Gravity

The free-fall acceleration at the surface of planet 1 is 22 m/s^2 The radius and the mass of planet 2 are twice those of planet 1. What is the free-fall acceleration on planet 2?

11 m/s^2

What is the value of g on the surface of Saturn? Assume M Saturn = 5.68×10^26 kg and R Saturn = 5.82×10^7 m.

11.2 m/s^2

The free-fall acceleration at the surface of planet 1 is 24 m/s^2. The radius and the mass of planet 2 are twice those of planet 1. What is the free-fall acceleration on planet 2?

12 m/s^2

An earth satellite moves in a circular orbit at a speed of 7000 m/s What is its orbital period?

2.0 hr

Just before it landed on the moon, the Apollo 12 lunar lander had a mass of 1.5×10^4 kg What rocket thrust was necessary to have the lander touch down with zero acceleration?

2.4 *10^4 N

Suppose one night the radius of the earth doubled but its mass stayed the same. What would be an approximate new value for the free-fall acceleration at the surface of the earth?

2.5 m/s^2

A newly discovered planet has twice the mass and three times the radius of the earth. What is the free-fall acceleration at its surface, in terms of the free-fall acceleration g at the surface of the earth?

2/9 g

What is the free-fall acceleration at the surface of the Jupiter?

25.9 m/s^2

The dwarf planet Praamzius is estimated to have a diameter of about 300 km and orbits the sun at a distance of 6.2×10^12 m.

267 years

What is the magnitude of the gravitational force acting on the earth due to the sun?

3.53 * 10^22 N

The mass of the sun is 1.99×10^30kg and its distance to the Earth is 1.50×10^11. What is the gravitational force of the sun on the earth?

3.53×10^22 N

Mars has two moons, Phobos and Deimos. Phobos orbits Mars at a distance of 9380 km from Mars's center, while Deimos orbits at 23,500 km from the center. What is the ratio of the orbital period of Deimos to that of Phobos?

3.97

Planet X orbits the star Omega with a "year" that is 400 earth days long. Planet Y circles Omega at four times the distance of Planet X. How long is a year on Planet Y?

3200 earth days

What is the speed of a satellite orbiting at that height? Assume M earth = 5.98× 10^24 kg

5600 m/s

Assume that you stay on the Earth's surface. What is the ratio of the sun's gravitational force on you to the earth's gravitational force on you?

6.0 *10^-4

At what height above the earth is the free-fall acceleration 25 % of its value at the surface? Assume R earth = 6.37 * 10^6 m.

6.4 *10^6 m

Mars has a small moon, Phobos, that orbits with a period of 7 h 39 min. The radius of Phobos' orbit is 9.4×10^6 m. What is the mass of Mars?

6.5 * 10^23 kg

At the moment shown in the figure of the earth and sun (Figure 2), what is the direction of the gravitational force acting on the earth? The possible directions are displayed in this figure (Figure 3).

A

Mars's moon Phobos orbits the planet at a distance of 9380 km from its center, and it takes 7 hours and 39 minutes to complete one orbit. What is the ratio of Mars's mass to the mass of the Earth?

0.108

A typical running track is an oval with 74-m-diameter half circles at each end. A runner going once around the track covers a distance of 400 m. Suppose a runner, moving at a constant speed, goes once around the track in 1 min 40 s. What is her centripetal acceleration during the turn at each end of the track?

0.43 m/s^2

The gravitational force of a star on an orbiting planet 1 is F1 Planet 2, which is three times as massive as planet 1 and orbits at twice the distance from the star, experiences gravitational force F2

0.75

Planet Z is 8000 km in diameter. The free-fall acceleration on Planet Z is 8.0 m/s^2. 1) What is the mass of Planet Z? 2) What is the free-fall acceleration 1.0×10^4 km above Planet Z's north pole?

1 ) 1.9×10^24 kg 2) 0.65 m/s^2

Planet Z is 1.0×10^4 km in diameter. The free-fall acceleration on Planet Z is 9.0 m/s^2 1) What is the mass of Planet Z? 2) What is the free-fall acceleration 8000 km above Planet Z's north pole?

1) 3.4 *10^24 2) 1.3 m/s^2

The centers of a 13 kg lead ball and a 50 g lead ball are separated by 10cm. 1) What gravitational force does each exert on the other? 2) What is the ratio of this gravitational force to the weight of the 50 g ball?

1) 4.3 * 10^-9 N 2) 8.8 *10^-9

The centers of a 12 kg lead ball and a 80 g lead ball are separated by 9.0 cm. 1) What gravitational force does each exert on the other? 2)What is the ratio of this gravitational force to the weight of the 80g ball?

1) 7.9*10^-9 N 2) 1.0 * 10^-8

The International Space Station is in a 200-mile-high orbit. 1) What is the station's orbital speed? The radius of Earth is 6.37×10^6m, its mass is 5.98×10^24 kg 2) What is the station's orbital period?

1) 7720 m/s 2) 90.7 min

The radius of Mars is 3.37×10^6m and it's mass is 6.42×10^23kg How long will it take a rock dropped from 2.0 m above the surface of Mars to reach the ground?

1.0 s

The gravitational constant G was first measured accurately by Henry Cavendish in 1798. He used an exquisitely sensitive balance to measure the force between two lead spheres whose centers were 0.29 m apart. One of the spheres had a mass of 158 kg, while the mass of the other sphere was 0.63 kg. What was the ratio of the gravitational force between these spheres to the weight of the lighter sphere?

1.3 * 10^-8

A satellite orbiting the moon very near the surface has a period of 110 min. Use this information, together with the radius of the moon r=1.74×10^6 to calculate the free-fall acceleration on the moon's surface. What is the moon's acceleration due to gravity?

1.6 m/s^2

What is the free-fall acceleration at the surface of the moon?

1.62 m/s^2

Just before it landed on the moon, the Apollo 12 lunar lander had a mass of 1.2×10^4 kg.

1.9 * 10^4 N

The mass of the moon is 7.36×10^22kg and its distance to the Earth is 3.84×10^8. What is the gravitational force of the moon on the earth?

1.99 * 10^20 N

Newton's law of gravity describes the gravitational force between

All of the listed answers are correct

If a planet has the same mass as the earth, but has twice the radius, how does the surface gravity, g, compare to g on the surface of the earth?

It is four times smaller.

Which of the following changes to the earth-sun system would reduce the magnitude of the force between them to one-fourth the value found in Part A?

Reduce the mass of the earth to one-fourth its normal value. Reduce the mass of the sun to one-fourth its normal value. Reduce the mass of the earth to one-half its normal value and the mass of the sun to one-half its normal value.

The equation for the speed of a satellite in a circular orbit around the Earth depends on mass. Which mass?

The mass of the Earth

Choose the appropriate explanation how such a low value is possible given Saturn's large mass - 100 times that of Earth.

This low value is possible because the density of Saturn is so low

The radius of Jupiter is 11 times that of earth, and the free-fall acceleration near its surface is 2.5 times that on earth. If we someday put a spacecraft in low Jupiter orbit, its orbital speed will be

greater than that for an earth satellite.

Currently, the moon goes around the earth once every 27.3 days. If the moon could be brought into a new circular orbit with a smaller radius, its orbital period would be

less than 27.3 days