Newton's third law and weight

In summary, Newton's third law states that for every action, there is an equal and opposite reaction. This principle applies to weight, which is the force exerted by gravity on an object. When an object exerts a downward force due to its weight, the ground or surface it rests on exerts an equal and opposite upward force, demonstrating the interaction between gravitational force and normal force.
  • #1
hello478
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Homework Statement
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Relevant Equations
newtons 3rd law...
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my answer was B
because wont it B be as its the normal reaction force? due to the newtons 3rd law??
correct answer is A...
 
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  • #2
No, W and B are not a 3rd law pair. Two forces being a third law pair means that they are forces between two objects - one the force from the first object on the second and the other the force from the second on the first. W is the force of gravity on the box exerted by the Earth. B is the contact force from the Earth's surface exerted on the box.
 
  • #3
Orodruin said:
Two forces being a third law pair means that they are forces between two objects - one the force from the first object on the second and the other the force from the second on the first. W is the force of gravity on the box exerted by the Earth. B is the contact force from the Earth's surface exerted on the box.
w= is by box on earth
b= by earth on box
so...?
 
  • #4
B = the force exerted by the surface of the Earth on the box.
W = the force exerted by the entire Earth on the box.

If there were a hole at B, i.e. no surface, the box will fall in and get closer to the center of the Earth because W is still acting on the box.

This explains, among other things, which coins dropped down a wishing well end up at the bottom of the well where there is a firm surface.
 
  • #5
So, if the box is in freefall, why is it called weightless?
 
  • #6
PeroK said:
So, if the box is in freefall, why is it called weightless?
Because it does not exert a force on a spring scale that is not at rest under it.:oldsmile:
 
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  • #7
kuruman said:
Because it does not exert a force on a spring scale that is not at rest under it.:oldsmile:
He just grinned and shook my hand. "No", was all he said!
 
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  • #8
kuruman said:
B = the force exerted by the surface of the Earth on the box.
W = the force exerted by the entire Earth on the box.
This.

My usual example is to imagine pushing with your hand on top of the box. The weight and the normal force from the Earth on the box are no longer of the same magnitude so they cannot possibly be a 3rd law pair.
 
  • #9
kuruman said:
B = the force exerted by the surface of the Earth on the box.
W = the force exerted by the entire Earth on the box.
Two equal and opposite forces on the same object that result in a stationary object remaining stationary are what I like to call a "second law pair". The net force is zero, so the acceleration is zero by ##F=ma##.
 
  • #10
hello478 said:
w= is by box on earth
b= by earth on box
Also, this is simply wrong. Both W and B are forces from the Earth on the box (with the further subdivision into Earth surface/entire Earth given above). W is the gravitational force of the Earth on the box, not the gravitational force of the box on the Earth.
 
  • #11
hello478 said:
my answer was B
because wont it B be as its the normal reaction force? due to the newtons 3rd law??
correct answer is A...
Others have explained why W and B are not a second law pair. There is also clue in the question: "forces of the same type". The type distinction being made here is gravitational forces versus contact forces.
 
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  • #12
Orodruin said:
My usual example is to imagine pushing with your hand on top of the box. The weight and the normal force from the Earth on the box are no longer of the same magnitude so they cannot possibly be a 3rd law pair.
That's another good way to put it. In everyday life, a bathroom scale "measures your weight". In the physics classroom it measures the normal force exerted on its top surface when the scale is at rest with respect to the center of the Earth.
 
  • #13
kuruman said:
That's another good way to put it. In everyday life, a bathroom scale "measures your weight". In the physics classroom it measures the normal force exerted on its top surface when the scale is at rest with respect to the center of the Earth.
Or, slightly more precisely, the normal force exerted on its top surface when its base remains at rest with respect to the rotating frame in which the Earth is stationary.
 
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  • #14
hello478 said:
my answer was B
because wont it B be as its the normal reaction force? due to the newtons 3rd law??
No. W and B act on the same object so they can't be a third-law pair.

W is the gravitational force exerted on the box by Earth.

A is the gravitational force exerted on Earth by the box.
 

FAQ: Newton's third law and weight

What is Newton's third law of motion?

Newton's third law of motion states that for every action, there is an equal and opposite reaction. This means that if one object exerts a force on another object, the second object exerts a force of equal magnitude but in the opposite direction on the first object.

How does Newton's third law relate to weight?

Weight is the force exerted by gravity on an object, and according to Newton's third law, the object also exerts an equal and opposite force on the Earth. This means that while we feel the force of gravity pulling us down, the Earth is also being pushed upward by the same amount of force.

Can you give an example of Newton's third law in action regarding weight?

Yes! When a person stands on a scale, their weight exerts a downward force on the scale due to gravity. In response, the scale exerts an equal upward force on the person. This is why the scale shows a reading of the person's weight, as it measures the force exerted against it.

Does weight change with location, and how does that relate to Newton's third law?

Yes, weight can change with location due to variations in gravitational force. For instance, a person weighs less on the Moon than on Earth because the Moon's gravitational pull is weaker. However, regardless of where you are, the action-reaction pairs described by Newton's third law still hold true; the person still exerts a force on the Moon equal to their weight.

How does understanding Newton's third law help in understanding weight distribution in structures?

Understanding Newton's third law helps engineers and architects design structures that can effectively distribute weight. For example, when a load is placed on a beam, the beam must exert an equal and opposite force to support that load. This principle is crucial in ensuring that buildings and bridges can withstand the forces acting on them without collapsing.

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