The sojourner rover vehicle was used to explore the surface of marsas part of th

Question

The sojourner rover vehicle was used to explore the surface of marsas part of the pathfinder mission in 1997. Use the data inthe tables below to answer the questions that follow.

MarsData                                                            Sojourner Data
Radius: 0.53 x earth'sradius                           Mass of Sojourner vehicle: 11.5kg
Mass: 0.11 x earth'smass                                Wheel Diameter: 0.13m
                                                                       Stored Energy Available: 5.4 x105 J
                                                        Power required for driving under average conditions: 10 W
                                                                  Land speed: 6.7 x 10-3m/s
a)Determine the acceleration due to gravity at the surface of Marsin terms of g, the acceleration due to gravity at the surface ofEarth.


b) Calculate the Sojourner's weight on the surface of Mars.


c)Assume that when leaving the Pathfinder Spacecraft Sojournerrolls down a ramp inclined at 20 degrees to the horizontal. The ramp must be lightweight but strong enough to supportSojourner. Calculate the minimum normal force that must bsupplied by the ramp.


d)What is the net force on the Sojourner as it travels across theMartian surface at a constant Velocity? Justify youranswer.

e)Determine the maximum distance that sojourner can travel on ahorizontal Martian Surface using its stored energy.

f)Suppose that 0.010% of the power for driving is expended againstatmospheric drag as Sojourner travels on the Martian surface. Calculate the magnitude of the Drag force.



Mass: 0.11 x earth'smass                                Wheel Diameter: 0.13m
                                                                       Stored Energy Available: 5.4 x105 J
                                                        Power required for driving under average conditions: 10 W
                                                                  Land speed: 6.7 x 10-3m/s
a)Determine the acceleration due to gravity at the surface of Marsin terms of g, the acceleration due to gravity at the surface ofEarth.


b) Calculate the Sojourner's weight on the surface of Mars.


c)Assume that when leaving the Pathfinder Spacecraft Sojournerrolls down a ramp inclined at 20 degrees to the horizontal. The ramp must be lightweight but strong enough to supportSojourner. Calculate the minimum normal force that must bsupplied by the ramp.


d)What is the net force on the Sojourner as it travels across theMartian surface at a constant Velocity? Justify youranswer.

e)Determine the maximum distance that sojourner can travel on ahorizontal Martian Surface using its stored energy.

f)Suppose that 0.010% of the power for driving is expended againstatmospheric drag as Sojourner travels on the Martian surface. Calculate the magnitude of the Drag force.

Explanation / Answer

Acceleration due to gravity is given by, g1=GM/R2=G*0.11Me/(0.53Re)2 g1=0.391GMe/Re2 g1=0.391g W=mg1 m=11.5kg N=mg1cos20 The net force on it is 0 as it is moving with constantvelocity. The time taken is then, Power=work done /time taken 10=5.4 x105/t t=5.4 x104s The distance travelled is s=ut=6.7 x 10-3*5.4 x104=361.8m Hence we get by it. g1=0.391g W=mg1 m=11.5kg N=mg1cos20 The net force on it is 0 as it is moving with constantvelocity. The time taken is then, Power=work done /time taken 10=5.4 x105/t t=5.4 x104s The distance travelled is s=ut=6.7 x 10-3*5.4 x104=361.8m Hence we get by it.

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