Suppose the Mars rover Curiosity is on its way to the landing area which include

Question

Suppose the Mars rover Curiosity is on its way to the landing area which includes the rover and the rocket and has a mass of 2500 kg, and that it starts the final slowing down at an altitude of 200 m above ground with a downward speed of 200 mi/h. The slowing is accomplished by the landing rockets firing toward the ground, providing a back thrust. Calculate the thrust in newtons that is needed for Curiosity to land on the Martian surface at 1.7 mi/h. The acceleration due to gravity on Mars is 3.76 m/s2.

Explanation / Answer

1.7 mi/hr =7.6*10^-1 m/s 200 mi/hr =88.89 m/s ............ hence deceleration should be (88.89^2-0.76^2)/(2*200) =19.75 hence thurst should be m(a+g) =2500*(19.75+3.76) =58775 N

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