Figure $5$: Problem $6$

Q$5$: In figure $5,$ block $1$ has mass $m_1=460g,$ block $2$ has mass $m_2=500g,$ and the pulley, which is mounted on a horizontal axle with negligible friction, has radius $R=5\mathrm{.}0cm.$ When released from rest, block $2$ falls $75\mathrm{.}0$ cm in $5\mathrm{.}0$ s without the cord slipping on the pulley:

$($a$)$ What is the magnitude of the acceleration of the blocks?

$($b$)$ What are tensions $T_1$ and $T_2$

$($c$)$ What is the magnitude of the pulley's angular acceleration $()?$

It has come to my attention that the last question in your final exam is missing the value for $F_2($Force $2).$ Please use a value of $10N$ for this question.