Help Tyler with 50M Joules - What Can It Do?

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Discussion Overview

The discussion revolves around the application of approximately 50 million joules of energy, specifically regarding its potential to move heavy objects, such as a 3-ton mass, and the optimal methods for utilizing this energy. Participants explore concepts related to energy, force, and motion within the context of classical physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Tyler inquires about the feasibility of using 50 million joules to move a heavy object, questioning whether it would be sufficient to shift a 3-ton mass a distance of six feet.
  • Some participants clarify that a joule is a unit of energy, not power, and emphasize the role of friction in determining the energy required to move an object.
  • There is a discussion on the relationship between kinetic energy and velocity, with references to the equation for kinetic energy and its implications for calculating speed based on energy input.
  • Participants express confusion over the dimensional consistency of equations presented, particularly regarding the units of velocity derived from energy equations.
  • One participant suggests that a rock of 3 metric tons traveling at 182 m/s possesses 50 million joules of energy, equating this speed to approximately half the speed of sound.
  • Another participant advises that when applying force to move heavy blocks, pushing horizontally and low on the block is more effective than other methods.
  • Concerns are raised about whether the amount of energy discussed could be considered dangerously excessive for certain applications.

Areas of Agreement / Disagreement

Participants generally agree on the definition of joules as a unit of energy and the importance of friction in moving objects. However, there is disagreement regarding the correctness of certain equations and their dimensional analysis, leading to confusion and differing interpretations of the calculations presented.

Contextual Notes

There are unresolved issues regarding the assumptions made in the calculations, particularly concerning the treatment of units in the equations discussed. The discussion also reflects varying levels of understanding among participants regarding the application of energy concepts in practical scenarios.

trexpederson
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To those who could help me out,

I'm pretty rusty with physics I thought maybe one of you energy specialists or physics prodigies could give me an estimate at what I'm looking at.

~50million jouhls
could be used for what kind of push or power would I get from this energy, would it be enough to move an heavy object or even give it enough power to move from a no motion, how much would I need to move 3 ton object from standstill to six feet away or would the jouhls burn out and not get the object an inch.

Would I get a better result by spreading out the jouhls around one side of my object or focusing the energy in the middle or mid low mid high separation? Whats the best way to get the most punch and power in my placement of this energy is my question.
Would that much power be dangerously overkill?

And just for anyone who might know, where would I find books on mechanical engineers, organic chemistry and controlling highly compressed gas safely.

Thank you guys,
Tyler P.
 
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Joule is a unit of energy. It is not an object you can move around (or throw away), and it is not power.

The energy required to move a mass a certain horizontal distance depends on friction.This is certainly not particle physics, I moved your thread to classical physics.
 
trexpederson said:
~50million jouhls
could be used for what kind of push or power would I get from this energy, would it be enough to move an heavy object or even give it enough power to move from a no motion, how much would I need to move 3 ton object from standstill to six feet away or would the jouhls burn out and not get the object an inch.

Well, a joule is a unit of energy, as mfb pointed out. The joule has the units kg*m2*s-2.

The force required to move an object depends on the friction force that is opposing it. If you had a 10 kg mass in isolated space (no external forces), it would accelerate due to the smallest possible force, given by ##\frac{F}{m}=a##.

Now a CHANGE in energy, such as ##\Delta KE## is the work. If you did 5.0 X 107 joules of work on a mass ##m##, starting at rest, it would have velocity ##v=10^4 \frac{1}{\sqrt{m}}## from the work integral ##\int^b _a \vec{F}(\vec{r}) \cdot d \vec{r} = \Delta KE##
 
Astrum said:
If you did 5.0 X 107 joules of work on a mass ##m##, starting at rest, it would have velocity ##v=10^4 \frac{1}{\sqrt{m}}##
The units in that equation do not match. If you express m in kg and v in m/s, the numerical result is right.
 
mfb said:
The units in that equation do not match. If you express m in kg and v in m/s, the numerical result is right.

Entschuldigung, aber ich verstehe Sie nicht.

The units should match up. ##\frac{kg \cdot m^2}{s^2} = \frac{kg \cdot m^2}{s^2} \frac{1}{kg}## cancel out the kg, and take the square root, and you're left with ##\frac{m}{s}##, unless I'm missing something?
 
Astrum said:
Entschuldigung, aber ich verstehe Sie nicht.

The units should match up. ##\frac{kg \cdot m^2}{s^2} = \frac{kg \cdot m^2}{s^2} \frac{1}{kg}## cancel out the kg, and take the square root, and you're left with ##\frac{m}{s}##, unless I'm missing something?

What is this? That equation is faulty. You are basically doing a/b = ab/b, which is nonsense!

Zz.
 
ZapperZ said:
What is this? That equation is faulty. You are basically doing a/b = ab/b, which is nonsense!

Zz.

Well now I'm all confused.

$$KE = \frac{1}{2}m v ^2 \rightarrow v^2= 2KE \frac{1}{m}$$

And if you just put the units in, you get

$$(\frac{m}{s})^2 = \frac{kg \cdot m^2}{s^2} \frac{1}{kg}$$

When you cross out the kg, and take the square root: $$\sqrt{(\frac{m}{s})^2} = \sqrt{\frac{m^2}{s^2}}$$

And we get the m/s as required...
 
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Astrum said:
Well now I'm all confused.

$$KE = \frac{1}{2}m v ^2 \rightarrow v^2= 2KE \frac{1}{m}$$

And if you just put the units in, you get

$$(\frac{m}{s})^2 = \frac{kg \cdot m^2}{s^2} \frac{1}{kg}$$

When you cross out the kg, and take the square root: $$\sqrt{(\frac{m}{s})^2} = \sqrt{\frac{m^2}{s^2}}$$

And we get the m/s as required...

What??! You are going in circles! You started with m/s, and then you pat your self on the back for getting back m/s??!

Zz.
 
Yeah, because it shows that you get the required units back out of the equation.

The original problem was because mfb said the units didn't work out, but writing the units out shows that using ##v = \sqrt{2KE/M}## gives the correct units of ##m/s##

Oh, and I accidentally put an extra kg on left side of the equation of post #5. Which may have led to more confusion.

I've got no idea what's going on now, it would be nice if you explained what you're talking about. I may have made some weird mistake that I'm just not seeing, but I'm fairly confident the units work out just fine.
 
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  • #10
Astrum said:
The original problem was because mfb said the units didn't work out, but writing the units out shows that using ##v = \sqrt{2KE/M}## gives the correct units of ##m/s##
Sure, but you can't just remove the units of the kinetic energy.

Astrum said:
$$v=10^4 \frac{1}{\sqrt{m}}$$
The left side has units ##\frac{m}{s}##, the right side has units ##kg^{-1/2}##. They are not equal.
 
  • #11
mfb said:
Sure, but you can't just remove the units of the kinetic energy.The left side has units ##\frac{m}{s}##, the right side has units ##kg^{-1/2}##. They are not equal.

##\frac{m}{s}= \frac{m}{s} kg^{1/2} \frac{1}{kg^{1/2}}## I fail to see a problem.
 
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  • #12
Astrum said:
##\frac{m}{s}= \frac{m}{s} kg^{1/2} \frac{1}{kg^{1/2}}## I fail to see a problem.
You are introducing a new factor here which is not present in your equation.

It's like saying "a=b (for all a,b) because a=a/b*b"
 
  • #13
Astrum said:
If you did 5.0 X 107 joules of work on a mass ##m##, starting at rest, it would have velocity ##v=10^4 \frac{1}{\sqrt{m}}##
I don't see anything wrong with what you did. You obviously meant this to give a velocity in m/s when the mass is given in kg.

Of course, as a stand-alone equation (without the caveats above) it would make no dimensional sense, since you left out the implied units of √(Joules) on the right hand side. Nonetheless, I think folks are busting your chops a bit. :smile:
 
  • #14
Sloppy usage of units is the dominant source of avoidable errors at this level. We should not encourage it.

You obviously meant this to give a velocity in m/s when the mass is given in kg.
That's what I said in post 4, but it was not given in post 3.

$$v[m/s]=10^4 \frac{1}{\sqrt{m[kg]}$$
 
  • #15
Doc Al said:
I don't see anything wrong with what you did. You obviously meant this to give a velocity in m/s when the mass is given in kg.

Of course, as a stand-alone equation (without the caveats above) it would make no dimensional sense, since you left out the implied units of √(Joules) on the right hand side. Nonetheless, I think folks are busting your chops a bit. :smile:

At least someone isn't picking on me :cry:

Alright, my mistake.
 
  • #16
trexpederson said:
~50million jouhls
could be used for what kind of push or power would I get from this energy, would it be enough to move an heavy object
A rock of 3 metric tons traveling at about 182m/sec has 50 million Joules of energy. That is a speed of 655 km/hr, making it approximately half the speed of sound.

Would I get a better result by spreading out the jouhls around one side of my object or focusing the energy in the middle or mid low mid high separation?
When pushing blocks to build a pyramid at Giza it is best to push horizontally and low down on the block. That way more of your effort goes into sliding it along rather than ploughing up the desert with it.

Would that much power be dangerously overkill?
That amount of energy would be a big help in getting a new pyramid under way.
 

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