.
For the second question regarding the rockets, the correct answer is:
c: One rocket engine produces more force than the other. According to Newton's second law of motion (F=ma), if both rockets have the same mass and one accelerates at a higher rate, it must produce a greater net force. The differences in fuel, streamlining, and design may also play a role, but the fundamental reason for the different acceleration is the difference in force produced by the engines.