Jupiter's moon lo has active volcanoes (in fact, it is the most volcanically active body in the solar system) thateject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93 x 1022 kg and aradius of 1821 km.▾ Part AHow high would this material go on earth if it were ejected with the same speed as on lo? (R = 6370 km, mg=5.96 x 10²4 kg)Express your answer with the appropriate units.FTemplate:6.SymbergUndo redo Reset keyboard shortcuts Helpexpoñent subscript fraction dot scientific notation dejete Close keyboardValueUnitsPrevious Answers Request AnswerSubmit

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Jupiter's moon lo has active volcano that ejects material as high as 500km above the surface. lo has a mass of 8.94x1022 kg and a radius of 1815km. How high would this material go on earth if it were ejected at the same speed as on lo.
A neutron at rest decays (breaks up) to a proton and an electron. Energy is released in the decay and appears as kinetic energy of the proton and electron. The mass of a proton is 1836 times the mass of an electron. Part A What fraction of the total energy released goes into the kinetic energy of the proton? Express your answer as a percentage. Kp Krot %
A.) i. Define the plane polar unit vectors ŕ and 0 and show that they are orthonormal. Determine dr dê and de de ii. Hence show that for the vector r(t) = r(t)ŕ dr · = rî +rðê, d²r and = - dt dt² († − rė²)ŕ + (2ŕė +rë)ê . iii. If a mass m moves in the plane along r(t) = a and (t) = 5t determine the shape of the motion and find its period. B) Show that the motion of an object under the universal gravitational force μη Fg is governed by the radial and angular equations of motion and μ = 0, 2r0+ rö = 0. Setting r(t) =R for some constant R, solve these equations of motion and determine the period of the motion. C) Consider the following non-linear differential equation *+5= x +4. Find the stationary solutions. Expand around each of the stationary so- lutions that you have found, in order to determine if they correspond to stable or unstable equilibria. D) Show that 1 5 E = 2 - 4x is a conserved quantity. Hence draw the phase-space diagram and de- termine for which values of E oscilations…
A 2000 kg lunar lander is in orbit 30 km above the surface of the moon. It needs to move out to a 500 km -high orbit in order to link up with the mother ship that will take the astronauts home. Part A How much work must the thrusters do? Express your answer with the appropriate units. μА Value Units ?
Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 kmkm (or even higher) above the surface. Io has a mass of 8.93×1022kg8.93×1022kg and a radius of 1821 kmkm. Part A How high would this material go on earth if it were ejected with the same speed as on Io? (RERE = 6370 kmkm, mE=5.96×1024kgmE=5.96×1024kg) Express your answer with the appropriate units.
A bag of onions weighs 3.00 lb on Earth. What would it weigh on the Moon, where the free-fall acceleration is one-sixth that on Earth? Give your answer in units of newtons. 0.456 How does weight depend on the gravitational acceleration? What is the conversion factor from pounds to newtons? N What would it weigh on the surface of Pluto, where g is 0.0673 times that on Earth? Give your answer in units of newtons. What is the mass of the bag of onions in kilograms at each of the three locations? Earth 0.456 How are weight and mass related? What is the gravitational acceleration on the Earth's surface? Be sure to convert the weight from pounds to newtons before calculating the mass in kilograms. kg Мoon 0.456 Does mass depend on gravity? Should the mass be different from what it is on Earth? kg Pluto 0.456 Does mass depend on gravity? Should the mass be different from what it is on Earth? kg
In order to escape planet 1, you need an escape speed of 4.71×104 m/s. Planet 2 has the same radius as planet 1 but is twice as dense as planet 1. What is the escape speed to leave planet 2? 434 m/s 9.42×104 m/s 307 m/s 6.66×104 m/s
One of the great difficulties in landing on Venus is dealing with the crushing pressure of the atmosphere, which is 92 times the earth's atmospheric pressure. Part A If you are designing a lander for Venus in the shape of a hemisphere 2.3 m in diameter, how many newtons of inward force must it be prepared to withstand due to the Venusian atmosphere? (Don't forget about the bottom!) Express your answer with the appropriate units. HA F = Value Units Submit Request Answer Part B How much force would the lander have to withstand on the earth? Express your answer with the appropriate units. HA F = Value Units Submit Request Answer
Part A If you weigh 170.0 lb at sea level, how much would you weigh at the top of Mt. Everest? Assume the Earth's radius is 4000 miles and Everest is 5.000 miles high. Express your answer in pounds to four significant figures. ? weight = 34 lb Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining MacВook Air DII DD 80 888 F9 F4 F5 F6 F7 F1 F2 F3 @ #3 $ & 1 3 4 7 R Y F G H K * 00
Rick is an Aerospace Engineer at NASA’s Jet Propulsions Laboratory (JPL), and is designing the next mission to Pluto called “New Horizons 2: The Sequel". This time Rick plans to study Pluto's largest moon Charon. Charon has a mass of 1.586 ×1021 kg and a mean radius of 606 km, and might have a nitrogenous atmosphere (N2) just like Pluto. If, for a massive object to have an atmosphere its escape speed must be 12 times greater than the root-mean- square (rms) velocity of the gas (otherwise the gas will slowly leak away over time), what is the maximum temperature that Charon can have and still have a nitrogenous atmosphere? [Charon has a temperature of -281 °C = 55 K, day or night.]
In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 6.00×1015 kg and a radius of 8.10 km For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Phobos escape velocity. Y Part A What is the speed of a satellite orbiting 4.50 km above the surface? Express your answer with the appropriate units. D Value HA Part B Submit Request Answer What is the escape speed from the asteroid? Express your answer with the appropriate units. Submit μA Value Units Request Answer 200 Units
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