Gravitational Force

Gravitational Force

Multiple Choice

In a binary star system, two stars are in orbit around each other. Star A has a mass of 2 solar masses, and Star B has a mass of 0.5 solar masses. Which star experiences a greater gravitational force due to the other star, and why?

• Star A, because it has a larger mass than Star B.

• Star B, because it has a smaller mass than Star A.

• Both stars experience the same gravitational force due to each other.

• The gravitational force depends on the distance between the stars, so we need more information to answer the question.

Explanation

The gravitational force between two objects depends on their masses and the distance between them. According to Newton's Law of Universal Gravitation, the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. Since both stars are in orbit around each other, they experience equal and opposite gravitational forces due to each other. However, the magnitude of the force experienced by each star depends on its mass. Star A has a mass of 2 solar masses, which is larger than the mass of Star B, so it experiences a greater gravitational force due to Star B. Therefore, the correct answer is A.

Multiple Choice

A spacecraft is sent to orbit around a planet that has a mass of 3.0 x 10^24 kg and a radius of 6.0 x 10^6 m. If the spacecraft orbits at a distance of 4.0 x 10^7 m from the center of the planet, what is the gravitational force acting on the spacecraft due to the planet?

• 2.8 x 10^7 N

• 6.7 x 10^-11 N

• 1.3 x 10^12 N

• 3.0 x 10^7 N

Explanation

The gravitational force between two objects depends on their masses and the distance between them. According to Newton's Law of Universal Gravitation, the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. In this case, the mass of the planet, its radius, and the distance of the spacecraft from the center of the planet are provided. We can use these values to calculate the gravitational force acting on the spacecraft due to the planet. The formula for gravitational force is F = G (m1 m2) / r^2, where G is the gravitational constant (6.67 x 10^-11 N m^2 / kg^2), m1 is the mass of one object (the planet in this case), m2 is the mass of the other object (the spacecraft in this case), and r is the distance between the two objects. Plugging in the values, we get:

F = G (m1 m2) / r^2 F = (6.67 x 10^-11) (3.0 x 10^24) (1.0) / (4.0 x 10^7 + 6.0 x 10^6)^2 F = 2.8 x 10^7 N

Therefore, the correct answer is A.

Multiple Choice

When placed at equal distances apart, the greatest gravitational attraction will be between two

• skateboards

• bowling balls

• school buses

Multiple Choice

Which is needed to determine the amount of gravitational force between two objects?

• distance and mass

• weight and time

• area and weight

Multiple Choice

The gravitational force exerted by an object depends on its

• volume

• mass

• weight

Multiple Choice

A student drops a bowling ball and an apple from a third-story window. Both objects hit the ground at the same time. From the experiment, the student should conclude that

• the apple weighs more than the bowling ball

• more air friction is acting on the apple than on the bowling ball

• gravity pulls on both objects, causing them to fall at the same time.

Multiple Choice

What is gravitational force?

• It makes objects at rest start moving.

• It makes objects that are moving stop.

• The force of attraction between two objects.

• It pulls you into space.

Multiple Choice

Jupiter has about 317 times more mass than Earth. What can you infer from this fact? 

• That Jupiter’s gravitational force is much weaker than on Earth’s gravitational force.

• That Jupiter’s gravitational force is much stronger than Earth’s gravitational force.

• That Jupiter’s and Earth’s gravitational forces are equal.

• Mass has no effect on the gravitational force between two objects