Work and kinetic energy of two blocks

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Homework Help Overview

The problem involves two blocks of different masses sliding on a frictionless surface and then encountering a rough stretch that slows them down. The question is which block travels farther after they both have the same kinetic energy upon hitting the rough surface.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between mass, kinetic energy, and distance traveled under friction. Some suggest that the lighter block may travel farther due to its higher speed, while others propose that both blocks might travel the same distance because they have equal kinetic energy.

Discussion Status

There are varying opinions on which block travels farther, with some participants asserting that the lighter block (m2) will go farther due to its speed, while others believe it could be a tie based on energy considerations. The discussion reflects multiple interpretations of the problem without reaching a consensus.

Contextual Notes

Participants are considering the effects of mass and kinetic energy in the context of friction, and there may be assumptions about the nature of the frictional force and its impact on motion that are being questioned.

msattar07
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Homework Statement


Two blocks of mass m1 and m2 (m1 > m2) slide on a frictionless floor and have the same kinetic energy when they hit a long rough stretch (coeff. of kinetic friction > 0), which slows them down to a stop. Which one goes farther?


Homework Equations



W = Fd..iono?!?

The Attempt at a Solution



i think the answer is mass 2 because it has a smaller mass which will allow it to travel a farther distance.
 
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i think its a tie because they have the same KE and using the energy balance they would cancel out and go just as far
 
just so you know..answer came out to be m2..
go figure??
 
Yes. I believe it is m2.

Because it has a lesser mass, in order for the kinetic energies to be the same, it must be traveling faster than the heavier mass.

Although it has less momentum, it also has less of a frictional force opposing it, and because it has a faster initial speed, it should go further than the heavier block.
 

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