Question

In: Physics

A star is moving towards a moon. It has mass m = 0.22×109 kg and speed...

A star is moving towards a moon. It has mass m = 0.22×109 kg and speed v1 = 2.6×107 m/s at distance R1 = 2.9×107 m from the center of the moon. The radius of the moon is R = 0.86×107 m. The mass of the moon is M = 8.8×1025 kg. no air is around the moon.

a. Calculate the gravitational potential energy PE1 of the star at R1. potential energy is zero at infinity.

b. Calculate the total energy E1 of the star at R1.

c. Calculate the total energy E of the meteoroid at R, the surface of the moon.

d. Calculate v, the meteoroid’s speed at the moons surface

Expert Solution

Mass of meteroid

speed of meteroid

Initial distance of meteroid from the center of moon is

Radius of moon is

Mass of moon

a)

Gravitational potential energy of meteroid at is

b)

Total energy of meteroid at is

c)

Total energy of meteroid at the surface of moon is

Conserving the energy of meteroid at distances and .

Total energy of meteroid at the surface of moon is

d)

genius_generous answered 2 years ago

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