Which is stronger, Earth’s pull on the Moon, or the Moon’s pull on Earth? 1) the Earth pulls harder on the Moon 2) the Moon pulls harder on the Earth 3)

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Presentation transcript:

Which is stronger, Earth’s pull on the Moon, or the Moon’s pull on Earth? 1) the Earth pulls harder on the Moon 2) the Moon pulls harder on the Earth 3) they pull on each other equally 4) there is no force between the Earth and the Moon 5) it depends upon where the Moon is in its orbit at that time

By Newton’s 3 rd Law, the forces are equal and opposite. Which is stronger, Earth’s pull on the Moon, or the Moon’s pull on Earth? 1) the Earth pulls harder on the Moon 2) the Moon pulls harder on the Earth 3) they pull on each other equally 4) there is no force between the Earth and the Moon 5) it depends upon where the Moon is in its orbit at that time

If the distance to the Moon were doubled, then the force of attraction between Earth and the Moon would be: 1) one quarter 2) one half 3) the same 4) two times 5) four times

increase distance2forcedecrease 4 The gravitational force depends inversely on the distance squared. So if you increase the distance by a factor of 2, the force will decrease by a factor of 4. If the distance to the Moon were doubled, then the force of attraction between Earth and the Moon would be: 1) one quarter 2) one half 3) the same 4) two times 5) four times Follow-up: What distance would increase the force by a factor of 2?

You weigh yourself on a scale inside an airplane that is flying with constant speed at an altitude of 20,000 feet. How does your measured weight in the airplane compare with your weight as measured on the surface of the Earth? 1) greater than 2) less than 3) same

You weigh yourself on a scale inside an airplane that is flying with constant speed at an altitude of 20,000 feet. How does your measured weight in the airplane compare with your weight as measured on the surface of the Earth? 1) greater than 2) less than 3) same At a high altitude, you are farther away from the center of Earth. Therefore, the gravitational force in the airplane will be less than the force that you would experience on the surface of the Earth.

Two satellites A and B of the same mass are going around Earth in concentric orbits. The distance of satellite B from Earth’s center is twice that of satellite A. What is the ratio of the centripetal force acting on B compared to that acting on A? 1) 1/8 2) 1/4 3) 1/2 4) it’s the same 5) 2

Using the Law of Gravitation: we find that the ratio is 1/4. Two satellites A and B of the same mass are going around Earth in concentric orbits. The distance of satellite B from Earth’s center is twice that of satellite A. What is the ratio of the centripetal force acting on B compared to that acting on A? 1) 1/8 2) 1/4 3) 1/2 4) it’s the same 5) 2 Note the 1/r 2 factor

The Moon does not crash into Earth because: 1) it’s in Earth’s gravitational field 2) the net force on it is zero 3) it is beyond the main pull of Earth’s gravity 4) it’s being pulled by the Sun as well as by Earth 5) none of the above

The Moon does not crash into Earth because of its high speed. If it stopped moving, it would, of course, fall directly into Earth. With its high speed, the Moon would fly off into space if it weren’t for gravity providing the centripetal force. The Moon does not crash into Earth because: 1) it’s in Earth’s gravitational field 2) the net force on it is zero 3) it is beyond the main pull of Earth’s gravity 4) it’s being pulled by the Sun as well as by Earth 5) none of the above Follow-up: What happens to a satellite orbiting Earth as it slows?