Question 1

The force of gravity between Saturn and the Sun is ________ the force of gravity between Earth and the Sun.For reference, Saturn is approximately 100 times more massive than Earth, and the semimajor axis of Saturn's orbit is 10 AU.

Accepted Answer

E

Question 2

The distance used in Newton's law of gravitation is

Accepted Answer

Newton's law of gravitation uses the distance between the centers of the two objects to calculate the gravitational force between them.

Question 3

If you weighed 150 lb on Earth, what would you weigh on Mars? For reference, Mars has a mass that is 0.1 times Earth's mass and Mars has a radius that is 0.5 times Earth's radius.

Accepted Answer

The gravitational force on Mars is about 0.38 times that on Earth. Therefore, if you weigh 150 lb on Earth, you would weigh 150 lb * 0.38 = 57 lb, which is closest to 60 lb.

Question 4

Which of the following properties of an astronaut changes when he or she is standing on the Moon, relative to when the astronaut is standing on Earth?

Accepted Answer

Weight changes because it depends on the gravitational force, which is weaker on the Moon compared to Earth. Mass, inertia, and height remain the same.

Question 5

Suppose you are suddenly transported to a planet with 1/4 the mass of Earth but the same radius as Earth.Your weight would ________ by a factor of ________.

Accepted Answer

Your weight would decrease by a factor of 4 because gravitational force is directly proportional to the mass of the planet. Since the planet's mass is 1/4 of Earth's, your weight would be 1/4 of what it is on Earth.

Question 6

If a person having mass, M, is standing on the ground and experiencing an acceleration due to gravity of g, what is the correct formula for the person's weight, F?

Accepted Answer

The weight of a person is given by the formula F = mg, where m is the mass of the person and g is the acceleration due to gravity.

Question 7

The force of gravity that an object has is directly proportional to its

Accepted Answer

The force of gravity on an object is directly proportional to its mass, as described by Newton's law of universal gravitation.

Question 8

An astronaut who weighs 700 N on Earth is in empty space, very far from any other objects.Approximately what is the mass of the astronaut?

Accepted Answer

The weight of an object on Earth is given by the formula: weight = mass × gravitational acceleration (9.8 m/s²). So, mass = weight / gravitational acceleration = 700 N / 9.8 m/s² ≈ 70 kg.

Question 9

Two rocks (call them S and T) are a distance of 50 km from one another in empty space.Rock S has 20 times the mass of rock T.Considering only their mutual gravitational force, which rock will accelerate faster in response to gravity?

Accepted Answer

According to Newton's second law, acceleration is inversely proportional to mass when the force is constant. Since rock S has 20 times the mass of rock T, rock T will accelerate faster.

Question 10

Two rocks (call them S and T) are released at the same time from the same height and start from rest.Rock S has 20 times the mass of rock T.Which rock will fall faster if the only forces involved are each rock's mutual gravitational attraction with Earth?

Accepted Answer

In the absence of air resistance, all objects fall at the same rate due to gravity, regardless of their mass.

Question 11

If the distance between Earth and the Sun were cut in half, the gravitational force between these two objects would

Accepted Answer

According to Newton's law of universal gravitation, the gravitational force is inversely proportional to the square of the distance between two objects. If the distance is halved, the force increases by a factor of 4 (since (1/0.5)^2 = 4).

Question 12

Suppose you are suddenly transported to a planet that had 1/4 the radius of Earth but the same mass as Earth.Your weight would ________ by a factor of ________.

Accepted Answer

Your weight would increase by a factor of 16 because gravitational force is inversely proportional to the square of the radius. If the radius is reduced to 1/4, the gravitational force increases by (1/(1/4)^2) = 16 times.

Question 13

A quantity that follows an inverse square law

Accepted Answer

A quantity that follows an inverse square law decreases with the square of the distance, represented mathematically as 1/r².

Question 14

Earth is held together in the shape of a sphere.This is due to

Accepted Answer

Earth is held together in the shape of a sphere primarily due to its self-gravity, which pulls matter towards the center, creating a roughly spherical shape.

Question 15

Between any two objects with mass, the force of gravity is always

Accepted Answer

The force of gravity is always attractive between any two objects with mass, as described by Newton's law of universal gravitation.

Question 16

The force of gravity between Earth and the Sun is approximately ________ the force of gravity between Earth and the Moon.For reference, the average distance between Earth and the Moon is 0.003 astronomical unit (AU), the mass of the Moon is 7 * 10²² kg, and the mass of the Sun is 2 * 10³⁰ kg.

Accepted Answer

The answer of The force of gravity between Earth and...

Question 17

In the absence of air friction, a 0.001-kg piece of paper and a 0.1-kg notebook are dropped from the same height and allowed to fall to the ground.How do their accelerations compare?

Accepted Answer

In the absence of air friction, all objects fall with the same acceleration due to gravity, regardless of their mass.

Question 18

According to the scales shown in the figure below, about how many times stronger is gravity on Earth than on the Moon?

Accepted Answer

The answer of According to the scales shown in the...

Question 19

If you weighed 100 lb on Earth, what would you weigh at the upper atmosphere of Jupiter? For reference, Jupiter has a mass that is about 300 times Earth's mass and a radius that is 10 times Earth's radius.

Accepted Answer

The answer of If you weighed 100 lb on Earth,...

Question 20

According to the progression shown in the figure below, if the distance between two objects is increased to four times its original value, the gravitational force between the two objects would be ________ times its original value.

Accepted Answer

The answer of According to the progression shown in the...

Quiz 4: Gravity and Orbits

The force of gravity between Saturn and the Sun is ________ the force of gravity between Earth and the Sun.For reference, Saturn is approximately 100 times more massive than Earth, and the semimajor axis of Saturn's orbit is 10 AU.

The distance used in Newton's law of gravitation is

If you weighed 150 lb on Earth, what would you weigh on Mars? For reference, Mars has a mass that is 0.1 times Earth's mass and Mars has a radius that is 0.5 times Earth's radius.

Which of the following properties of an astronaut changes when he or she is standing on the Moon, relative to when the astronaut is standing on Earth?

Suppose you are suddenly transported to a planet with 1/4 the mass of Earth but the same radius as Earth.Your weight would by a factor of .

If a person having mass, M, is standing on the ground and experiencing an acceleration due to gravity of g, what is the correct formula for the person's weight, F?

The force of gravity that an object has is directly proportional to its

An astronaut who weighs 700 N on Earth is in empty space, very far from any other objects.Approximately what is the mass of the astronaut?

Two rocks (call them S and T) are a distance of 50 km from one another in empty space.Rock S has 20 times the mass of rock T.Considering only their mutual gravitational force, which rock will accelerate faster in response to gravity?

Two rocks (call them S and T) are released at the same time from the same height and start from rest.Rock S has 20 times the mass of rock T.Which rock will fall faster if the only forces involved are each rock's mutual gravitational attraction with Earth?

If the distance between Earth and the Sun were cut in half, the gravitational force between these two objects would

Suppose you are suddenly transported to a planet that had 1/4 the radius of Earth but the same mass as Earth.Your weight would by a factor of .

A quantity that follows an inverse square law

Earth is held together in the shape of a sphere.This is due to

Between any two objects with mass, the force of gravity is always

The force of gravity between Earth and the Sun is approximately ________ the force of gravity between Earth and the Moon.For reference, the average distance between Earth and the Moon is 0.003 astronomical unit (AU) , the mass of the Moon is 7 * 10²² kg, and the mass of the Sun is 2 * 10³⁰ kg.

In the absence of air friction, a 0.001-kg piece of paper and a 0.1-kg notebook are dropped from the same height and allowed to fall to the ground.How do their accelerations compare?

According to the scales shown in the figure below, about how many times stronger is gravity on Earth than on the Moon?

If you weighed 100 lb on Earth, what would you weigh at the upper atmosphere of Jupiter? For reference, Jupiter has a mass that is about 300 times Earth's mass and a radius that is 10 times Earth's radius.

According to the progression shown in the figure below, if the distance between two objects is increased to four times its original value, the gravitational force between the two objects would be ________ times its original value.

Quiz 4: Gravity and Orbits

The force of gravity between Saturn and the Sun is ________ the force of gravity between Earth and the Sun.For reference, Saturn is approximately 100 times more massive than Earth, and the semimajor axis of Saturn's orbit is 10 AU.

The distance used in Newton's law of gravitation is

If you weighed 150 lb on Earth, what would you weigh on Mars? For reference, Mars has a mass that is 0.1 times Earth's mass and Mars has a radius that is 0.5 times Earth's radius.

Which of the following properties of an astronaut changes when he or she is standing on the Moon, relative to when the astronaut is standing on Earth?

Suppose you are suddenly transported to a planet with 1/4 the mass of Earth but the same radius as Earth.Your weight would ________ by a factor of ________.

If a person having mass, M, is standing on the ground and experiencing an acceleration due to gravity of g, what is the correct formula for the person's weight, F?

The force of gravity that an object has is directly proportional to its

An astronaut who weighs 700 N on Earth is in empty space, very far from any other objects.Approximately what is the mass of the astronaut?

Two rocks (call them S and T) are a distance of 50 km from one another in empty space.Rock S has 20 times the mass of rock T.Considering only their mutual gravitational force, which rock will accelerate faster in response to gravity?

Two rocks (call them S and T) are released at the same time from the same height and start from rest.Rock S has 20 times the mass of rock T.Which rock will fall faster if the only forces involved are each rock's mutual gravitational attraction with Earth?

If the distance between Earth and the Sun were cut in half, the gravitational force between these two objects would

Suppose you are suddenly transported to a planet that had 1/4 the radius of Earth but the same mass as Earth.Your weight would ________ by a factor of ________.

A quantity that follows an inverse square law

Earth is held together in the shape of a sphere.This is due to

Between any two objects with mass, the force of gravity is always

The force of gravity between Earth and the Sun is approximately ________ the force of gravity between Earth and the Moon.For reference, the average distance between Earth and the Moon is 0.003 astronomical unit (AU) , the mass of the Moon is 7 * 1022 kg, and the mass of the Sun is 2 * 1030 kg.

In the absence of air friction, a 0.001-kg piece of paper and a 0.1-kg notebook are dropped from the same height and allowed to fall to the ground.How do their accelerations compare?

According to the scales shown in the figure below, about how many times stronger is gravity on Earth than on the Moon?

If you weighed 100 lb on Earth, what would you weigh at the upper atmosphere of Jupiter? For reference, Jupiter has a mass that is about 300 times Earth's mass and a radius that is 10 times Earth's radius.

According to the progression shown in the figure below, if the distance between two objects is increased to four times its original value, the gravitational force between the two objects would be ________ times its original value.

Suppose you are suddenly transported to a planet with 1/4 the mass of Earth but the same radius as Earth.Your weight would by a factor of .

Suppose you are suddenly transported to a planet that had 1/4 the radius of Earth but the same mass as Earth.Your weight would by a factor of .

The force of gravity between Earth and the Sun is approximately ________ the force of gravity between Earth and the Moon.For reference, the average distance between Earth and the Moon is 0.003 astronomical unit (AU) , the mass of the Moon is 7 * 10²² kg, and the mass of the Sun is 2 * 10³⁰ kg.