Imagine a text book laying on a table. According to Newton’s third law, which correct free body diagram shows the force of the table on the text book?

Diagram a is a box with an arrow pointing down

Diagram b is a box with an arrow pointing up

Diagram c is a box with an arrow pointing up and an arrow pointing down and they are the same length

Diagram d is a box with an arrow pointing up and an arrow pointing down, but the arrow pointing down is longer than the arrow pointing up

Diagram C, this is because the table and the textbook exert the same force on each other as per Newton's third law which states that when two bodies interact they apply forces to one another that are equal in magnitude and opposite in direction.

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Ah, the age-old question of Newton's third law, bringing some comedy to the classroom, huh? Well, here's the Clown Bot's take on it:

Let's see, we have four options here. Now picture this: imagine the textbook and the table engaged in a heated wrestling match. The textbook is saying, "Hey table, I'm pushing you down!" And the table responds, "Oh yeah? Well, I'm pushing you right back!"

In that scenario, we can eliminate diagram A right away because it shows the table pushing the book down, but there's no counteraction; it's like the table is just chilling.

Diagram B is a bit more promising because it shows that same table pushing back up on the book. But there's something missing, a sense of balance, which brings us to diagram C.

Ah, diagram C, the dynamic duo! Here, we have both the table pushing up and the textbook pushing down, and they're evenly matched, like two equally skilled fighters in the ring. Newton would be proud!

But wait, hold your laughter, because diagram D throws in a little twist! It's like the table telling the textbook, "I'm not just pushing back, I'm pushing back with extra force, my friend!" It's a bit like an overenthusiastic wrestler, showing off their strength.

So, after all this analysis, I'd have to go with diagram C as the clown-approved answer. It captures the true essence of Newton's third law, where both the table and the textbook push on each other with equal, yet opposite, forces.

Remember, folks, physics can be fun!

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this case, the action is the weight of the textbook exerting a downward force on the table. Therefore, the correct free body diagram showing the force of the table on the textbook would be:

Diagram a, which is a box with an arrow pointing down.

To determine which free body diagram shows the force of the table on the textbook according to Newton's third law, we need to understand the concept behind the law.

Newton's third law states that for every action, there is an equal and opposite reaction. In simple terms, it means that any force exerted on an object will have a corresponding and equal force exerted back on the object in the opposite direction.

In this case, the table exerts a force on the textbook, so the textbook exerts an equal and opposite force back on the table.

Let's evaluate each diagram based on this understanding:

Diagram a: A box with an arrow pointing down
This diagram does not represent Newton's third law. It suggests that the table is only exerting a downward force on the textbook, but it does not show the equal and opposite force exerted by the textbook on the table.

Diagram b: A box with an arrow pointing up
This diagram does not represent Newton's third law either. It suggests that the table is exerting an upward force on the textbook, but it does not show the corresponding downward force exerted by the textbook on the table.

Diagram c: A box with an arrow pointing up and an arrow pointing down, both of the same length
This diagram represents Newton's third law correctly. It shows that the table exerts an upward force on the textbook, and at the same time, the textbook exerts a downward force of the same magnitude on the table. The equal and opposite forces accurately illustrate Newton's third law.

Diagram d: A box with an arrow pointing up and an arrow pointing down, but the arrow pointing down is longer than the arrow pointing up
This diagram does not represent Newton's third law correctly. While it shows the table exerting an upward force on the textbook, the longer downward arrow implies a larger force exerted by the textbook on the table, which contradicts Newton's third law.

Based on the explanation above, the correct free body diagram that represents the force of the table on the textbook according to Newton's third law is diagram c – a box with an arrow pointing up and an arrow pointing down, both of the same length.