PLEASE ANSWER ASAP WILL RATE THANK YOU Learning Goal:

To use the equations of equilibrium to analyze a system containing a wedge and to determine the

necessary applied force to introduce motion into the system.

The crate shown is held against wedge $B$ by a spring. The spring is $93\mathrm{.}0\%$ of its original

uncompressed length $l=2\mathrm{.}75m,$ and the spring constant is given as $k=1850\frac{N}{m}.$ The

coefficient of static friction at all contacting surfaces is ${}_s=0\mathrm{.}130.$ The mass of the crate is

$m=27\mathrm{.}0kg.$ The angle is $=11\mathrm{.}0.$ Neglect the mass of the wedge. Assume the crate only

moves in the $y$ direction and that wedge A cannot move.$($Figure $1)$

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

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

Determine the magnitude of the smallest horizontal force $P$ 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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$P=$