Learn How to Calculate Projectile Force for Your Project - Helpful Tips Included

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Homework Help Overview

The discussion revolves around calculating the force or energy required to launch a ball through a curved tube, which is positioned vertically. The original poster seeks to understand the relevant formulas and how to derive them for their project involving a hard plastic ball and tube.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conservation of mechanical energy, specifically how the initial kinetic energy relates to the potential energy at the top of the tube. There are questions about the minimum velocity required for the ball to reach the top and how to calculate the force needed for the launch. Additionally, there are inquiries regarding unit conversions from Newtons to pounds.

Discussion Status

The discussion is active, with participants providing insights into energy conservation and the calculations involved. Some have offered guidance on the relationship between kinetic and potential energy, while others are exploring the implications of their findings on the design of the solenoid needed for the project. There is no explicit consensus yet, as various interpretations and calculations are being examined.

Contextual Notes

Participants are considering assumptions such as ignoring energy losses due to friction and the mechanics of the ball's movement within the tube. There is also a focus on the need for accurate unit conversions in the context of force and energy calculations.

mocfive
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I have attached a diagram of what I am trying to do. This is a side view of a tube that will be carrying that ball up through the curve and back in the opposite direction, just 50 cm higher. The ball is hard plastic and the curved tube is probably going to be hard plastic as well but sprayed w/ teflon. Basically, I need to figure out how much force or energy is required to launch that ball through the tube and out the top.

I am confused about which formulas apply and which don't. I would appreciate help deriving the formulas so I can tweak the numbers to make this design work best for my project.

Thanks for the help
 

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I just want to clarify something. This tube is perpendicular with the ground. The ball is basically traveling straight up, just through this curved tube.

Greg
 
If you can ignore energy losses due to friction and the banging of the ball against the tube, then the final KE will equal the initial KE minus mgh (since mechanical energy would be conserved). Thus the ball needs a minimum initial KE = mgh to have a chance of making it. Start with that and tweak it.
 
ok, so the potential energy of the ball once it get to the top of the tube is mgh, (0.03*9.8*.50) = 0.147J. So The Kinetic energy must equal 0.147 J.

1/2 m v^2 = 0.147 J
1/2 (0.03kg) V^2 = 0.147j
v = 3.1305

Ok that's as far as I can get. Does this means that the minimum velocity must be 3.1305 m/s ?

Now I know I need to find force required to do this work and eventually use this information to find a solenoid strong enough to do this work. Solenoids list the force they produce in lbs.

Are these conversions correct to change force to lbs? Is this conversion possible?

100n = 10kg
10n=1kg
1n= 100g

thanks for all the help,
Greg
 
mocfive said:
Ok that's as far as I can get. Does this means that the minimum velocity must be 3.1305 m/s ?
That's the minimum velocity to barely make it to the top. If you want it to shoot out, you'll need more.

Now I know I need to find force required to do this work and eventually use this information to find a solenoid strong enough to do this work. Solenoids list the force they produce in lbs.
I'm not sure what your arrangement is, but it's force acting through a distance that will give the ball energy.

It may be helpful to note that 1 pound = 4.45 Newtons.

Are these conversions correct to change force to lbs? Is this conversion possible?

100n = 10kg
10n=1kg
1n= 100g
What you've done is find the weight of a given mass using w = mg. For example: a 1 kg mass weighs 1*9.8 = 9.8 N.
 

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