# Two common sense questions (solutions provided)

## Homework Statement

1) Please forget the concept of center of mass for now

[PLAIN]http://img97.imageshack.us/img97/1773/unledurk.png [Broken]

OKay my question is, what is the height of the square on the incline? Is it the green line or the blue line? If this was any physics problem, which is the height? ALl measurements are made with respect to the invisible ground which I forgot to draw and the blue line is not supposed to cross extend, I couldn't delete it without deleting the incline

2) The masses shown in Fig are connected by a
massless string over a frictionless, massless pulley
and are released from rest. Use energy conserva-
tion to find the maximum height
reached by the 4.0-kg mass,

[PLAIN]http://img716.imageshack.us/img716/2043/unledeqt.png [Broken]

Solutions given

The 4-kg mass, with an upward velocity of
5.17 m/s, will rise (as a projectile) an additional
v2/2g = (5.17 m/s)2/(2×9.8 m/s2) = 1.36 m to a
maximum height of 5 m + 1.36 m = 6.36 m off the
floor. (Note: the mechanical energy of both masses is
no longer conserved after the 7-kg mass hits the floor,
because a non-conservative contact force acts to stop
it.)

Does that mean when it reaches h = 5 and then h = 6.36 for brief moment and then it will come back down to h = 5 again for the m = 4kg block because the rope can't actually extend (not elastic)? Is the nonconservative force in the context meaning the heat produced (friction) between the contact forces?

Thank you

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