Learning Goal:

The crate shown is held against wedge $B$ by a spring. The spring is $95\mathrm{.}5\%$ of its original

uncompressed length $l=2\mathrm{.}50m,$ and the spring constant is given as $k=1650\frac{N}{m}$

The coefficient of static friction at all contacting surfaces is ${}_s=0\mathrm{.}100.$ The mass of the

crate is $m=21\mathrm{.}0kg.$ The angle is $=14\mathrm{.}0.$ Neglect the mass of the wedge. Assume

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

Determine the normal force Nc 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

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.