Question

An astronaut is standing on the surface of a planet that has a mass of 6.42×1023 kg and a radius of 3397 km. The astronaut fires a 2.6-g bullet straight up into the air with an initial velocity of 406 m/s. What is the greatest height the bullet will reach? The planet has no atmosphere

Answer 1

Height = 11.975 km

Step-by-step explanation:

As we know… g = Gm/
`r^(2)` so, by substituting the values requires

g = Gm/r2 = 6.673 x 10^-11 x 6.42 x 10^23 / (3397000 m)2 = 3.71 ms-1

P.E = K.E so, mgh = 1/2m
`v^(2)`

h =
`v^(2)`/2g = (406)2 / 2(3.71) = 11976 m or 11.975 km

The bullet will travel a maximum height of 11.975 km vertically upward applying assumption of no atmosphere on the planet…