A block of mass m is launched by a spring of
stiffness k compressed a distance X (1) and
slides across a frictionless surface (2). It is
caught by a curved frictionless ramp (mass
M = 3m) that is itself free to slide without
friction on the surface (energy is conserved in
this problem). The block eventually reaches a
maximum height (3), turns around, and slides
back off (4). The diagrams show 4 instants.
a. Find the speed of the block in frame 2.
Find the speed of the block in frame 3.
Find the speed of the block in frame 4
4 is similar to an elastic collision).
d. Find the maximum height of the block
on the ramp in frame 3.
e. In the table below fill in the correct sign
(+,- or 0) for each of the quantities listed for the interaction occurring only
from frames 2 to 4. Take up and right as positive.
Choice of System:
Average Change in Horizontal Velocity of
Center of Mass of ?
Average Net Horizontal Force of ?
Change in Horizontal Momentum of
Total Non-Conservative Work Done on ?
Change in Mechanical Energy of ?
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