The earth has a mass of 5.97 × 1024 kg, the moon has a mass of 7.35 x 1022 kg. A spaceship (mship = 2.60 x 10* kg) is located in space so that it is 3.30 x 10° m from the earth and 1.10 × 10° m from the moon at 20° and 40° from the line joining them as shown. Calculate the magnitude of the gravitational force on the spaceship, and the angle this force makes with the line from the earth to the moon. 110 000 km 330 000 km 20° 40

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The earth has a mass of 5.97 × 10* kg, the moon has a mass of 7.35 x 10" kg. A spaceship (mship
2.60 x 10* kg) is located in space so that it is 3.30 x 10° m from the earth and 1.10 x 10* m from the moon
at 20° and 40° from the line joining them as shown. Calculate the magnitude of the gravitational force on the
spaceship, and the angle this force makes with the line from the earth to the moon.
=
110 000 km
330 000 km
20°
40°
Transcribed Image Text:The earth has a mass of 5.97 × 10* kg, the moon has a mass of 7.35 x 10" kg. A spaceship (mship 2.60 x 10* kg) is located in space so that it is 3.30 x 10° m from the earth and 1.10 x 10* m from the moon at 20° and 40° from the line joining them as shown. Calculate the magnitude of the gravitational force on the spaceship, and the angle this force makes with the line from the earth to the moon. = 110 000 km 330 000 km 20° 40°
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