Question

In: Physics

The moon has a mass of about 7.3x1022kg amd a radius of 1738km. a)Calculate the escape...

The moon has a mass of about 7.3x1022kg amd a radius of 1738km.

a)Calculate the escape speed from the surface of the moon. Express the answer in km/sec.

b) A spacecraft of mass 250kg is launched from the surface of the moon at a speed of 1500m/sec. Using conservation of mechanical energy, compute the maximum distance reached by the spacecraft, at which the spacecraft comes to a stop.
c) if the spacecraft is launched with an initial speed of 5500m/sec from the surface of the moon, use conservation of mechanical energy to determine how fast the spacecraft will be traveling when it is very far from the moon.

Solutions

Expert Solution

comments

A) the escape speed of moon was found to be 2367.789 m/s.

B) the maximum height of the spacecraft was found to be 6.92*10^5 m.

C) the final speed of the space craft was found to be 5500 m/s.


Related Solutions

The mass of the moon is 7.34 × 1022 kg, and its radius is about 1.74...
The mass of the moon is 7.34 × 1022 kg, and its radius is about 1.74 × 106 m (a) What is the value of “gmoon”, that is, the acceleration of gravity for a falling object near the surface of the moon? (b) What is the escape speed (from the moon) for an object on the surface of the moon? (c) What is the escape speed from the earth for an object that is as far from the earth as...
A)The mass of the Moon is 7.4 × 1022 kg, its radius is 1.74 × 103...
A)The mass of the Moon is 7.4 × 1022 kg, its radius is 1.74 × 103 km, and it has no atmosphere. What is the acceleration (in m/s2) due to gravity at the surface of the Moon? (G = 6.67 × 10-11 N ∙ m2/kg2) B)From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 5.97 × 1024 kg,...
a) What is the angular momentum of the Moon around the Earth? The Moon mass is...
a) What is the angular momentum of the Moon around the Earth? The Moon mass is 7.40e22 kg and it orbits 3.80e8 meters from the Earth. b) And what is the angular momentum of the Earth around the Sun? Mass of the Earth is 5.98e24 kg and it orbits 1.50el 1 m from the Sun.
A geologist finds that a Moon rock whose mass is 9.08 kgkg has an apparent mass...
A geologist finds that a Moon rock whose mass is 9.08 kgkg has an apparent mass of 6.06 kgkg when submerged in water. Part A What is the density of the rock? Express your answer to three significant figures and include the appropriate units.
A sphere of matter, of mass M and radius a, has a concentric cavity of radius...
A sphere of matter, of mass M and radius a, has a concentric cavity of radius b. Find the gravitational force F exerted by the sphere on a particle of mass m, located a distance rfrom the center of the sphere, as a function of r in the range 0 ? r ? ? . Consider points r = 0; b; a and ? in particular.
There is a satellite of mass m in an orbit radius R about a planet with...
There is a satellite of mass m in an orbit radius R about a planet with mass M. a. What is the sum of the kinetic energy and the gravitational potential energy of the satellite? b. What is the energy required for the satellite to escape the planet's gravity?
(a) What is the escape speed on a spherical asteroid whose radius is 550 km and...
(a) What is the escape speed on a spherical asteroid whose radius is 550 km and whose gravitational acceleration at the surface is 3.3m/s2 m/s (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1000 m/s?   m (c) With what speed will an object hit the asteroid if it is dropped from 1000 km above the surface?   m/s
(a) What is the escape speed on a spherical asteroid whose radius is 376 km and...
(a) What is the escape speed on a spherical asteroid whose radius is 376 km and whose gravitational acceleration at the surface is 0.683 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 445 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 592.7 km above the surface?
A hollow ball has mass M=2.0kg, radius R=0.35m, and moment of inertia about the center of...
A hollow ball has mass M=2.0kg, radius R=0.35m, and moment of inertia about the center of mass I=(2/3)MR2. The ball is thrown without bouncing, to the right with an initial speed 2.0m/s and backspin. The hoop moves across the rough floor (coefficient of sliding friction = 0.25) and returns to its original position with a speed of 0.5 m/s. All surfaces and the hoop may be treated as ideally rigid. Develop an expression for angular velocity of the hoop as...
Calculate the mass of the sun from the radius of the earth's orbit (1.50×1011 m), the...
Calculate the mass of the sun from the radius of the earth's orbit (1.50×1011 m), the earth's period in its orbit, and the gravitational constant G. What is the density of the sun ? (The sun's radius is 6.96×108 m). Notice how it compares with the density of the earth.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT