A 3290-kg spacecraft is in a circular orbit 1980 kmabove the surface of Mars. Pa

ID: 297681 • Letter: A

Question

A 3290-kg spacecraft is in a circular orbit 1980 kmabove the surface of Mars.

Part A

How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4400 km above the surface?

Express your answer to three significant figures.

A 3290-kg spacecraft is in a circular orbit 1980 kmabove the surface of Mars.

Part A

How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4400 km above the surface?

Express your answer to three significant figures.

E = J

Mars: Mass=6.4185x1023 kg, Radius=3397000m

Mass of space craft =3290kg

E1 (energy at lower orbit) = -GmM/2R1

E2 (energy at higher orbit)= -GmM/2R2

Where

R1 = 1980000+3397000 = 5377000

R2 = 4400000+3397000 = 7797000

E2-E1 = GmM/2 (1/r1 - 1/r2)

= (6.67408 × 10-11 m3 kg-1 s-2 )( 6.4185x1023)( 3290)/2(1/5377000-1/7797000)

=0.00406x1012J

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.