Answer
$v_1=-67 cm/s$
Work Step by Step
We know that the sum of the momentums must be 0 due to conservation of momentum:
$0= m_1v_1+m_2v_2$
$v_1=- \frac{m_2v_2}{m_1}$
$v_1=- \frac{(91 \ mg)(47 cm/s)}{64 mg}$
$v_1=-67 cm/s$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.