Question

1) The Earth’s Radius is 6.4x106 m and Earth’s mass is 6.0x1024 kg (A) What is...

1) The Earth’s Radius is 6.4x106 m and Earth’s mass is 6.0x1024 kg

(A) What is Earth’s angular momentum (assume it is a uniform solid sphere)

(B) By what percent would the Earth’s angular momentum change if it is hit by an asteroid like the one the killed the dinosaurs (m=6.5x1012 kg, v=31 km/s). Assume the asteroid hits the equator heading exactly East at 30o from the horizontal.

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Answer #1

A)Time period of earth around its own axis

Earths angular momentum B)

New angular momentum of earth is

Change in angular momentum

The asteroid is hitting earth with velocity at an angle from horizotal (at equator).The axis of rotation is passing through poles. Components of velocity is at distance from axis of rotation and is passing through the axis of rotation. Hence velocity component giving the new angular momentum is

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