A bike is hanging from a hook in a garage. Consider the following forces.

(a) The force of the Earth pulling down on the bike.
(b) The force of the bike pulling up on the Earth.
(c) The force of the hook pulling up on the bike.
(d) The force of the hook pulling down on the ceiling.

Which two forces are equal and opposite because of Newton's third law?

Which two forces are equal and opposite because of Newton's first law?

Do you have any thinking on this? the question is well stated.

for Newton's third law: i believe it would be the force of the hook on the bike and force of the bike pulling on the earth

and for second law:force of earth pulling down on bike and force of hook pulling down on ceiling..but im not too sure?

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. This means that whenever an object exerts a force on another object, the second object exerts an equal and opposite force back on the first object.

(a) The force of the Earth pulling down on the bike is an external force. It is the weight of the bike due to gravity and acts downward.

(b) The force of the bike pulling up on the Earth is negligible. Although the bike does exert a gravitational force on the Earth, it is extremely small compared to the Earth's mass, so it is often considered negligible.

(c) The force of the hook pulling up on the bike is the tension force in the rope or hook. It acts in the upward direction to counteract the weight of the bike.

(d) The force of the hook pulling down on the ceiling is also negligible. Similar to the previous case, the force exerted by the hook or rope on the ceiling is very small and can typically be ignored.

Now, let's determine the forces that are equal and opposite according to Newton's third law:

The answer is (c) The force of the hook pulling up on the bike and (d) The force of the hook pulling down on the ceiling. According to Newton's third law, these two forces are equal in magnitude but act in opposite directions.

As for the forces equal and opposite due to Newton's first law, it is important to understand that Newton's first law states that an object at rest or in uniform motion will remain in that state unless acted upon by an external force. None of the forces mentioned above are directly related to Newton's first law.