(3%) Problem 33: A force is acting on a block with a magnitude of $F = 116 \text{ N}$. The force makes an angle of $\theta = 15^\circ$ with respect to the horizontal, as shown in the figure.
Randomized Variables
$F = 116 \text{ N}$
$\theta = 15^\circ$
25% Part (a) Write an expression for the component of the force in the x-direction, $F_x$, in terms of the variables given in the problem statement.
$F_x = F \cos(\theta)$ Correct!
25% Part (b) Write an expression for the component of the force in the y-direction, $F_y$, in terms of the variables given in the problem statement.
$F_y = F \sin(\theta)$ Correct!
25% Part (c) Write the force $F$ as a vector, in terms of the variables given in the problem statement. Include the unit vectors $i$ and $j$.
$\vec{F} = F \cos(\theta) \hat{i} + F \sin(\theta) \hat{j}$ Correct!
25% Part (d) If the block has a mass of $m = 5 \text{ kg}$ and the coefficient of friction between the floor and block is $\mu_k = 0.5$, what is the block's acceleration, in meters per square second?
$a = 12.68 \text{ }m/s^2$
