A rock with a weight of 10 N is resting on a table.

In summary, the weight of the rock is 10 N and it is exerting a force in the downward direction due to gravity. The reaction force to this weight is a force of 10 N exerted by the table in the upward direction. However, the statement that the reaction force to the normal force of 10 N on the rock is a force of 10 N exerted by gravity in the downward direction is incorrect. The correct statement would be that the reaction force to the normal force is a force of 10 N exerted by the rock on the table in the downward direction. Additionally, according to Newton's Third Law, the reaction force to the 12 N force exerted by the hand on the rock would also be
  • #1
Dillion
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A rock with a weight of 10 N is resting on a table. A student makes a number of statements about this situation, are they right or wrong?

1. "The weight of the rock is a force of 10 N by gravity in the downward direction"
I don't see anything wrong with this.

2. "The reaction force to this weight is a force of 10 N exerted on the rock by the table in the upward direction"
I don't see anything wrong with this either.
3. "The normal force exerted on the rock by the table is a force of 10 N; the reaction force to this normal force is a force of 10 N exerted on the rock by gravity in the downward direction"
*Gravity does not exert 10 N of force on the rock. The rock is exerting a force of 10 N in the downward direction. The mass of the rock would be 10 = m (9.8) would be 1.02.
4. "If the 10 N rock is lifted off the table by a hand that exerts a force of 12 N upward on the rock, the reaction force to this 12 N force is a force of 10 N exerted on the hand by the rock in the downward direction"
I don't see anything wrong with this either...Please let me know if I'm right or missing any key concepts! Thank you so much!
 
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  • #2
For 3, why do you say that gravity does not exert 10 N of force on the rock?

For 4, what does Newton's 3rd law say about the magnitudes of action and reaction forces?
 
  • #3
Geofleur said:
For 3, why do you say that gravity does not exert 10 N of force on the rock?

For 4, what does Newton's 3rd law say about the magnitudes of action and reaction forces?

For 3, now I kind of think that the statement is right... because Gravity has an acceleration of 9.8 m/s squared, times the weight of the rock would be 10 N. So gravity in fact does exert a force of 10 N on the rock. Right?

For 4, Every action has an equal and opposite reaction! So the force exerted on the hand by the rock should be 12! So the statement is false.
 
  • #4
Regarding 3, the rock does indeed weigh 10 N, but there is still something not right. If there is a force on A due to B, then the reaction force must be a force on B due to A. Can you see the problem for this specific case?

Regarding 4, right!
 
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  • #5
Geofleur said:
Regarding 3, the rock does indeed weigh 10 N, but there is still something not right. If there is a force on A due to B, then the reaction force must be a force on B due to A. Can you see the problem for this specific case?

Regarding 4, right!

"The normal force exerted on the rock by the table is a force of 10 N; the reaction force to this normal force is a force of 10 N exerted on the rock by gravity in the downward direction"

should the ending be... "the reaction force to this normal force is a force of 10 N exerted on the TABLE by the ROCK in the downward direction." Gravity shouldn't even be in the sentence, correct?
 
  • #6
Right. While it is the force of gravity on the rock that causes the rock to exert a force on the table in the first place, it's the force of the rock on the table that completes the action-reaction pair.
 
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  • #7
Geofleur said:
Right. While it is the force of gravity on the rock that causes the rock to exert a force on the table in the first place, it's the force of the rock on the table that completes the action-reaction pair.
THANK YOU SO MUCH!
 

Related to A rock with a weight of 10 N is resting on a table.

1. What is the weight of the rock in newtons (N)?

The weight of the rock is 10 N.

2. What is the mass of the rock?

The mass of the rock cannot be determined based on the information given. Weight (measured in newtons) is a measure of the force exerted on an object due to gravity, while mass (measured in kilograms) is a measure of the amount of matter in an object. To determine the mass of the rock, we would need to know its density and volume.

3. What is the force exerted by the table on the rock?

The force exerted by the table on the rock is equal in magnitude and opposite in direction to the weight of the rock. Therefore, the force exerted by the table on the rock is also 10 N.

4. Why does the rock not fall through the table?

The table exerts an upward force on the rock that is equal in magnitude and opposite in direction to the force of gravity pulling the rock downward. These two forces cancel each other out, resulting in the rock remaining at rest on the table. This is also known as the normal force.

5. What happens to the weight of the rock if it is placed on a different planet?

The weight of the rock would change on a different planet because the force of gravity is different on each planet. Weight is directly proportional to the force of gravity, so if the force of gravity is stronger, the weight will be greater, and if the force of gravity is weaker, the weight will be less.

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