
3. An ice cube at 0°C is hanging from a spring in the lab room. The...
4. A spring is hanging vertically with its bottom at a height of 1 m. We attach a 1 kg mass to the spring, and see that, after we gently lower it and let go, the bottom of the spring is at height of 0.95 m. Draw an energy interaction diagram starting at the moment the mass is attached and ending when the mass comes to rest. What is the value of the spring constant for this spring? Part 1:...
An ice cube of mass 500 g at 0 °C is dropped into an insulated container of 1.0 kg of water that initially is at room temperature (25 °C), and eventually the system reaches equilibrium. The insulator is not perfect, so 20 kJ of heat flows from the room into the water during the process. 3. a. Calculate the entropy increase in the ice that melts into water. b. Calculate the entropy loss of the water that cools down. c....
6) A mass-spring system consists of a 250-g mass hanging from a spring with a spring constant of k 0.18 J/m2. The mass is pulled down 7.1 cm from its equilibrium position and released from re a) How much work did the person do when she pulled the spring down from its equilibrium position? Assume that the mass was at rest before she pulled it down, and before it was released. (Use the energy-interaction model, not the expression W FavgAx,...
A massless spring with a spring constant k = 22.0 N/m is hanging vertically from the ceiling neither stretched nor compressed as shown in part (1). A 0.45-kg ball is attached to its free end, then slowly lowered to its equilibrium (E) position (2). Finally, the ball is pulled down a distance of 15.0 cm before being released (3). a) Using the provided information derive the algebraic expression for the stretched distance in the spring while at equilibrium. b) Calculate...
You have a glass of water with a single ice cube. The density of the water is 1000 kg/m^2 and the ice cube density is 917 kg/^2. Each side of the ice cube is 1 cm long. a.) Find an expression for the net force when the ice cube is sinks a small distance. b.) What is the potential energy of part a? c.) Solve the movement equation. d.) Find the frequency of oscillation and the complete answer for y(o)...
7. A 75000 kg space shuttle starts to re-enter the atmosphere at 17500 mph (7600 m/s) at an altitude of 170 km. When it reaches an altitude of 3 km it is traveling at 300 mph (150 m/s). Draw an energy interaction diagram to determine how much heat was dissipated in the atmosphere. Ignore the thermal energy of the heat shield. Part 1: How many energy systems are changing? 0 4 O 2 O 1 O 3 7. Part 2:...
Part C
An object of mass 4 grams hanging at the bottom of a spring with a spring constant 3 grams per second square. Denote by y vertical coordinate, positive downwards, and y 0 is the spring-mass resting position. g(t) (a) Write the differential equation satisfied by this system. Note: Write t for t, write y for y(), and yp for y () (b) Find the mechanical energy E of this system. Note: Write t for t, write y for...
(20%) Problem 3: A thermos contains m = 0. 79 kg of tea at IT, = 31° C. Ice (m, = 0.055 kg, T, = 0° C) is added to it. The heat capacity of both water and tea is c 4186 J/(kg K), and the latent heat of fusion for water is L4= 33.5 x 104 J/kg. A 50% Part (a) Input an expression for the final temperature after the ice has melted and the system has reached thermal...
9. A slug is shot straight up at a speed of 450 m/s. Draw a complete energy interaction diagram to find the maximum height it can reach (neglecting air drag) Part 1: How many energy systems are changing? O 4 O 3 0 1 O 2 We were unable to transcribe this imageWe were unable to transcribe this image10. A bottle, with a mass of 20 g, contains 2.2 x 10-3 moles of O2, 4.4 x 10-3 moles of H2,...
(20%) Problem 3: Athermos contains mj = 0.73 kg of tea at T 33° C. Ice (m2 0.075 kg, T2 0° C) is added to it. The heat capacity of both water and tea is c 4186 J/(kg K), and the latent heat of fusion for water is L,= 33.5 x 104 Jkg. 50% Part (a) Input an expression for the final temperature after the ice has melted and the system has reached thermal equilibrium. Grade Summary T= Deductions 0%...