Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

please help me woth this question The mean diameters of X and Y, two planets in

ID: 1448960 • Letter: P

Question

please help me woth this question

The mean diameters of X and Y, two planets in the same solar system, are 6.8 times 10^3 km and 1.8 times 10^4 km. respectively. The mass of X is 0.15 times the mass of Y. The value of g on Y is 8.1 m/s^2. What is the ratio of the mean density of X to that of Y (rho_x/rho_y)? What is the value of g on X? m/s^2 The mass of Y is 9.837 times 10^34 kg. What is the escape speed on X? m/s Density is the ratio of mass to volume. Do you recall how to calculate the volume of a sphere? The gravitational acceleration is the ratio of the gravitational force on a particle to the particle's mass. The escape speed is the speed when the escape kinetic energy equals the magnitude of the initial gravitational potential energy.

Explanation / Answer


escape speed Ve = sqrt(2*GM/r)


M = mass of planet X = 0.15*9.83*10^24


r = radius of planetx = 3.4*10^6 m

G = 6.67*10^-11

Ve = sqrt((2*6.67*10^-11*0.15*9.83*10^24)/(3.4*10^6))


Ve = 76066.1 m/s <<<<-------answer