Two blocks $($M$1=10$ kg and M$2=7$ kg$)$ are stacked on top of each other on a frictionless ramp, which is inclined at $=15$o above the horizontal. A force, F $=50$ N is applied to M$2,$ parallel to the ramp. The coefficients of static and kinetic friction between the blocks are s $=0\mathrm{.}75$ and k $=0\mathrm{.}4,$ respectively. Again, there is no friction between the ramp and the blocks.

$1)$

What would be the acceleration of M$2$ if both blocks move together?

$|$a$|=7\mathrm{.}14$ m$/$s$2$

$|$a$|=0\mathrm{.}402$ m$/$s$2$

$|$a$|=5\mathrm{.}48$ m$/$s$2$

$|$a$|=2\mathrm{.}94$ m$/$s$2$

$|$a$|=1\mathrm{.}02$ m$/$s$2$

$|$a$|=1\mathrm{.}9$ m$/$s$2$

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Sunday, December $1$ at $11$:$26$ PM

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$2)$

What must be the frictional force M$2$ would have to exert on M$1$ to cause both blocks to move together?

$|$f$|=51\mathrm{.}5$ N

$|$f$|=71\mathrm{.}4$ N

$|$f$|=37\mathrm{.}9$ N

$|$f$|=49\mathrm{.}7$ N

$|$f$|=29\mathrm{.}4$ N

$|$f$|=4\mathrm{.}02$ N

$|$f$|=64\mathrm{.}4$ N

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$3)$

What is the maximum friction force that M$2$ can exert on M$1?$

$|$fmax$|=4\mathrm{.}02$ N

$|$fmax$|=37\mathrm{.}9$ N

$|$fmax$|=51\mathrm{.}5$ N

$|$fmax$|=29\mathrm{.}4$ N

$|$fmax$|=71\mathrm{.}4$ N

$|$fmax$|=49\mathrm{.}7$ N

$|$fmax$|=64\mathrm{.}4$ N

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$4)$

What is the motion of the two blocks?

M$1$ and M$2$ both move, but not together.

M$1$ and M$2$ move together in the $+$x direction.