PROBLEM $1$

A collie drags its bed box across a floor by applying a horizontal force of $8\mathrm{.}0N.$ The kinetic frictional force acting on the box has magnitude $5\mathrm{.}0N.$ As the box is dragged through $0\mathrm{.}70m$ along the way, what are $($a$)$ the work done by the collie's applied force and $($b$)$ the increase in thermal energy of the bed and floor?

PROBLEM $2$

A horizontal force of magnitude $35\mathrm{.}0N$ pushes a block of mass $4\mathrm{.}00kg$ across a floor where the coefficient of kinetic friction is $0\mathrm{.}600.($a$)$ How much work is done by that applied force on the block$-$floor system when the block slides through a displacement of $3\mathrm{.}00m$ across the floor? $($b$)$ During that displacement, the thermal energy of the block increases by $40\mathrm{.}0J.$ What is the increase in thermal energy of the floor? $($c$)$ What is the increase in the kinetic energy of the block?

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