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Homework 4
Due 10/26/17
1. In a common physics lab, a car is at rest at the center of a horizontal air track,
with negligible friction. Another car is then pushed to the right, towards the
resting car. Both cars have a piece of Velcro on each end, so that after the
collision, the cars stick together and move off in the same direction. If the mass
of the car that’s initially at rest is 90g, and if the other car has a mass of 60g, and
is moving towards the first with a speed of 5 m/s, what’s the final speed of the
stuck together cars?
2. Consider again the situation in problem 2, but now assume there are no Velcro
straps, so that the collision is completely elastic (they don’t stick together after
they hit). What’s the speed of each car after the collision? In which direction are
they each moving?
3. An 80kg adult sits at one end of a 10m long board. Her 20kg child sits on the
other end. The board has a mass of 10kg. Where should a pivot be placed so
that the board balances?
4. A table is pictured in the figure below. The top of the table has a mass of 𝑚𝑡𝑎𝑏𝑙𝑒 =
20𝑘𝑔, and is 2m long. A salad bowl (𝑚 = 5𝑘𝑔) sits .2m from the left edge. A cup of
water (𝑚 = 1.5𝑘𝑔) sits .3m from the left edge.
a. What’s the force that the left leg exerts on the top of the table?
b. What’s the force that the right leg exerts on the top of the table?
Figure 1
.3m
.2m
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