1. A door has moments of inertia of 43 kgm2 about its hinges and is closed. A boy opens the door by pushing on the doorknob, which is 0.856 m away from the axis of rotation. He applies a constant force of 2.1 N that is always perpendicular to the door. Find the angle in degrees through which he has rotated the door after 3.8 s. 2. A cylinder of mass 14kg and radius 1.30 m is acted on by a counterclockwise torque of 1.6 Nm. If the cylinder was initial rotating counterclockwise with angular speed of 1.9 rad/s, what is the new rotational speed after 3.5 complete turns. (1 = 0.5 M RXR) 3. A torque of 3.8 Nm acts on the rim of a cylindrical drum of radius 9.3 m and moments of inertia 1.3 kg m2. If the drum was initially at rest, what is it angular speed after 7.8 seconds? 4. Polly has a 2443.1 ml stainless steel kettle that she completely fills with water at temperature of 28.7 degrees Celsius. She puts the kettle on the stove. Determine the amount of water that spills out when the water gets to the boiling point. (Coeff. of volume expansion of water =210x10-6 Co-1 Coeff. of linear expansion steel =12x10-6 Co-1) 5. A 170 g copper calorimeter contains 250 g of water at 83.70C. A 31.6 g piece of ice at the melting point is then added to the calorimeter. Find the final temperature of the mixture in Celsius degrees, assuming no heat loss to the environment. (ccu = 390 J/kg Co, cwater = 4186 J/kgCo, cice = 2100 J/kgCo, Lf(water) = 3.33x105 J/kg) 6. An Aluminium rod has length 1.2 m and radius 2.7 cm. One end of the rod is kept at 1000 C and the other end is fitted with a piece or cork of equal radius. The cork is 5.1 mm thick and its free end is kept at 0.000 C. Find the temperature of the cork-Aluminium interface. (KAI = 200 Wm/Co, kcork = 0.042 Wm/Co) 7. An Aluminium rod has length 1.2 m and radius 2.7 cm. One end of the rod is kept at 1000 C and the other end is fitted with a piece or cork of equal radius. The cork is 5.1 mm thick and its free end is kept at 0.000 C. Find the rate of heat conduction along the rod. (KAI = 200 Wm/Co, kcork = 0.042 Wm/Co)