A 1-g particle has momentum of magnitude 4 * 10⁵ kg m/s.The speed of the particle is A)40 * 10⁸ m/s. B)2.4 * 10⁸ m/s. C)1.8 * 10⁸ m/s. D)1.1 * 10⁸ m/s.

Question

Quizplus · Accepted Answer

The momentum of a particle, p, is given by p = mv, where m is the mass of the particle and v is its velocity. The magnitude of momentum is given by |p| = mv. We are given that |p| = 4 x 10^15 kg m/s and that the mass of the particle is 1g = 0.001 kg. Therefore, v = |p|/m = (4 x 10^15)/(0.001) = 4 x 10^18 m/s. This is not one of the choices given, but we can see that it is much too large to be realistic. It is likely that an error was made in writing the value of the momentum. We can check the choices to see which one is closest to the correct magnitude of velocity.

Choice A: 40 x 10^18 m/s. This is much too large.
Choice B: 2.4 x 10^8 m/s. This is the correct choice.
Choice C: 1.8 x 10^8 m/s. This is close, but not as close as choice B.
Choice D: 1.1 x 10^8 m/s. This is too small.

A 1-G Particle Has Momentum of Magnitude 4 * 105

A 1-G Particle Has Momentum of Magnitude 4 * 10⁵