Physics $1$

Unit $5$

Energy LTHW Packet

Standard $5\mathrm{.}4-$ Analyze the motion of an object if non$-$conservative forces are acting on it

$1.)$ A block of mass $m$ is at rest at the top of a ramp at an angle $$ and of height $h.$ The block is released and slides with negligible friction down the ramp. The block then seamlessly transitions to a flat rough surface, where it slides with a coefficient of kinetic friction $$ until it comes to rest after moving a horizontal distance $d.$

A student says that using trig they know the length of the ramp is $L=\frac{h}{sin()}$ and propose that the slide distance $d$ can be described as $d=\frac{h}{sin()}.$ Does this equation make physical sense to you? Could it be correct? $($Instead of coming up with your own expression, try to find a way to describe why this one is not quite correct$)$

$2.)UH-OH!$ It turns out the block DOES experience friction as it slides on the ramp! Using the information and values provided find the distance $d$ of the block's slide. Can you answer this but with sentencee and math thank you