AP Free Response Question
1999 B1
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The Sojourner rover vehicle shown in the sketch above was used to explore the surface of Mars as part of the Pathfinder mission in 1997. Use the data in the tables below to answer the questions that follow.
(a) Determine the acceleration due to gravity at the surface of Mars in terms of g, the acceleration due to gravity at the surface of Earth.
(b) Calculate Sojourner's weight on the surface of Mars.
(c) Assume that when leaving the Pathfinder spacecraft Sojourner rolls down a ramp inclined at 20
^{o}
to the horizontal. The ramp must be lightweight but strong enough to support Sojourner. Calculate the minimum normal force that must be supplied by the ramp.
(d) What is the net force on Sojourner as it travels across the Martian surface at constant velocity? Justify your answer.
(e) Determine the maximum distance that Sojourner can travel on a horizontal Martian surface using its stored energy.
(f) Suppose that 0
.
010% of the power for driving is expended against atmospheric drag as Sojourner travels on the Martian surface. Calculate the magnitude of the drag force.
Topic Formulas
Description
Published Formula
elastic potential energy
friction
gravitational potential energy
Hooke's Law
kinetic energy
Newton's 2nd Law
Newton's Law of Universal Gravitation
potential energy
power
power
work
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