Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 4.0 x 10 kg (about 40 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of <0, 22,0 km/s. As you pass the location < 6, 9, 0 km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of < 6.0 x 105, 0, 0> N for 22.5 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) 74= m

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 4.0 × 104 kg (about 40 tons). The rocket
engines are shut off, and you're coasting along with a constant velocity of < 0, 22, 0 km/s. As you pass the location < 6, 9, 0 km you
briefly fire side thruster rockets, so that your spacecraft experiences a net force of < 6.0 × 105, 0, 0> N for 22.5 s. The ejected gases have a
mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an
hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system:
what are the surroundings that exert external forces on your system?)
7f=
3
Transcribed Image Text:Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 4.0 × 104 kg (about 40 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of < 0, 22, 0 km/s. As you pass the location < 6, 9, 0 km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of < 6.0 × 105, 0, 0> N for 22.5 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) 7f= 3
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