2) A 0.6 kg rock falls 1200 m into a bucket containing 1 kg of water. How much does the temperature of the water rise assuming all the energy goes into the water? (The specific heat capacity of water is 1 cal/g oC and 1 cal = 4.184 J
3) The following table is the data for a velocity distribution with
11 molecules.
Number
Speed, v in m/s
1 50
2 150
4 250
3 350
1 450
a) Draw a sketch of a graph of the distribution.
b) From the graph, which is the most probable speed, vm?
c) From the values in the table find the average speed, <v>.
d) From the values in the table find the rms value of the speed *<v2>.
4) A hunter has a rifle that can fire 60g bullets with a speed of 90m/s.
A 40kg leopard springs at him at 10m/s. How many bullets must the
hunter fire in order to stop him in his tracks, using only the momentum
of the bullets
5) A ball of mass 0.06 kg moving at 25 m/s strikes a wall at a 90o
angle and rebounds with the same velocity. The two are in contact for 0.03s.
a) What is the change in momentum of the ball?
b) What is the average force on the ball?
c) What is the average force on the wall?
d) What would be the force on the window if the ball stops at the wall and does not rebound?
e) What is the average x-component (perpendicular to the wall) of force on each if the ball strikes with the same speed at an angle of 45o and rebounds with the same speed at 45o?
6) At its furthest distance from the sun, Halley's comet is 5.3x109 km away and is traveling at 5x103 m/s. How fast is it traveling when it is at it's closest distance to the sun, 8.8x107 km? (The moment of inertia is I = mr2 for an object of mass m at a distance of r and tangent speed vT = r w.
7) The following PV diagram represents a thermodynamic process.
a) How much work is done in taking the system from a volume of 5 m3
to a volume of 10 m3?
b) If the heat flow into the system during this process was 100J, what is the change in internal energy?
Bonus:
What is Maxwellís demon?
Explain the four methods of heat transfer?