The crate shown is held against wedge B by a spring. The spring is $96\mathrm{.}0\%96\mathrm{.}0\%$ of its original uncompressed length l$=3\mathrm{.}00$ml$=3\mathrm{.}00$m $,$ and the spring constant is given as k$=1450$N$/$mk$=1450$N$/$m $.$ The coefficient of static friction at all contacting surfaces is s$=0\mathrm{.}100$s$=0\mathrm{.}100.$ The mass of the crate is m$=23\mathrm{.}0$kgm$=23\mathrm{.}0$kg $.$ The angle is $=11\mathrm{.}0$$=11\mathrm{.}0.$ Neglect the mass of the wedge. Assume the crate only moves in the y direction and that wedge A cannot move.$($Figure $1)$

Figure

$1$ of $1$

Part A $-$ Determining the normal force exerted by the crate on the wedge

Determine the normal force NCNC that the crate exerts on the wedge when the system is at rest.

Express your answer to three significant figures and include the appropriate units.

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NC$=$NC$=$

nothingnothing

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Part B $-$ Finding the smallest horizontal force P to move the crate upward

Determine the magnitude of the smallest horizontal force PP that is necessary to begin moving the crate upward.

Express your answer to three significant figures and include the appropriate units.

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