A body of 30 Newtons weight was placed on a rough inclined plane inclined to the horizontal at an angle of measure \( \theta \). A force of magnitude \( 20 \sqrt{3} \) Newtons. It was applied to it in the direction of the line of the greatest slope of the plane upward, so the body was about to move upwards. Find the measure of the angle \( \theta \) if it is known that the coefficient of static friction between the body and the plane is \( \frac{\sqrt{3}}{3} \).

A body is acted upon by three forces \( F_{1}\left(10 \mathrm{~N}, 030^{\circ}\right), F_{2}\left(15 \mathrm{~N}, 120^{\circ}\right) \) and \( F_{3}\left(15 \mathrm{~N}, 240^{\circ}\right) \). Determine the magnitude and direction of the resultant force by

40 If a toy helicopter is moving at \( 12 \mathrm{~m} / \mathrm{s} \), how much energy does the 3 kg toy have? Show your work!

4. For vectors \( \vec{A}=120 \hat{i}-60 \hat{j}, \vec{B}=-3 \hat{i}+4 \hat{j} \) and \( C=10 j \) (answer only inside the given boxes. \begin{tabular}{ll|l}\hline i) Find unit vgctor along & \( \vec{B} \quad \) [3pts] & ii) Find unit vector along \( E=\vec{A}+\vec{C}[4 p t s] \)\end{tabular}

QUESTION 5 A bus accelerates from rest to 0,067 \( 0.04 \mathrm{~km} / \mathrm{h} \) in 17 seconds; it continues with this speed for rest. Plot a velocity time graph for the journey then calculate. 5.1 The total distance covered. 5.2 The average speed for the whole journey

Problema 2 Una masa pende de un resorte. El resorte está comprimido y mide 4 cm . Luego se suelta. Se observa que la masa regresa a la posición comprimida después de \( \frac{1}{3} \) de segundo. a) Encuentre una función que modele el desplazamiento de la masa. b) Grafique el desplazamiento de la masa.