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MMLU-Pro / 9846 / A billiard ball of initial velocity u₁ collides with another billiard ball…

Problem

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

question

A billiard ball of initial velocity u1u_1 collides with another billiard ball (same mass) initially at rest. The first ball moves off at ψ=45∘\psi=45^{\circ}. For an elastic collision, what are the velocities of both balls after the collision?
Plain-text mathematical notation (without MathML)
A billiard ball of initial velocity u₁ collides with another billiard ball (same mass) initially at rest. The first ball moves off at ψ=45^(∘). For an elastic collision, what are the velocities of both balls after the collision?
Original LaTeX notation
A billiard ball of initial velocity $u_1$ collides with another billiard ball (same mass) initially at rest. The first ball moves off at $\psi=45^{\circ}$. For an elastic collision, what are the velocities of both balls after the collision?

category

physics

options

  1. $2$ $u_1$
  2. $\frac{3}{4}$ $u_1$
  3. $\frac{1}{\sqrt{3}}$ $u_1$
  4. $\sqrt{2}$ $u_1$
  5. $u_1$ for the first ball and $\frac{1}{\sqrt{2}}$ $u_1$ for the second ball
  6. $\frac{1}{2}$ $u_1$ for the first ball and $\frac{1}{2}$ $u_1$ for the second ball
  7. $\frac{1}{\sqrt{2}}$ $u_1$
  8. $u_1$
  9. $\frac{1}{2}$ $u_1$
  10. $\frac{\sqrt{3}}{2}$ $u_1$

src

scibench-class

Discussion

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Source and history

upstream_id / Original problem ID
9846
task_id
b8ecdeea-3241-52b6-9b58-699949784f60
task_key
default--test--9846
task_revision_id
1
config / split
default / test

Official source

initial import