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MMLU-Pro / 9450 / A particle of mass m and velocity u₁ makes a head-on collision with another…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A particle of mass mm and velocity u1u_1 makes a head-on collision with another particle of mass 2m2 m at rest. If the coefficient of restitution is such to make the loss of total kinetic energy a maximum, what are the velocities v1v_1 after the collision?
Plain-text mathematical notation (without MathML)
A particle of mass m and velocity u₁ makes a head-on collision with another particle of mass 2m at rest. If the coefficient of restitution is such to make the loss of total kinetic energy a maximum, what are the velocities v₁ after the collision?
Original LaTeX notation
A particle of mass $m$ and velocity $u_1$ makes a head-on collision with another particle of mass $2 m$ at rest. If the coefficient of restitution is such to make the loss of total kinetic energy a maximum, what are the velocities $v_1$ after the collision?

category

physics

options

  1. $0$
  2. $\frac{1}{3}$$u_1$
  3. $\frac{1}{2}$$u_1$
  4. $\frac{2}{5}u_1$
  5. $\frac{2}{3}$$u_1$
  6. $\frac{3}{4}u_1$
  7. $-\frac{1}{2}u_1$
  8. $-\frac{1}{3}u_1$
  9. $u_1$
  10. $\frac{1}{4}u_1$

src

scibench-class

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Source and history

upstream_id / Original problem ID
9450
task_id
98ade01e-df4b-5739-95b9-bb0aa7568d1b
task_key
default--test--9450
task_revision_id
1
config / split
default / test

Official source

initial import