Sliding vs Rolling: Homework Analysis

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In the discussion about the sliding versus rolling motion of a can on a slippery slope, it is established that a sliding can reaches the bottom faster than a rolling can. This is due to the conversion of gravitational potential energy into translational kinetic energy, with rolling motion also involving rotational kinetic energy, which reduces the translational speed. The participants clarify that while both scenarios convert gravitational energy, the presence of rolling energy in the rolling can results in slower overall descent. The slope dimensions mentioned, 4cm high and 1.5 meters long, provide context but do not alter the fundamental physics involved. Ultimately, sliding is more efficient in this scenario, leading to a quicker arrival at the bottom.
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Homework Statement


"Suppose the sloping surface was very slippery so no rolling occurs (the can slides). Would the can reach the bottom sooner or later compared with the rolling motion? Explain the difference"



I don't know if its relevant, but the slope was 4cm at the high end, and 1.5 meter long.
 
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What do you think?
 
I read somewhere that rolling has less translational KE, and that sliding makes it to the bottom first...
This makes me even more confused
 
ya your right.

basicly gravitational energy is converted into translational KE and rolling energy (for the rolling one)
so
mgh=\frac{1}{2}mv^2+\frac{1}{2}I \omega^2

what are you confused about?
 
Ohhhh ok.
Thats brilliant, thanks for your help
 
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