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1999 Free Response

# 1999 Free Response - 147 1999 The Sojourner rover vehicle...

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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. Mars Data Sojourner Data Radius: 0.53 x Earth's radius Mass of Sojourner vehicle: 11.5 kg Mass: 0.11 x Earth's mass Wheel diameter: 0.13 m Stored energy available: 5.4 x 105 J Power required for driving under average conditions: 10 W Land speed: 6.7 x 10-3 m/s 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° 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. 147 1999

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In a television set, electrons are first accelerated from rest through a potential difference in an electron gun. They then pass through deflecting plates before striking the screen. a. Determine the potential difference through which the electrons must be accelerated in the electron gun in order to have a speed of 6.0 x 10 7 m/s when they enter the deflecting plates. The pair of horizontal plates shown below is used to deflect electrons up or down in the television set by placing a potential difference across them. The plates have length 0.04 m and separation 0.012 m, and the right edge of the plates is 0.50 m from the screen. A potential difference of 200 V is applied across the plates, and the electrons are deflected toward the top of the screen.
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