In an elastic collision between two bodies of mass m₁ and m₂,with m₂ initially at rest,mass 1 moves off at angle θ relative to the direction of its initial velocity and mass 2 at angle φ.An exam paper shows the equations below: M₁v₁_i0 = m₁v₁_f cosθ + m₂v₂_f sinφ = m₁v₁_f sinθ + m₂v₂_f cosφ What error(s)has the student made? A)In the first equation,m₂v₂_f sinφ should be m₂v₂_f cosφ. B)In the second equation,m₂v₂_f cosφ should be m₂v₂_f sinφ. C)In the second equation,the plus sign between the terms on the right should be a minus sign. D)All of the errors listed above. E)Only errors (a)and (b)above.

Question

Quizplus · Accepted Answer

Both equations contain errors. In the first equation, the term m₂v₂_f sinφ should be m₂v₂_f cosφ, as the angle associated with mass 2 is given as φ, which is the angle at which it moves relative to its initial velocity direction. Similarly, in the second equation, the term m₂v₂_f cosφ should be m₂v₂_f sinφ. Additionally, in the second equation, the plus sign between the terms on the right should be a minus sign. Therefore, the correct answer is D, all of the errors listed above.

In an Elastic Collision Between Two Bodies of Mass M1

In an Elastic Collision Between Two Bodies of Mass M₁