What is the escape velocity of the planet

Reference no: EM13717475

Solve the all parts of given problem:

Problem: A huge cannon is assembled on an airless planet. The planet has a radius 5.00 x 10⁶m and a mass of 4.6 x10²⁴ kg. The cannon fires a projectile up at 4000 m/s.

Part A: To what maximum height does the projectile reach above the surface?

Part B: The projectile reaches its maximum height and then starts to fall back to the planet. What is its speed as it passes the 500 km mark above the surface?

Part C: Show that the escape vole city formula is VESCAPE =sqrt(2GM/R)

Part D: what is the escape velocity of the planet ?

Part E: If a 2000 kg satellite were circularly orbiting this planet at height (above the surface) of 1000 km what would its total energy be?

Part F: If a 2000 kg satellite were circularly orbiting this planet at height (above the surface) of 1000 km what would its speed be?

Part G: If a 2000 kg satellite were circularly orbiting this planet at height (above the surface) of 1000 km how much energy would the thrusters need to supply to move it to an orbit 2000 km above the surface?

It'd be really helpful if you could show all steps of your work. Thanks.

Reference no: EM13717475

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