5. A block of mass me is at the top (h from the bottom) of a movable wedge with angle and mass mw. There is no friction between the block and wedge or between the wedge and the floor. Since the wedge can move, as the block slides down the wedge, it pushes the wedge backwards. (a) (b) (c) (d) (e) h mB mw Initial VW mw Write down the energy conservation equation for this scenario. Find the final speed of the block. VB Final mg Write down the momentum conservation equation for this scenario. Find the final speed of the wedge, once the block has slid all the way down the ramp. Test your answers to parts (a) and (b) by taking the limits as mw →∞.

Principles of Physics: A Calculus-Based Text
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 21P: A 5.00-kg block is set into motion up an inclined plane with an initial speed of i = 8.00 m/s (Fig....
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5.
A block of mass me is at the top (h from the bottom) of a movable wedge with angle and mass
mw. There is no friction between the block and wedge or between the wedge and the floor. Since the wedge can
move, as the block slides down the wedge, it pushes the wedge backwards.
(a)
(b)
(c)
(d)
(e)
h
mB
mw
Initial
VW
mw
Write down the energy conservation equation for this scenario.
Find the final speed of the block.
VB
mB
Final
Write down the momentum conservation equation for this scenario.
Find the final speed of the wedge, once the block has slid all the way down the ramp.
Test your answers to parts (a) and (b) by taking the limits as mw → 00.
Transcribed Image Text:5. A block of mass me is at the top (h from the bottom) of a movable wedge with angle and mass mw. There is no friction between the block and wedge or between the wedge and the floor. Since the wedge can move, as the block slides down the wedge, it pushes the wedge backwards. (a) (b) (c) (d) (e) h mB mw Initial VW mw Write down the energy conservation equation for this scenario. Find the final speed of the block. VB mB Final Write down the momentum conservation equation for this scenario. Find the final speed of the wedge, once the block has slid all the way down the ramp. Test your answers to parts (a) and (b) by taking the limits as mw → 00.
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