Related questions
Question
Transcribed Image Text:Flying Circus of Physics
The mysterious visitor that appears in the enchanting story The Little Prince was
said to come from a planet that "was scarcely any larger than a house!" Assume
that the mass per unit volume of the planet is about that of Earth and that the
planet does not appreciably spin. Take the diameter of the planet to be 14 m.
Approximate (a) the free-fall acceleration on the planet's surface and (b) the
escape speed from the planet.
(a) Number
(b) Number
Units
Units
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
- The existence of the dwarf planet Pluto was proposed based on irregularities in Neptune's orbit. Pluto was subsequently discovered near its predicted position. But it now appears that the discovery was fortuitous, since Pluto is small and the irregularities in Neptune's orbit were not well known. Answer the following to illustrate that Pluto has a minor effect on the orbit of Neptune compared with other planets. (a) Calculate the acceleration of gravity at Neptune due to Pluto when they are 3.8 x 1012 m apart. The mass of Pluto is 1.3 x 1022 kg. = 915 m/s² (b) Calculate the acceleration of gravity at Neptune due to Uranus, when they are 3.8 x 1012 m apart. The mass of Uranus is 8.68 x 1025 kg. 92 = m/s² Give the ratio of this acceleration to that due to Pluto. 92 91arrow_forwardConsider a planet that has two layers. There is a core, which has density 9.9 x 103 kg/m3 and radius 3.9 x 106 m, and then there is a crust, which has density 4.9 x 103 kg/m3 and sits on top of the core. The planet has a total radius of 16.9 x 106 m. Calculate the acceleration due to gravity at the surface of this planet, in N/kg. Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forwardAssume you are agile enough to run across a horizontal surface at 8.50 m/s, independently of the value of the gravitational field. What would be (a) the radius and (b) the mass of an airless spherical asteroid of uniform density 1.10 × 103 kg/m3 on which you could launch yourself into orbit by running? (c) What would be your period? (d) Would your running significantly affect the rotation of the asteroid? Explain.arrow_forward
- An undiscovered planet, many light-years from Earth, has one moon, which has a nearly circular periodic orbit. If the distance from the center of the moon to the surface of the planet is 2.270 × 105 km and the planet has a radius of 4.200 × 103 km and a mass of 7.75 × 1022 kg, how long (in days) does it take the moon to make one revolution around the planet? The gravitational constant is 6.67 × 10-11(Nm2)/(kg2).arrow_forwardPlanet X is a sphere where a 0.5 kg block weighs 36 N when sitting on the surface. If an object is dropped from rest at a distance 9R from X's center it is observed to impact the surface at a speed of 16,000 m/s. Find a value for the radius of planet X.arrow_forwardNeeds Complete solution.arrow_forward
- You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be 1.50×107 m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 2.50×1011 m from its star with a period of 402 earth days. Once on the surface you find that the free-fall acceleration is 13.1m/s2. What is the mass of the planet? Express your answer with the appropriate units. What is the mass of the star? Express your answer with the appropriate units.arrow_forwardCurrent Attempt in Progress One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M-2.97 x 1024 kg and R-8.31 x 10 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet? (a) Number (b) Number Units Unitsarrow_forwardAn asteroid, whose mass is 2.0 × 10-4 times the mass of Earth, revolves in a circular orbit around the Sun at a distance that is 2.7 times the Earth's distance from the Sun. (a) Calculate the period of revolution of the asteroid in years. (b) What is the ratio of the kinetic energy of the asteroid to the kinetic energy of Earth? (a) Number i Units (b) Number i Unitsarrow_forward
- Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 5390 km. Satellite B is to orbit at an altitude of 22500 km. The radius of Earth REis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 11.7 kg? (d) By how much?arrow_forwardThe orbit of the planet Venus is nearly circular with an orbital velocity of 126.5x103 km/h. Knowing that the mean distance from the center of the sun to the center of Venus is 108.5?1021 km and that the radius of the sun is 695.5x103 km, determine (a) the mass of the sun, (b) the acceleration of gravity at the surface of the sun.arrow_forward(a) What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 160 km above Earth's surface? (b) What is the period of revolution? Take the mass of earth as 5.98×1024 kg and the radius as 6.37×106 marrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios