Two blocks are connected by a light string that passes over frictionless pulley as shown above. The mass of the two blocks are $m_1=8\mathrm{.}5kg$ and $m_2=3\mathrm{.}9kg.$ The system is released from rest while $m_2$ is on the floor and $m_1$ is a distance $h=3\mathrm{.}1m$ above the floor.

a$)$ lgnoring the friction of the system find the speed of $m_1$ just as it reaches the floor.

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b$)$ Ignoring the friction of the system find the time of $m_1$ just as it reaches the floor.

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$s$

Now suppose there is some friction in the system. Then the system is released from rest while $m_2$ is on the floor and $m_1$ is the same distance $h=3\mathrm{.}1m$ above the floor. The m $1$ block takes $2\mathrm{.}31$ s time to reach the floor with the system's friction.

c$)$ Find the speed of $m_1$ just as it reaches the floor.

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d$)$ Find the work done by the friction.

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$A7\%$