Physics

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The Earth has an angular speed of 7.272·10-5 rad/s in its rotation. Find the new angular speed if an asteroid (m = 3.45·1022 kg) hits the Earth while traveling at a speed of 4.41·103 m/s (assume the asteroid is a point mass compared to the radius of the Earth) in each of the following cases:

a) The asteroid hits the Earth dead center.

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b) The asteroid hits the Earth nearly tangentially in the direction of Earth's rotation.

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c) The asteroid hits the Earth nearly tangentially in the direction opposite of Earth's rotation.

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