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Q.48 - Excercises And Problems

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 355

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Short Answer

Two spherical asteroids have the same radius . Asteroidhas mass and asteroid has mass The two asteroids are released from rest with distance between their centers. What is the speed of each asteroid just before they collide?

Hint: You will need to use two conservation laws.

The speed of each asteroid is and

See the step by step solution

Step by Step Solution

Step 1: Given information

Mass of asteroid

Mass of asteroid

Radius of each asteroid

Initial distance between their centers

Initial velocity of both asteroids; (because they are released from rest).

Step 2: Explanation

From law of conservation of momentum, we can write that;

Plugging in the relevant values gives;

From law of conservation of energy, we know that;

Where;

Thus;

This reduces to;

Thus;

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