Question

Im having trouble solving d and e

I don’t know how to differentiate or graph

2013 AP PHYSICS C: MECHANICS FREE-RESPONSE QUESTIONS Mech 2. A box of mass m initially at rest is acted upon by a constant applied force of magnitude F. as shown in the figure above. The friction between the box and the horizoetal surface can be assumed to be negligible, but the box is subject to a drag force of magnitude kv where v is the speed of the box and k is a positive constant Express all your answers in terms of the given quantities and fundamental constants, as appropriate (a) The dot below represents the box. Draw and label the foces (not components) that act on the box. b) Write, but do not solve, a differential equation that could be used to determine the speed v of the box as a function of time t. If you need to draw anything odher than what you have shown in part (a) to assist in your solution, use the space below. Do NOT add anything to the figure in part (a). (c) Determine the magnitude of the terminal velocity of the bex d) Use the differential equation from part (0) to derive the equation for the speed u of the box as a function of (e) On the axes below, sketch a graph of the speed v of the box as a function of time t. Explicitly label any time t. Assume that v0 at time t O maxima, or minima with mumerical values or algebraic expressions, as appropriate. o 2013 The College Boand Vait the College Board on the Wehwww.collegrbourd.org GO ON TO THE NEXT PAGE

Answer 1

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