The Law of Universal Gravitation

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Presentation transcript:

The Law of Universal Gravitation Force of Gravity The Law of Universal Gravitation

Gravity attracts any two objects depending on their masses and their distance apart. Newton’s Universal Law of Gravitation states: Fg = GMm r2 Where: G = Universal Gravitational Constant = 6.67 x 10-11 Nm2/kg2 M = mass of first object m = mass of second object r = distance between their centers of mass

Ex 1: What is the force of gravity exerted on a 70 Ex 1: What is the force of gravity exerted on a 70.0 kg astronaut that is standing on Earth’s surface? Radius of Earth = 6.38 x 106 m Mass of Earth = 5.98 x 10 24 kg

Distance above the Earth’s surface Ex 2: What is the force of gravity acting on a 70.0 kg astronaut who is at an altitude of 6.38 x 106 m? Distance above the Earth’s surface

Ex 3: Two physics lab partners sit side by side Ex 3: Two physics lab partners sit side by side. One has a mass of 55 kg and the other a mass of 65 kg. If they sit 50.0 cm apart, what is the irresistible force of attraction between them?

A typical problem type… An astronaut weighs 800 N on Planet X A typical problem type… An astronaut weighs 800 N on Planet X. How much would she weigh if she was at an altitude equal to the radius of Planet X?

A spaceship orbits a planet at radius, r and weighs 10 000N A spaceship orbits a planet at radius, r and weighs 10 000N. How much would it weigh if it orbits a planet twice as massive at half the radius?