Newton's First law - Dropping a feather and a hammer....

AI Thread Summary
In a vacuum, a feather and a hammer dropped simultaneously will land at the same time due to gravity acting equally on both, despite their different masses. The confusion arises from the relationship between force, mass, and acceleration, encapsulated in Newton's second law (F = ma). While the hammer has a greater force due to its mass, this is balanced by its greater inertia, resulting in the same acceleration for both objects. Understanding the distinction between weight and mass is crucial, as weight is the force due to gravity acting on mass. Ultimately, both objects experience the same gravitational acceleration, leading them to hit the ground simultaneously.
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<<Mentor note: Edited for language>>

1. Homework Statement

If I have a feather and a hammer and drop it at the same time from the same height (with out air resistance, so basically in a vacuum) Why would it land on the ground at the exact same time?

Homework Equations


F = ma

The Attempt at a Solution


My assumption is that with the equation posted above, which I think has nothing to do with why it drops at the same time, even though they both have different masses but the same acceleration.

- Also, would it accelerate because the only force is gravity (9.8)...but that's a force so would it be -9.8 = m*a ?

<<*edited*>> I'M SO CONFUSED

taking physics in college and I'm already in chapter 9 which is center mass and linear momentum, and just barely understanding force and motion which is chapter 5 while midterm is next tues <<*edited*>>
 
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copypacer said:

Homework Statement


If I have a feather and a hammer and drop it at the same time from the same height (with out air resistance, so basically in a vacuum) Why would it land on the ground at the exact same time?

Homework Equations


F = ma

The Attempt at a Solution


My assumption is that with the equation posted above, which I think has nothing to do with why it drops at the same time, even though they both have different masses but the same acceleration.

- Also, would it accelerate because the only force is gravity (9.8)...but that's a force so would it be -9.8 = m*a ?

I'M SO CONFUSED

taking physics in college and I'm already in chapter 9 which is center mass and linear momentum, and just barely understanding force and motion which is chapter 5 while midterm is next tues -.-
You probably need to review some basic concepts. What is meant by each of the following?

acceleration

acceleration due to gravity.

Weight (of an object)
 
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SammyS said:
You probably need to review some basic concepts. What is meant by each of the following?

acceleration

acceleration due to gravity.

Weight (of an object)

And you might want to edit your post just a bit to remove what might be considered offensive.
a feather and a hammer or anything heavier will have a different mass compared to the feather. Acceleration is 9.8 but the forces will be different because of different masses, basically i still don't see how they will end up on the ground at the same time due to different forces and different masses
 
copypacer said:
a feather and a hammer or anything heavier will have a different mass compared to the feather. Acceleration is 9.8 but the forces will be different because of different masses, basically i still don't see how they will end up on the ground at the same time due to different forces and different masses
If acceleration is the same, and the initial velocity is the same, then the motion is the same, Right?
 
SammyS said:
If acceleration is the same, and the initial velocity is the same, then the motion is the same, Right?

Right, but I thought the time it would get there would be different because the hammer would have a greater force because of its greater mass.

My guess is that because the hammer has a greater mass, that mass compensates for the greater force and essentially, the ratio of Force to mass is the same as for the feather. The ratio of force to mass which is acceleration is the same for the hammer as for the feather and that is why both of them land at the same time.
 
copypacer said:
Right, but I thought the time it would get there would be different because the hammer would have a greater force because of its greater mass.

My guess is that because the hammer has a greater mass, that mass compensates for the greater force and essentially, the ratio of Force to mass is the same as for the feather. The ratio of force to mass which is acceleration is the same for the hammer as for the feather and that is why both of them land at the same time.
Right. The ratio of force to mass is the same for both.
 
SammyS said:
You probably need to review some basic concepts. What is meant by each of the following?

acceleration

acceleration due to gravity.

Weight (of an object)
When you said "weight" do you mean mass?...but then again this is in respect to gravity right? confused
 
copypacer said:
When you said "weight" do you mean mass?...but then again this is in respect to gravity right? confused
copypacer said:
When you said "weight" do you mean mass?...but then again this is in respect to gravity right? confused
No. Look in your textbook or notes for the definition of weight.

Weight is not the same as mass.
 
I have a question... isn't this more of a kinematics problem than a F=ma problem?
 
  • #10
SammyS said:
No. Look in your textbook or notes for the definition of weight.

Weight is not the same as mass.
I know, weight has to do with gravity, BUT, we still call it mass because we need the measurement of matter in the object and than calculate the gravity in order to find the force.Also, if I wanted to find what my mass is, do I just divide my weight by 9.8?
 
  • #11
copypacer said:
I know, weight has to do with gravity, BUT, we still call it mass because we need the measurement of matter in the object and than calculate the gravity in order to find the force.Also, if I wanted to find what my mass is, do I just divide my weight by 9.8?
Mass is a measure of an objects inertia.

Gravity is the force exerted on an object due to gravity.

An isolated object that is not in any gravitational field still has mass. The mass of that object is the same no matter how much gravity is present.
 
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