Question 1

When a falling meteor is at a distance above the Earth's surface of 3 times the Earth's radius, what is its acceleration due to the Earth's gravity?

Accepted Answer

The answer of When a falling meteor is at a...

Question 2

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 10³⁰ kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

Accepted Answer

The answer of The planet Venus requires 225 days to...

Question 3

What is the period of revolution of a planet in circular orbit around a star of 4.0 solar masses if it is at a distance from the star equal to that of the Earth from the Sun?

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The answer of What is the period of revolution of...

Question 4

Calculate the Earth's angular momentum in the approximation that treats the Earth's orbit around the sun as a circle. (M_Sun = 1.99 × 10³⁰ kg; T = 3.156 × 10⁷ s; M_E = 5.98 × 10²⁴ kg.)

Accepted Answer

The answer of Calculate the Earth's angular momentum in the...

Question 5

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? M_SUN = 2.0 × 10³⁰ kg, r_S-E = 1.5 × 10⁸ km M_MOON = 7.4 × 10²² kg, r_M-E = 3.8 × 10⁵ km

Accepted Answer

The answer of At the moment of a total eclipse,...

Question 6

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm³, and g = 9.80 m/s² near the surface of the Earth. What value did Newton obtain for G?

Accepted Answer

The answer of Isaac Newton was able to estimate a...

Question 7

Carla and Jenny are arguing about whether or not it is possible to escape the gravitational field of the Earth. Carla shows Jenny a system where mass m is r_E (not the Earth's radius) distant from Earth and r_P (not planet P's radius) distant from planet P, the mass being on the line connecting the Earth and planet P. Carla states that the mass m has escaped if F_{P on m} = −F_{E on m}. Jenny disagrees. Which one, if either, is correct, and why?

Accepted Answer

Jenny is correct because gravitational force extends indefinitely, decreasing with distance but never reaching zero. Thus, even if the forces from Earth and planet P on mass m are equal and opposite at a certain point, the gravitational influence of Earth on m does not disappear.

Quiz 13: Universal Gravitation

When a falling meteor is at a distance above the Earth's surface of 3 times the Earth's radius, what is its acceleration due to the Earth's gravity?

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 1030 kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

What is the period of revolution of a planet in circular orbit around a star of 4.0 solar masses if it is at a distance from the star equal to that of the Earth from the Sun?

Calculate the Earth's angular momentum in the approximation that treats the Earth's orbit around the sun as a circle. (MSun = 1.99 × 1030 kg; T = 3.156 × 107 s; ME = 5.98 × 1024 kg.)

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? MSUN = 2.0 × 1030 kg, rS-E = 1.5 × 108 km MMOON = 7.4 × 1022 kg, rM-E = 3.8 × 105 km

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm3, and g = 9.80 m/s2 near the surface of the Earth. What value did Newton obtain for G?

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 10³⁰ kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

Calculate the Earth's angular momentum in the approximation that treats the Earth's orbit around the sun as a circle. (M_Sun = 1.99 × 10³⁰ kg; T = 3.156 × 10⁷ s; M_E = 5.98 × 10²⁴ kg.)

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? M_SUN = 2.0 × 10³⁰ kg, r_S-E = 1.5 × 10⁸ km M_MOON = 7.4 × 10²² kg, r_M-E = 3.8 × 10⁵ km

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm³, and g = 9.80 m/s² near the surface of the Earth. What value did Newton obtain for G?