A uniform rod, supported and pivoted at
its midpoint, but initially at rest, has a mass
of 86 g and a length 5 cm. A piece of clay with
mass 21 g and velocity 1.7 m/s hits the very
top of the rod, gets stuck and causes the clay-
rod system to spin about the pivot point O at
the center of the rod in a horizontal plane.
Viewed from above the scheme is
!
!
1.7 m/s

(a) before (b) during (c) after
5 cm
After the collisions the clay-rod system has an
diby (ad33488) – HW8 – mackie – (10612) 3
angular velocity ! about the pivot.
With respect to the pivot point O, what is
the magnitude of the initial angular momen-
tum Li of the clay-rod system?
Answer in units of kgm2/s
014 (part 2 of 3) 10.0 points
With respect to the pivot point O, what is
the final moment of inertia If of the clay-rod
system?
Answer in units of kgm2
015 (part 3 of 3) 10.0 points
The final angular speed !f of the clay-rod
system is
Answer in units of rad/s

1. how much energy is needed to raise the temperature of 40.0 g of argon from 25c to 40c? the specific heat capacity of argon is 0.520 j/(g·k) 2a. 23.0 ml of 0.100 m hcl (standard) are added from a buret to neutralize 50.0 ml of an unknown basic solution. 2b. if the oh- produced in the previous reaction came from ca(oh)2, then what is the molarity of the ca(oh)2? 3.calculate the new freezing-point of a solution when 60.5 grams of cacl2 solute is dissolved in 0.612 kg of water. 4. what is the maximum number of moles of alcl3 that can be produced from 5.0 mol al and 6.0 mol cl2? 5. a sample of oxygen gas has a volume of 150 ml when its pressure is 0.923 atm. if the pressure is increased to 0.987 atm and the temperature remains constant, what will the new volume be? 6. nitrogen gas in a closed container at a temperature of 100.0 oc and 3.0 atm is heated to 300 oc. what is the pressure of the gas at the higher temperature?