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Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a...

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Physics

Two asteroids of equal mass in the asteroid belt between Marsand Jupiter collide with a glancing blow. Asteroid A,which was initially traveling at vA1 = 40.0 m/s withrespect to an inertial frame in which asteroid B was atrest, is deflected 30.0 ? from its original direction, whileasteroid B travels at 45.0 ? to the original direction ofA, as shown in (Figure 1).

a: Find the speed of asteroid A after thecollision.

b: Find the speed of asteroid B after thecollision.

c: What fraction of the original kinetic energy of asteroidA dissipates during this collision?

Answer & Explanation Solved by verified expert
4.1 Ratings (803 Votes)
We know that mA mB mGiven vA1 40 ms A1 0 degree A2 30 degreeB1 0 degree B2 45 degreeUsing conservation of momentum we haveOn xaxis mA vA1x mBvB1x mA vA2x mBvB2xm 40 ms m 0 ms m vA2 cos A2 m vB2 cos B240 ms    See Answer
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