1- You are visiting planet Xena and you find that a 3.3 kg rock falls 14.2 meters in 1.811 seconds when dropped from rest. Calculate the strength of the gravitational field on the surface of Xena.
2- If Xena has a radius of 1.288×106 meters, find the mass of Xena.

ANSWERS

2020-04-29 05:45:39

1- The acceleration of the rock is solve using the formula: y = vot + 0.5gt² 14.2 = 0 + 0.5 g (1.811)² g = 8.659 The weight of the rock is the strength of the gravitation field on the surface of Xena, so: F = mg F = 3.3 (8.659) = 28.576 N 2- Using the gravitational force formula: F = G m₁ m₂ / r² 28.576 = 6.67 x 10 ⁻¹¹ (3.3) m₂ / 14.2² m₂ = 2.618 x 10¹³ kg

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