= Question 13 Two horizontal forces, F1 = 35 N east and F2 = 80 N west, as well as two vertical forces, F3 = 12 N south and F4 = 23 N south act at a fixed point. = = 13.1 Draw a representation of the forces on the Cartesian plane. 13.2 Determine the total horizontal force Rx and the total vertical force Ry acting at the point and represent it on the Cartesian plane. 13.3 Determine the magnitude and direction of the resultant force R. show your drawing

What is the length x of the side of the triangle below? (hint: use the cosine function)

You have a pick-up truck that weighed 4,000 pounds when it was new. you are modifying it to increase its ground clearance. when you are finished

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.