An imaginary planet has a mass of 8.00 * 10²³ kg and a diameter of 5.0 * 10⁶ m.What is the escape speed from the surface of this planet?

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Quizplus · Accepted Answer

Escape speed is given by:$$v_e=\sqrt{\frac{2GM}{r}}$$where:- G is the gravitational constant (6.674 × 10^-11 m^3 kg^-1 s^-2)- M is the mass of the planet (8.00 × 10^23 kg)- r is the radius of the planet (5.0 × 10^6 m / 2 = 2.5 × 10^6 m)Plugging in the values, we get:$$v_e=\sqrt{\frac{2(6.674 × 10^-11 m^3 kg^-1 s^-2)(8.00 × 10^23 kg)}{2.5 × 10^6 m}}$$$$v_e=6.5 km/s$$

An Imaginary Planet Has a Mass of 8