I What is the minimum force required to lift an object?

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A person weighing 60 kg exerts a force on a scale, which reads 600 N due to gravity. When the person pushes down with an additional force, the scale reflects this increased force, indicating a total of 600 + x N. For the person to lift off the scale, the total upward force must exceed 600 N, which occurs when the scale pushes up with a force greater than the weight. The discussion highlights the distinction between total applied force and net force, emphasizing that a net upward force is necessary for acceleration. Misunderstandings about energy conservation and force application are addressed, clarifying that a small additional force can still result in upward motion if it contributes to a net force greater than zero.
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A person stands on a scale. The scale reads his mass 60 kg . Now this human moves up his body short distance like someone tries to pick a fruit from a tree. The scale will start to increase by small forces x N in which the total read of the scale is 600+x N *. The force he exerts on the scale is x N. The force the scale pushes him up is also x N two forces in opposite directions. The force that lifts his body is the force the scale pushes him up which turned out to be the x N.

For a force to lift an object the force must be slightly greater than the object's weight or greater than 600 N . The force which lifted the human is x N which is far less than his weight 600 N.

*The scale shows mass 60 kg I converted it to force 600 N , force= mass* gravity acceleration gravity acceleration is 10 m/s^2

Does the x N which is less than 600 N lift the person? The x must be greater than 600 N. In fact the x is a very small force.
 
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I think you can probably figure out the error in your reasoning g here - evidence tells you the answer so your premise has to be wrong...right?

What does f=ma tell us?
 
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russ_watters said:
What does f=ma tell us?
What the experiment tells?
 
Yahya Sharif said:
What the experiment tells?
It sounds like maybe you need to go back to the more basic scenario. Consider when the person is just standing on the scale doing nothing. He is not exerting any additional downward force using his legs.

In this situation, the person is in equilibrium (motionless and unaccelerated) despite gravity pulling downward on him. So does the scale push upwards on him in this scenario? If so, by how much does it push upward on him?
 
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LastScattered1090 said:
In this situation, the person is in equilibrium (motionless and unaccelerated) despite gravity pulling downward on him. So does the scale push upwards on him in this scenario? If so, by how much does it push upward on him?
When at equilibrium the body acts on the scale by the weight 600 N and the scale pushes up the body with an equal normal force 600 N then no acceleration.

When I push the scale by x I increase the force on the scale to be my weight 600 plus the force I pushed the scale with or 600+x N, the scale will instantly read it.

So I exert extra x , this extra x is a net force that accelerates my body upwards, then x N accelerates a 60 kg body against gravity even though the x is very smaller than the weight 600 N.
 
Yahya Sharif said:
When at equilibrium the body acts on the scale by the weight 600 N and the scale pushes up the body with an equal normal force 600 N then no acceleration.

When I push the scale by x I increase the force on the scale to be my weight 600 plus the force I pushed the scale with or 600+x N, the scale will instantly read it.

So I exert extra x , this extra x is a net force that accelerates my body upwards, then x N accelerates a 60 kg body against gravity even though the x is very smaller than the weight 600 N.
Basically, you continue to confuse net force with total applied upward force in this scenario. You acknowledge that the scale pushes up with 600 N in the static scenario, so why are you having so much trouble acknowledging that it pushes upward with (600+x) N (which is a force unequivocally greater than the weight) in the dynamic scenario?

The net force is then
F_up - F_down = (600 + x) - 600 = x

The fact that this value is "much smaller than" the weight is irrelevant, because we've already subtracted out the weight, leaving the net (meaning the completely unopposed) upward force remaining.

An unopposed upward force of x Newtons will produce an acceleration of (x/60) m/s².
 
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LastScattered1090 said:
The fact that this value is "much smaller than" the weight is irrelevant, because we've already subtracted out the weight, leaving the net (meaning the completely unopposed) upward force remaining.

An unopposed upward force of x Newtons will produce an acceleration of (x/60) m/s².
This violates the law of conservation of energy.
If you say I can use an x let's say 10 N to accelerate a 60 kg body one meter against gravity then the body can return back with force 600 N" the gravity weight " one meter, in such case I will do work " 10*1=10 Joules" far less than the work I get " 600*1=600 Joules"
The law is only conserved if I lift with force slightly greater than the weight. x=600 N , work1=600 Joules, mass return with weight 600 N work2=600 Joules work1=work2
 
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Yahya Sharif said:
This violates the law of conservation of energy.
If you say I can use an x let's say 10 N to accelerate a 60 kg body one meter against gravity then the body can return back with force 600 N" the gravity weight " one meter, in such case I will do work " 10*1=10 Joules" far less than the work I get " 600*1=600 Joules"
The law is only conserved if I lift with force slightly greater than the weight. x=600 N , work1=600 Joules, mass return with weight 600 N work2=600 Joules work1=work2
No, the Conservation of Energy is not being violated here. Over a vertical displacement of 1 metre, the gravitational force does -600 Nm of work, while the applied lifting force does +(600 + x) Nm of work. This means that the total work done of +x Nm is exactly the amount of kinetic energy you should have at the end of your leg movement.

I emphasized the most important words in your reply above: "I lift". Yes, you (or whatever is pushing upward, i.e. the scale in this case) has to lift with a force greater than the weight. But this does not mean that the net upward force must be greater than the weight. That's your fundamental misconception here. The net force and the applied lifting force are not the same thing. In order for an object to accelerate in a certain direction, the net force in that direction must be non-zero. Period. That's Newton's Second Law. When considering vertical forces in a gravitational field, there is always a downward force of mg. As a consequence, the only way to achieve a non-zero net upward force is that any applied upward forces must total to greater than mg, so that the balance (net) is non-zero upward.

In summary:

(total applied upward force) > weight
and
(net upward force) > 0

are two different ways of stating the same requirement here. Don't confuse them.
 
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LastScattered1090 said:
This means that the total work done of +x Nm is exactly the amount of kinetic energy you should have at the end of your leg movement.
If my kinetic energy at the top is +x Joules, how it is possible that I store back a potential energy of -600 Joules? It is the same issue of violating the law of conservation of energy.
 
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  • #10
If it takes 600N to hold a weight up without rising or falling, what happens if you apply 700N instead of 600 ? What if you apply 500N instead of 600N ?

If there's a 100N weight on top of the table, how many N is it going to require to lift it vertically off the table ? 1N or 101N ?
 
  • #11
hmmm27 said:
If it takes 600N to hold a weight up without rising or falling, what happens if you apply 700N instead of 600 ? What if you apply 500N instead of 600N ?
If you you apply 700 N it will rise, if you apply 500 N it will remain.
hmmm27 said:
If there's a 100N weight on top of the table, how many N is it going to require to lift it vertically off the table ? 1N or 101N ?
You need a force greater than 100 N.
 
  • #12
Yahya Sharif said:
If you you apply 700 N it will rise, if you apply 500 N it will remain.
Your physics math needs work.

You need a force greater than 100 N.
But, by your apparent logic, the object is already applying a force of 100N to the table, so you only need pull/push it up with a small amount, say 1N
 
  • #13
Yahya Sharif said:
If my kinetic energy at the top is +x Joules, how it is possible that I store back a potential energy of -600 Joules? It is the same issue of violating the law of conservation of energy.
First of all, this line of reasoning is irrelevant to the question you asked about forces. The question about forces has been asked and answered. If you take the time to consider my answer, you'll see it must be correct. Thus, any counterarguments you come up with against it (based on energy arguments or whatever) must be flawed too.

Second, the x Nm of energy didn't just come out of nowhere. Your body converted internally-stored chemical energy into mechanical energy in order to get your muscles to move in the first place.

The 1 m of displacement is just the amount of vertical rise that we are assuming happens while the upward force is being applied (i.e. while you are pushing off from the ground). But once you've finished propelling yourself, remember what I said above? You now have kinetic energy! Which means you'll continue to move upwards. Beyond the initial height of 1 m. If you continue to move upwards, gravity will do even more negative work, resulting in even more increase in potential energy.
 
  • #14
hmmm27 said:
But, by your apparent logic, the object is already applying a force of 100N to the table, so you only need pull/push it up with a small amount, say 1N
It will not move by applying 1 N force because I can do a simple experiment by hanging the object on a scale and lift the scale slowly measuring the minimum force to lift it with, which will turn out to be greater than 100 N. Both are separate experiments.
 
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  • #15
LastScattered1090 said:
First of all, this line of reasoning is irrelevant to the question you asked about forces. The question about forces has been asked and answered. If you take the time to consider my answer, you'll see it must be correct.
Energy is also an issue. If a smaller force x N used to lift a bigger 60 kg body I will exert small input energy to get greater output potential energy which violates the law of conservation of energy as in the previous posts.
 
  • #16
Yahya Sharif said:
Energy is also an issue. If a smaller force x N used to lift a bigger 60 kg body I will exert small input energy to get greater output potential energy which violates the law of conservation of energy as in the previous posts.
If you apply 101N through to lift your mass 1m, then 100J will be added to the potential energy (because the gravitational force does -100J of work on the mass) and 1J to kinetic energy. There is no energy conservation problem here.
 
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  • #17
Ibix said:
If you apply 101N through to lift your mass 1m, then 100J will be added to the potential energy (because the gravitational force does -100J of work on the mass) and 1J to kinetic energy. There is no energy conservation problem here.
Exactly, and this is something which I already said way back in post #8. I think this thread might not be going anywhere..
 
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  • #18
LastScattered1090 said:
Exactly, and this is something which I already said way back in post #8. I think this thread might not be going anywhere..
Let's hope the silence means OP is thinking about what's been written, rather than arguing that well-tested theories don't work for simple problems.
 
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  • #19
How a person of 60 kg can jump high and fast against gravity with his only leg muscles while he will barely move a rock of 60 kg with his all body muscles? He uses small force x N to lift his body and a small force to jump.
 
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  • #21
Yahya Sharif said:
How a person of 60 kg can jump high and fast against gravity with his only leg muscles while he will barely move a rock of 60 kg with his all body muscles? He uses small force x N to lift his body and a small force to jump.
This happens because we lift a weight with the muscles of our hands + arms + muscles of our middle which are not so strong as the muscles of our legs.

When you want to do big damage to something you hit it with your leg not your hand or middle !
 
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  • #22
Delta2 said:
This happens because we lift a weight with the muscles of our hands + arms + muscles of our middle which are not so strong as the muscles of our legs.

Hence the saying "lift with your legs"

Delta2 said:
When you want to do big damage to something you hit it with your leg not your hand or middle !

Never skip legday bro
 
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  • #23
Delta2 said:
This happens because we lift a weight with the muscles of our hands + arms + muscles of our middle which are not so strong as the muscles of our legs.
He cannot lift the rock with all muscles including his legs. Think of someone lying on the floor pushing a rock by his hands and pushing a wall by his feet to move the rock. He will hardly be able to overcome its friction let alone lifting it.
The difference is also big. What force I need to throw the rock in air like my body?! perhaps I will need hundreds times of my body force to through a rock. Jumping also needs smaller energy I can jump many times.
But think of the energy needed to throw a rock of 60 kg in air several times! Is that possible with hundreds times energy of my body?!
 
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  • #24
Yahya Sharif said:
He cannot lift the rock with all muscles including his legs.

You do realize that he does not just have to lift the stone, but also his entire body, with those skinny legs?

This is why squats with just your body weight is a good beginner exercise before you start with a bar on your neck! If you can't even squat your body weight, no need to buy an expensive gym membership!

Seriously, what is it that you really have a hard time to understand? How a person can jump or what?
 
  • #25
@Yahya Sharif you got some sort of intuitive reasoning however it has some serious flaws which me and other members have highlighted but you keep insisting. I think no matter how I insist too you will not accept your flaws. So goodbye from me.
 
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  • #26
Yahya Sharif said:
How a person of 60 kg can jump high and fast against gravity with his only leg muscles while he will barely move a rock of 60 kg with his all body muscles? He uses small force x N to lift his body and a small force to jump.
Because 60+60=120 and 120 is a lot bigger than 60.
 
  • #27
Yahya Sharif said:
This violates the law of conservation of energy.

We do have chemical energy stored in our bodies. In the muscles we have glycogen, also we have fat stored - but not me because I am ripped to the bonez working out at the gym 2 h everyday before I hit my math books for some brain gainz. Food is a vital component for your health and brain power. Eat lots of whole foods like fruit and salmon, stay away from starbucks and pizza hut - unless it is legday, then everything is allowed
 
  • #28
Yahya Sharif said:
He cannot lift the rock with all muscles including his legs. Think of someone lying on the floor pushing a rock by his hands and pushing a wall by his feet to move the rock. He will hardly be able to overcome its friction let alone lifting it.
You are not comparing like-with-like, The strong muscles in legs can easily move heavy objects, e.g. watch this:
 
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  • #29
Where did russ_watters said this? Aren't you misquoting him?
 
  • #30
russ_watters said:
Because 60+60=120 and 120 is a lot bigger than 60.
The difference is big. What force I need to throw a rock of 60 kg in the air? what force of my legs I need to throw my body 60 kg jumping? The force I need to throw the rock is hundreds times the force I need to jump even though the body and the rock are of the same mass.
 
  • #31
Yahya Sharif said:
A person stands on a scale. The scale reads his mass 60 kg . Now this human moves up his body short distance like someone tries to pick a fruit from a tree. The scale will start to increase by small forces x N in which the total read of the scale is 600+x N *. The force he exerts on the scale is x N. The force the scale pushes him up is also x N two forces in opposite directions. The force that lifts his body is the force the scale pushes him up which turned out to be the x N.

This passage is confusing to me. When he moves up his body he will no longer be in contact with the scale and it will read zero. If, on the other hand he grabs a branch of the tree and pulls upward while still in contact with the scale, the reading on the scale will decrease. If instead he pushes upward on the tree branch the reading on the scale will increase.

Let's say the scale reads Newtons. If he pushes upward on the tree branch with a force of x, then the reading on the scale will be 600 N + x.

You can confirm all this for yourself. Place a bathroom scale on the floor next to a table. Stand on the scale. If you push down on the table with your hand the reading on the scale will decrease.
 
  • #32
hmmm27 said:
If there's a 100N weight on top of the table, how many N is it going to require to lift it vertically off the table ?
100 N. Once you apply the force of 100 N in the upward direction, the force exerted on the table top by the object you're lifting is zero. The net force exerted on the object is zero (100 N weight force downward and 100 N force pulling upward). Thus the object will either be at rest or move with a steady speed.

You can try this for yourself. Use a scale that you hang things from to weigh them. Set an object on the table top, attach the scale to it, and lift by pulling upward on the scale. You will find that the minimum force needed to lift it is equal to the object's weight.
 
  • #33
Mister T said:
This passage is confusing to me. When he moves up his body he will no longer be in contact with the scale and it will read zero. If, on the other hand he grabs a branch of the tree and pulls upward while still in contact with the scale, the reading on the scale will decrease. If instead he pushes upward on the tree branch the reading on the scale will increase.

Let's say the scale reads Newtons. If he pushes upward on the tree branch with a force of x, then the reading on the scale will be 600 N + x.

You can confirm all this for yourself. Place a bathroom scale on the floor next to a table. Stand on the scale. If you push down on the table with your hand the reading on the scale will decrease.
He moves his body up short distance with his feet and calves' muscles* while his toes touch the scale the heel moves up.
* by the way the calves' muscles are weak so they provide with this small x N and can't provide a 600 N force. I tried once to measure my calves' muscles force by lying and pressing a rope of a scale. My maximum calves' muscles force was 80 N. And of course I lift my body comfortably far lesser than 80 N.
 
  • #34
Yahya Sharif said:
How a person of 60 kg can jump high and fast against gravity with his only leg muscles while he will barely move a rock of 60 kg with his all body muscles? He uses small force x N to lift his body and a small force to jump.
When I used to go to the gym I could pull down 60kg with my arms and shoulders. I could repeat that up to12 times.

It might be awkward to move a large stone because of its shape, but if you put it on a carriage on wheels or rails, then it's easily movable with a small force.

To be honest, you are not really using physics here in this thread, but a manic misrepresentation of physics. Instesd of insisting that your alternative theories are correct, you should stay calm and learn!
 
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  • #35
Yahya Sharif said:
The difference is big. What force I need to throw a rock of 60 kg in the air? what force of my legs I need to throw my body 60 kg jumping?
Throwing is a lot different from lifting and carrying. To lift and carry you are carrying the rock plus your weight. Throwing requires significant additional force to accelerate the rock. Our bodies are not made for accelerating large objects like that: our arms are much weaker than our legs. [edit] corrected.
Yahya Sharif said:
The force I need to throw the rock is hundreds times the force I need to jump even though the body and the rock are of the same mass.
Hundreds of times? Nonsense. The forces applied two two 60 kg objects to get the same result must be exactly the same. It's just (again) our bodies aren't built for throwing 60 kg rocks. But if you lie on your back and can shove the rock with your legs, you might get a similar result to jumping (sending it maybe half a meter to a meter in the air). This force might be several times your weight.

You are frequently changing scenarios here, and I think you are confusing yourself. You should focus on fully understanding one well defined scenario at a time. Unless this is all a tactic for being argumentative...
 
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  • #36
russ_watters said:
Our bodies are not made for accelerating large objects like that: our legs are much weaker than our arms.
How I accelerate a 60 kg body against gravity that high when jumping?I can do jumping with arms upside down and with legs.
 
  • #37
Yahya Sharif said:
I can do jumping with arms upside down and with legs.
Pics or it didn't happen!

Yahya Sharif said:
What force I need to throw a rock

You have to train your upper-body muscles too you know, don't be that guy who lives in the squat rack! Give those pecs, delts and triceps some love! Often neglected when it comes to building a physique which can throw 60 kg stones like the newspaper delivery boy does with his paper dumbells - core and forearm strength! The plank exercise is good, try to use a friend if you have any (I don't) who can sit on your back while performing it.
russ_watters said:
our legs are much weaker than our arms.

Stop skipping legday, you are supposed to squat in the squat-rack not performing biceps curls
 
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  • #38
Yahya Sharif said:
How I accelerate a 60 kg body against gravity that high when jumping?I can do jumping with arms upside down and with legs.
FYI, I said that backwards. Obviously its our legs that are much stronger than our arms. Anyway, you can easily do the math on this if you want. It's a fairly simple problem to calculate the force over distance required to jump a certain height. We've done it recently, modeling the legs as a spring (but personally I think it's probably more accurate as a constant force over distance). And if you have ever done or watched weightlifting, you'll know that people routinely lift 2-5 times their weight (including their body itself) with their legs. That's the range of force we're talking about.
 
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  • #39
Yahya Sharif said:
He moves his body up short distance with his feet and calves' muscles* while his toes touch the scale the heel moves up.
* by the way the calves' muscles are weak so they provide with this small x N and can't provide a 600 N force.
If his feet are still in contact then all of my post, except for the first two sentences, are still valid. My points are that you are making a sign error as well as other errors.
 
  • #40
Sorry I meant in my #36 post that I disagree with russ_watters, he says humans cannot accelerate large objects like rocks but I see that I can accelerate my large body very high by jumping using only leg muscles.
 
  • #41
Yahya Sharif said:
Sorry I meant in my #36 post that I disagree with russ_watters, he says humans cannot accelerate large objects like rocks...
I said no such thing. What are we doing here/what is the point of all this argumentation?
 
  • #42
Yahya Sharif said:
How I accelerate a 60 kg body against gravity that high when jumping?
Hold on tight to the 60-kg body when you jump. If you have a mass of 60 kg then when you jump you are accelerating a system whose mass is 120 kg. The system thus weighs 1200 N. If you exert a force upward whose magnitude is greater than 1200 N, the body will accelerate upward (against gravity, as you say).

This happens, for example, when a new spouse is carried across a threshold that requires a step up, assuming both you and your spouse each have a mass of 60 kg.

Note that you can cheat a bit on this by lowering the body or parts of your body a bit during the jump, which is why I said "hold on tight". We are essentially assuming our system is a particle.
 
  • #43
Mister T said:
100 N. Once you apply the force of 100 N in the upward direction, the force exerted on the table top by the object you're lifting is zero. The net force exerted on the object is zero (100 N weight force downward and 100 N force pulling upward). Thus the object will either be at rest or move with a steady speed.

You can try this for yourself. Use a scale that you hang things from to weigh them. Set an object on the table top, attach the scale to it, and lift by pulling upward on the scale. You will find that the minimum force needed to lift it is equal to the object's weight.
That was a question for the OP, but thanks for caring :smile:
 
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  • #44
hmmm27 said:
That was a question for the OP
I disagree. Let's say I applied a 50 N on the object it will not move and while I increase the force it will still remain. When I reach the 100 N it will still remain because the net force I apply is zero So I need to go beyond the 100 N by any force greater than 100 N to lift the object. The force is actually the smallest number greater than 100 N which is actually cannot be determined so when using the scale you cannot know whether the force is 100 N or greater because any force like 100.000001 N can cause non-zero net force and lift the object.
 
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  • #45
Observations:

To lift a rigid object of mass ##m## off the ground, you must apply a force greater than ##mg##.

A rigid object cannot jump.

A human body with a muscle system that can release energy can jump. Although not from a standing position. One must bend the knees.

From the energy perspective the released energy must go to kinetic energy of the body, given the constraint of initially being in contact with the ground.

The muscles act so as to maintain a force against the ground even when the body Is accelerating upwards. That is the critical biomechanical difference between a human and a rigid body: the legs are still pushing on the ground during acceleration.
 
  • #46
If the force exerted by the feet, flat on the ground is 600N, then

to raise the body upwards - to stand on the toes - requires the ankles to supply a vertical force of >600N.
 
  • #47
Yahya Sharif said:
I can accelerate my large body very high by jumping using only leg muscles.
"Very high"? Typically less than 18 inches measured between standing and peak-of-arc centers of gravity.

Jumping over obstacles higher than this is possible because one's center of gravity starts two or three feet off of the floor, does not need to pass over the high jump bar and because high jumpers are more athletic than an average person.

Hurling a 60 kg rock to a height of 18 inches above my outstretched fingertips after having first picked it up from the ground and then having hoisted it over my head sounds like a rather more difficult task than jumping 18 inches.
 
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  • #48
jbriggs444 said:
"Very high"? Typically less than 18 inches measured between standing and peak-of-arc centers of gravity.
Sorry for my English. I meant very high amount of acceleration. I can somehow measure it by hitting a roof above my head which will give immense strike.
 
  • #49
Yahya Sharif said:
Sorry for my English. I meant very high amount of acceleration. I can somehow measure it by hitting a roof above my head which will give immense strike.
Typically less than one gee of vertical acceleration -- the distance that one crouches to make a jump is comparable to the height achieved as a result.

Measuring launch acceleration based on the pain endured in the resulting head strike is not widely regarded as an accurate technique.

By contrast, I would regard measurement based on the height of the ceiling above the height of the top of one's head as an accurate, albeit cumbersome technique. [Repeated jumps while slowly raising the ceiling until the head stops bonking].

1656705052975.png
 
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  • #50
jbriggs444 said:
By contrast, I would regard measurement based on the height of the ceiling above the height of the top of one's head as an accurate, albeit cumbersome technique. [Repeated jumps while slowly raising the ceiling until the head stops bonking].
A rare case where beating someone over the head with something might actually advance their understanding. Well played, sir!
 
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