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- 3.90 ... CP A rocket designed to place small payloads into orbit is carried to an altitude of 12.0 km above sea level by a converted airliner. When the airliner is flying in a straight line at a constant speed of 850 km/h, the rocket is dropped. After the drop, the air- liner maintains the same altitude and speed and continues to fly in a straight line. The rocket falls for a brief time, after which its rocket motor turns on. Once its rocket motor is on, the combined effects of thrust and gravity give the rocket a constant acceleration of magnitude 3.00g directed at an angle of 30.0° above the hori- zontal. For reasons of safety, the rocket should be at least 1.00 km in front of the airliner when it climbs through the airliner's alti- tude. Your job is to determine the minimum time that the rocket must fall before its engine starts. You can ignore air resistance. Your answer should include (i) a diagram showing the flight paths of both the rocket and the airliner, labeled at several…arrow_forward1. In an industrial fabrication process, a fluid, with density p = 800 kg/m and specific heat capacity c = 5000 J/kg-C°, emerges from a tank at a temperature, T, = 400 °C. The fluid then enters a metal pipe with inner radius a = 2.0 cm and outer radius b = 3.0 cm and thermal conductivity k = 180 W/m•C°. Outside the pipe the temperature is fixed at Tout = 15 °C. If the fluid flows at speed v = 8.0 m/s and the length of the pipe is L = 25 m, what is the temperature of the fluid at the end of the pipe? (Answer: 83 °C) please I need to show All work problems step by steparrow_forwardIn an isothermal process, you are told that heat is being added to the system. Which of the following is not true? (a) The pressure of the gas is decreasing. (b) Work is being done on the system. (c) The average kinetic energy of the particles is remaining constant. (d) The volume of the gas is increasing. (e) Work is being done by the system.arrow_forward
- No chatgpt pls will upvotearrow_forward8.114 CALC A Variable-Mass Raindrop. In a rocket-propul- sion problem the mass is variable. Another such problem is a rain- drop falling through a cloud of small water droplets. Some of these small droplets adhere to the raindrop, thereby increasing its mass as it falls. The force on the raindrop is dp dv dm Fext = + dt dt dt = Suppose the mass of the raindrop depends on the distance x that it has fallen. Then m kx, where k is a constant, and dm/dt = kv. This gives, since Fext = mg, dv mg = m + v(kv) dt Or, dividing by k, dv xgx + v² dt This is a differential equation that has a solution of the form v = at, where a is the acceleration and is constant. Take the initial velocity of the raindrop to be zero. (a) Using the proposed solution for v, find the acceleration a. (b) Find the distance the raindrop has fallen in t = 3.00 s. (c) Given that k = 2.00 g/m, find the mass of the raindrop at t = 3.00 s. (For many more intriguing aspects of this problem, see K. S. Krane, American Journal of…arrow_forward8.13 A 2.00-kg stone is sliding Figure E8.13 F (kN) to the right on a frictionless hori- zontal surface at 5.00 m/s when it is suddenly struck by an object that exerts a large horizontal force on it for a short period of 2.50 time. The graph in Fig. E8.13 shows the magnitude of this force as a function of time. (a) What impulse does this force exert on t (ms) 15.0 16.0 the stone? (b) Just after the force stops acting, find the magnitude and direction of the stone's velocity if the force acts (i) to the right or (ii) to the left.arrow_forward
- Please calculate the expectation value for E and the uncertainty in E for this wavefunction trapped in a simple harmonic oscillator potentialarrow_forwardIf an object that has a mass of 2m and moves with velocity v to the right collides with another mass of 1m that is moving with velocity v to the left, in which direction will the combined inelastic collision move?arrow_forwardPlease solve this questionarrow_forward
- Please solvearrow_forwardQuestions 68-70 Four hundred millilitres (mL) of a strong brine solution at room temperature was poured into a measuring cylinder (Figure 1). A piece of ice of mass 100 g was then gently placed in the brine solution and allowed to float freely (Figure 2). Changes in the surface level of the liquid in the cylinder were then observed until all the ice had melted. Assume that the densities of water, ice and the brine solution are 1000 kg m-3, 900 kg m3 and 1100 kg m3, respectively. 68 Figure 1 400 400 Figure 2 1m² = 1x10 mL After the ice was placed in the brine solution and before any of it had melted, the level of the brine solution was closest to 485 mL. B 490 mL. C 495 mL. Displaced volume by ice. D 500 mL. weight of ice 69 The level of the brine solution after all the ice had melted was A 490 mL B 495 mL D 1100kg/m² = 909 xious mis 70 Suppose water of the same volume and temperature had been used instead of the brine solution. In this case, by the time all the ice had melted, the…arrow_forwardPlease showarrow_forward
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