A crane and box are both initially at rest. At time t=0 s, the crane begins to drive forward at a constant speed of 0.5 m/s, while also lifting the box with an upward acceleration of 1 m/s2. The box does not swing while being lifted by the crane.
(a)draw and label the forces (not components) that are exerted on thebox during the scenario described above. Represent each force by a distinct arrow starting on, and pointing awayfrom, the dot.Note: Draw the relative lengths of all vectors to reflect the relative magnitudes of all the forces
(b) sketch the shape of the path taken by the box as it is lifted by the crane as viewed by astationary observer.
(c)Assume that, at, the horizontal position of the box isand it has a vertical position of.Derive an equation that describes the vertical positionof the box as a function of the horizontal positionof thebox.
(d) Does your equation from part (c) agree with your sketch in part (b)? Justify your response.
(e) The dot below represents the box during the time interval t1<t<t2. On the dot, draw an arrow indicating the direction of the net force exerted on the block during this interval. The arrow should start on, and point away from, the dot.
