IX - Basic Physics
2. The pendulum of length L shown below is released from rest at point A. As it swings down, the massless string strikes a peg at B and the ball swings through point C. (a) How fast is the ball moving as it passes through point C? (b) Neglecting friction, the ball will approach a limiting speed as it winds up on the pin B. What is that speed?
3. Suppose you have a cylindrical chamber of volume V and height h filled with gas at temperature of 25°C. The top of the chamber is a piston with a total weight W. If you raise the temperature to 75°C, by how much will you raise the piston?
4. In a flat glass plate of refractive index n a small bubble is situated in distance h below the surface. If the disk is placed on the surface directly above the bubble, what diameter should the disk have so that the bubble is not visible from the surface at any angle.
5. A copper calorimeter of 250 g mass contains 400 g of water and is initially at 20°C. (The calorimeter is a vessel whose temperature would remain constant unless its content is changed by external means. Visualize a copper beaker entirely surrounded by ideal Styrofoam.) A block of copper weighing 1000 g heated to 100°C is placed in the water in the calorimeter. The final temperature of the water in the calorimeter is found to be 34.5°C. If the specific heat of water is 1 calorie/g °C, what is the specific heat of copper?
6. In the following figure, assume there is negligible friction between the blocks and the table. Compute the tension in the massless cord and the acceleration of m2 if m1 = 300 g, m2 = 200 g and F = 0.40 N.
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