Physics problem :( (force etc)?

Question

the question is:
A can of pop is gfiven a shove. It slides across a table, eventually coming to a stop. If its initial velocty is 2.0 m/s, and the coefficient of kinetic friction between the two surfaces is 0.20, how far will it travel across the table?

errr im struggling with this, i dont know how to find mass and im left with a whole bunch of unknown variables...please help, thanks!

Answer 1

You don't need to find the mass if use conservation of energy to solve the problem.

The kinetic energy of the can initially is:
1/2*m*v^2
=.5*m*2^2
=2*m
and when it comes to rest it is zero
The energy was lost to the work done by friction.

the force of friction times displacement is the work:

u*g*m*d
=.2*9.8*m*d
=19.6*m*d
now set the energy of the system equal to zero:
2*m-19.6*m*d=0
divide out the mass and solve for d:
d=19.6/2
=9.8m

j

Answer 2

energy conservation law: m*v^2/2=f*x;
left hand - kinetic energy of the can, right hand - work of friction,
while f=k*m*g – force of friction (which we consider constant), k=0.20, v=2.0 m/s, g=9.8;
Now m*v^2/2=k*m*g*x; or v^2=2*k*g*x; or x=v^2/(2*k*g) – the path to stop.
Thus mass does not matter here!

Answer 3

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