A space probe has 2 engines. Each generates the sameamount of force when fired,
ID: 1725907 • Letter: A
Question
A space probe has 2 engines. Each generates the sameamount of force when fired, and the directions of these forcescan be independently adjusted. When the engines are firedsimultaneously and each applies its force in the same direction,the probe, starting from rest, takes 28s to travel a certaindistance. How long does it take to travel the same distance,again starting from rest, if the engines are fired simultaneouslyand the forces that they apply to the probe areperpendicular? answer: 33s A space probe has 2 engines. Each generates the sameamount of force when fired, and the directions of these forcescan be independently adjusted. When the engines are firedsimultaneously and each applies its force in the same direction,the probe, starting from rest, takes 28s to travel a certaindistance. How long does it take to travel the same distance,again starting from rest, if the engines are fired simultaneouslyand the forces that they apply to the probe areperpendicular? answer: 33sExplanation / Answer
1st case: net force = 2F, acceleration a = 2F/m, distance d =at2/2, where t = 28 s 2nd case: net force = 2 F, acceleration a' = 2 F/m,distance d = a't'2/2, so t' = t*(a/a') = t*(2/2) =28*21/4 = 33 s
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