A NASA probe traveling through interplanetary space has a mass of 81 kg and is traveling at a speed of 29 m/s. When it is at location F = [ -280, -232, 394 ] m it begins firing two booster rockets. The rockets exert constant forces of F1 =[ 90, 150, 195 ] N and F2 = [ 90, -90, -585 ] N, without significantly decreasing the mass of the probe. The rockets fire until the probe reaches location Ff = [ -272, -233, 399] m. a) How much work does booster rocket #1 do during that time? b) How much work does booster rocket #2 do during that time? c) What is the probe's speed when it reaches location F? m/s

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A NASA probe traveling through interplanetary space has a mass of 81 kg and is traveling at a speed of 29 m/s. When it is
at location F
= [ -280, -232, 394 ] m it begins firing two booster rockets. The rockets exert constant forces of F1 =[ 90,
150, 195 ] N and F2 = [ 90, -90, -585 ] N, without significantly decreasing the mass of the probe. The rockets fire until the
probe reaches location Ff = [ -272, -233, 399] m.
a) How much work does booster rocket #1 do during that time?
b) How much work does booster rocket #2 do during that time?
c) What is the probe's speed when it reaches location F?
m/s
Transcribed Image Text:A NASA probe traveling through interplanetary space has a mass of 81 kg and is traveling at a speed of 29 m/s. When it is at location F = [ -280, -232, 394 ] m it begins firing two booster rockets. The rockets exert constant forces of F1 =[ 90, 150, 195 ] N and F2 = [ 90, -90, -585 ] N, without significantly decreasing the mass of the probe. The rockets fire until the probe reaches location Ff = [ -272, -233, 399] m. a) How much work does booster rocket #1 do during that time? b) How much work does booster rocket #2 do during that time? c) What is the probe's speed when it reaches location F? m/s
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