Two speeding lead bullets, one of mass 12.0 g moving to the right at 300 m/s and one of mass 8.00 g moving to the left at 400 m/s, collidehead-on, and all the material sticks together. Both bullets are originally at temperature 30.0 C. Assume the change in kinetic energy of thesystem appears entirely as increased internal energy. We would like to determine the temperature and phase of the bullets after the collision.(b) From one of these models, what is the speed of the combined bullets after the collision?

Answered: Image /qna-images/answer/322b3064-b4b4-4848-811c-a828189cb81c.jpg

Answered: Two speeding lead bullets, one of mass…

Similar questions

A 2.00 g lead bullet traveling at initial temperature of 30°C strikes a target, converting its kinetic energy into thermal energy. Consider the following scenarios: (i) After the collision the bullet warms up to 300°C. What was the initial speed of the bullet in this case? (ii) After the collision the bullet melts. What was the initial speed of the bullet in this case?
An iron bar is held between a fire at fixed temperature, T1 = 444 C and the other end is embedded into a block of ice of mass m = 0.478 kg at 0 C. The latent heat of fusion of ice is 334 kJ/kg. The thermal conductivity of metallic iron is 80 W/m-K. The length of the bar is /= 2.2 m and it has a width of w = 0.203 m and height of h = 0.119 m. The density of iron is 7.874 kg/m^3. The specific heat capacity of iron is 0.44 kJ/kg-K and the specific heat capacity of water is 4.182 kJ/kg-K. a) At t=0, what is the power (J/s) of heat transfer across the bar? b) If T1 is held constant, how long does it take to melt the entire block of ice? c) Suppose now that as soon as all of the ice has melted the water is put into an insulating container. The iron bar is now heated completely to T1 and dropped, cheerfully and with reckless abandon, into the container. What is the final temperature of the system?
A 21-kg block of iron drops out of the back of a pickup truck traveling at 55 mi/h. The block slides on the horizontal road for 150 m before coming to rest. Assume the block gets 60% of the thermal energy converted from other forms by the friction interaction between the block and the road, and the process happens so quickly that little of the block’s thermal energy escapes as a heat flow to the block’s surroundings. (a) Use the momentum requirement to determine the friction force on the block. The friction force on the block is ___N (b) By how much does the block’s temperature increase? The temperature increases is ___K
A mFe = 0.16 kg mass of iron is heated to 100∘C and then placed in a Styrofoam cup containing mw = 0.50 kg of water. Initially, the water and has a temperature of 27∘C. Find the equilibrium temperature of the system. cw = 4186 J/kg∘C and cFe = 460 J/kg∘C.
A pot on the stove contains 500 g of water at 20°C. An unknown mass of ice that is originally at −10°C is placed in an identical pot on the stove. Heat is then added to the two samples of water at precisely the same constant rate. Assume that this heat is transferred immediately to the ice or water (in other words, neglect the increase in temperature for the pot). We will also neglect evaporation. The ice melts and becomes water, and you observe that both samples of water reach 60.0°C at the same time. Solve for the mass of the ice that was originally in the second pot. The specific heat of liquid water is 4186 J/(kg °C), and of solid water is 2060 J/(kg °C). The latent heat of fusion of water is 3.35 105 J/kg.
Suppose that an insulating container of air at room temperature and standard pressure is initially traveling at a speed v0 (perhaps in a car). We bring the container suddenly to rest. Assume that the air’s center-of-mass kinetic energy gets converted entirely to thermal energy in this process. (a) What is the air’s change in temperature ΔT in terms of kB, v0, and the average mass of an air molecule m? Determine such a relationship. (b) If v0 = 44 m / s, what is the numerical value of ΔT? The numerical value of ΔT is ______K.
A well-insulated aluminum calorimeter cup with mass of 231 g contains 271 g of liquid water at 25.1 °C. A 295-g silver figure of polar bear, with initial temperature of 96.5 °C, is dropped into the water. What is the final temperature of the water, cup, and bear when they reach thermal equilibrium? The specific heats of silver, aluminum, and liquid water are, respectively, 234 J/(kg · K), 910 J/(kg · K), and 4190 J/(kg · K). final temperature:
A 5.60-g lead bullet traveling at 580 m/s is stopped by a large tree. If half the kinetic energy of the bullet is transformed into internal energy and remains with the bullet while the other half is transmitted to the tree, what is the increase in temperature of the bullet?
Two speeding lead bullets, one of mass 12.5 g moving to the right at 250 m/s and one of mass 7.55 g moving to the left at 395 m/s, collide head-on, and all the material sticks together. Both bullets are originally at temperature 30.0°C. Assume the change in kinetic energy of the system appears entirely as increased internal energy. We would like to determine the temperature and phase of the bullets after the collision. (Lead has a specific heat of 128 3/(kg K), a melting point of 327.3°C, and a latent heat of fusion of 2.45 x 10* 1/kg.) (a) What analysis model is appropriate for the system of two bullets for the time interval from before to after the collision? particle in equilibrium isolated system (momentum) particle under a net force nonisolated system (momentum) (b) From the model, what is the speed of the combined bullets after the collision? m/s (c) How much of the initial kinetic energy has transformed to internal energy in the system after the collision? (d) Does all the lead…
Water with a mass of mW = 0.400 kg and temperature of TW = 15.5°C is poured into an insulated bucket containing mI = 0.19 kg of ice at a temperature of TI = -15°C. Assume the specific heats of ice and water are constant at cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively. The latent heat of fusion for water is Lf = 334×103 J/kg. Part (a) What is the final temperature of the mixture, in degrees Celsius? Tfinal = Part (b) Enter an expression for the mass of ice, in kilograms, that has melted when the mixture reaches its final temperature. mmelt = Part (c) Calculate how much ice, in kilograms, has melted when the mixture reaches its final temperature. mmelt =