Exam 13: Gravitation

A satellite is orbiting the earth.If a payload of material is added until it doubles the satellite's mass,the earth's pull of gravity on this satellite will double but the satellite's orbit will not be affected.

The gravitational acceleration on a planet's surface is 16.0 m/s².What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet?

A planet has two small satellites in circular orbits around the planet.The first satellite has a period 18.0 hours and an orbital radius 2.00 × 10⁷ m.The second planet has an orbital radius 3.00 × 10⁷ m.What is the period of the second satellite?

By how many newtons does the weight of a 100-kg person change when he goes from sea level to an altitude of 5.0 km if we neglect the earth's rotational effects? (The mean radius of the Earth is 6.38 × 10⁶ m,G = 6.67 × 10^-11 N • m²/kg².)

Ekapluto is an unknown planet that has two spherical moons in circular orbits.The table summarizes the hypothetical data about the moons.Both moons have low axial spin rates. The acceleration due to gravity at the surface of Moon B is

A meteoroid,heading straight for Earth,has a speed of 14.8 km/s relative to the center of Earth as it crosses our moon's orbit,a distance of 3.84 × 10⁸ m from the earth's center.What is the meteroid's speed as it hits the earth? You can neglect the effects of the moon,Earth's atmosphere,and any motion of the earth.(G = 6.67 × 10^-11 N • m²/kg²,

A huge cannon is assembled on an airless planet having insignificant axial spin.The planet has a radius of 5.00 × 10⁶ m and a mass of .The cannon fires a projectile straight up at 2000 m/s.An observation satellite orbits the planet at a height of 1000 km.What is the projectile's speed as it passes the satellite? (G = 6.67 × 10^-11 N • m²/kg²)

The reason an astronaut in an earth satellite feels weightless is that

A certain planet has an escape speed V.If another planet has twice size and twice the mass of the first planet,its escape speed will be

Sputnik I was launched into orbit around Earth in 1957.It had a perigee (the closest approach to Earth,measured from Earth's center)of and an apogee (the furthest point from Earth's center)of .What was its speed when it was at its perigee? The mass of Earth is and G = 6.67 × 10^-11 N • m²/kg².

A certain spherical asteroid has a mass of 3.5 × 10¹⁶ kg and a radius of 8.8 km.What is the minimum speed needed to escape from the surface of this asteroid?

A small-sized 155-kg mass is located 1.50 m from a small-sized 275-kg mass,with both masses fixed in place.Where should you place a third small-sized mass so that the net gravitational force on it due to the original two masses is zero?

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 1.8 × 10⁷ m and its rotation period to be 22.3 hours.You have previously determined that the planet orbits from its star with a period of 402 earth days.Once on the surface you find that the acceleration due to gravity is 59.7 m/s².What are the mass of (a)the planet and (b)the star?

A satellite is in circular orbit at an altitude of 1500 km above the surface of a nonrotating planet with an orbital speed of 9.2 km/s.The minimum speed needed to escape from the surface of the planet is 14.9 km/s,and G = 6.67 × 10^-11 N • m²/kg².The orbital period of the satellite is closest to

Find the orbital speed of an ice cube in the rings of Saturn.The mass of Saturn is 5.68 × 10²⁶ kg and the rings have an average radius of 100,000 km.

The moons of Mars,Phobos (Fear)and Deimos (Terror),are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the period of revolution of Phobos to that of Deimos?

Ekapluto is an unknown planet that has two moons in circular orbits.The table summarizes the hypothetical data about the moons. The mass of Ekapluto is closest to

Beings on spherical asteroid Π have observed that a large rock is approaching their asteroid in a collision course.At from the center of the asteroid,the rock has a speed of and later at it has a speed of Use energy conservation to find the mass of asteroid Π.You can neglect any effects due to the parent star of the asteroid.

The International Space Station is orbiting at an altitude of about 370 km above the earth's surface.The mass of the earth is 5.97 × 10²⁴ kg,the radius of the earth is ,and .Assuming a circular orbit, (a)what is the period of the International Space Station's orbit? (b)what is the speed of the International Space Station in its orbit?

From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.9200g? The radius of the earth is 6.38 × 10⁶ m.