Gravitational Force

Calculate the force between two objects that have masses of 70 kilograms and 2,000 kilograms separated by a distance of 1 meter.

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CCSS.8.EE.A.4

Calculate the force between two touching grapefruits each with a radius of 0.08 meters and a mass of 0.45 kilograms.

Calculate the force between one grapefruit as described above and Earth. Earth has a mass of 5.9742 × 10^24 kg and a radius of 6.3710 × 10^6 meters. Assume the grapefruit is resting on Earth’s surface.

Tags

CCSS.8.EE.A.4

A man on the moon with a mass of 90 kilograms weighs 146 newtons. The radius of the moon is 1.74 × 10^6 meters. Find the mass of the moon.

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CCSS.8.EE.A.4

For m = 5.9742 × 10^24 kilograms and r = 6.378 × 10^6 meters, what is the value given by this equation: ? a. Write down your answer and simplify the units. b. What does this number remind you of? c. What real-life values do m and r correspond to?

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CCSS.8.EE.A.4

The distance between Earth and its moon is 3.84 × 10^8 meters. Earth’s mass is m = 5.9742 × 10^24 kilograms and the mass of the moon is 7.36 × 10^22 kilograms. What is the force between Earth and the moon?

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CCSS.8.EE.A.4

A satellite is orbiting Earth at a distance of 35 kilometers. The satellite has a mass of 500 kilograms. What is the force between the planet and the satellite?

The mass of the sun is 1.99 × 10^30 kilograms and its distance from Earth is 150 million kilometers (150 × 10^9 meters). What is the gravitational force between the sun and Earth?

Tags

CCSS.8.EE.A.4