An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. Her jetpack provides a constant thrust of 207 N. If she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force?

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An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. Her jetpack provides a constant thrust of 207 N. If she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force?
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L Pretest: Unit 4
An astronaut floating in space is trying to use her jetpack to get back to her
space station, but she is being pulled away by a nearby planet, as shown in
the image below. Her jetpack provides a constant thrust of 207 N. If she
angles her jetpack in such a way that it cancels out the vertical force due to
the planet's gravity, what is her net horizontal force?
Jetpack
Thrust
207 N
20°
45°
Planet's
gravitational pull
100 N
A. 68.9 N away from the space station
B. 123.8 N toward the space station
C. 53.7 N toward the space station
D. 13.8 N away from the space station
E PREVIOUS
RGG
Transcribed Image Text:8Reconnect(Williams, Meet - pjo-riov X Apex Learning pexlearning.com/public/activity/4000001/assessment L Pretest: Unit 4 An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. Her jetpack provides a constant thrust of 207 N. If she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force? Jetpack Thrust 207 N 20° 45° Planet's gravitational pull 100 N A. 68.9 N away from the space station B. 123.8 N toward the space station C. 53.7 N toward the space station D. 13.8 N away from the space station E PREVIOUS RGG
Expert Solution
Step 1

Given data

  • The trust provided by the jetpack is Ft = 207 N.
  • The Planet's gravitational pull is Fp = 100 N.

The free-body diagram of the astronaut is drawn as,

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