Joule Mobile Mass Transporter Project

AI Thread Summary
The Joule Mobile Mass Transporter Project aims to create a device that transports a 1 kg mass 10 meters using the energy from the mass falling 10 centimeters. The design must ensure all components remain intact during the journey and that the vehicle is self-guided after starting. Ideas include using a pulley system connected to an axle and lightweight materials like CDs for wheels, but challenges include connecting the pulley, selecting materials, and preventing the string from rewinding. Some participants have experienced issues with their prototypes, noting that friction may be hindering performance and suggesting that wheel-to-axle ratios need to be optimized. Overall, the discussion focuses on finding effective solutions to meet the project's strict energy and design criteria.
ieatoranges
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Objective: To build a device that will transport a 1 kilogram mass a distance of 10 meters using the energy released as the mass falls a distance 10 centimeters.

Rules:
1. The only source of energy that may be used to move the vehicle is a 1 kg mass falling 10 cm.
2. All parts of the vehicle, including the 1 kg mass, must stay together for the entire trip
3. After the vehicle begins to move, it must be self-guided. I thought of using a pulley connected to an axle (with string pulling the 1 kg mass down on the pulley), but I don't know 1) how to connect a pulley to a cart-like-thing, 2) what materials to use to be lightweight, and 3) how to release the string without it rewinding like a yo-yo.

I thought of using CD's for the 4 wheels. I don't know what would be an effective axle, though. Also I thought of using an empty spool for the reel part of the pulley. Now it's a matter of attaching the reel to some sort of construction to hold UP the mass.

If anyone could help, I'd appreciate it! Thank you!
 
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ieatoranges said:
Objective: To build a device that will transport a 1 kilogram mass a distance of 10 meters using the energy released as the mass falls a distance 10 centimeters.

Rules:
1. The only source of energy that may be used to move the vehicle is a 1 kg mass falling 10 cm.
2. All parts of the vehicle, including the 1 kg mass, must stay together for the entire trip
3. After the vehicle begins to move, it must be self-guided.


I thought of using a pulley connected to an axle (with string pulling the 1 kg mass down on the pulley), but I don't know 1) how to connect a pulley to a cart-like-thing, 2) what materials to use to be lightweight, and 3) how to release the string without it rewinding like a yo-yo.

I thought of using CD's for the 4 wheels. I don't know what would be an effective axle, though. Also I thought of using an empty spool for the reel part of the pulley. Now it's a matter of attaching the reel to some sort of construction to hold UP the mass.

If anyone could help, I'd appreciate it! Thank you!

How strict is your teacher? Do you think something cheap would work for him, elsewise, let's look at our other options.
 
I think it's safe to say that \frac{l}{d}=\frac{r}{R}, where l=0.100m, d=10.00m, and r,R are appropriate radii of the axle and the wheels such that the equality is true. This is neglecting friction, so you'll want to make R >> r to account for the energy lost due to friction.
 
My teacher isn't that strict, anything is ok as long as it follows those rules.

I built my Joule Mobile, but it doesn't work! The mass falls down REALLY slowly and with the pulley, only goes about 3 meters. Is it the friction? I'm not sure why it is not working properly.. I would think that theoretically it makes perfect sense.
 
ieatoranges said:
My teacher isn't that strict, anything is ok as long as it follows those rules.

I built my Joule Mobile, but it doesn't work! The mass falls down REALLY slowly and with the pulley, only goes about 3 meters. Is it the friction? I'm not sure why it is not working properly.. I would think that theoretically it makes perfect sense.

If the mass is falling the total length and the axle-wheel ratio follows my work, then the only reason the cart isn't traveling its full distance is friction on the wheels or slip within the pulleys.

For the minimum ratio between the wheel and axle, we solve the inequality. Make the wheels of radius, R=1.00m. That puts the radius of the axle to be, r=0.01m (1 centimeter). If this is what you're doing, then we can solve for friction using energy formulas:

U_i+K_i = U_f+K_f+W\rightarrow mgh=W=0.980655J. From this, we can analyze the frictional forces acting upon the system to solve for some of the necessary information:

Considering 0.980655=W=Fd=10F_f=10C_rN=10(1+m)gC_r\rightarrow C_r(1+m)<0.01. From this, using standard rolling friction values for 'smooth' surfaces (non-rubber), we'll find (1+m)<1.5kg, where m is the mass of the cart. Make your cart small.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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