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.

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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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.

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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.