Is Earth in Danger from the Incoming Comet?

[Troodon]

Homework Statement

A comet is observed in a distance of 100 Earth -radius away from the Earth. It is approaching with a speed of 15000 km/h in a direction only 50 off the line connection the two objects.
Earth mass 5.97*1024 kg
Earth radius 6.378*106 m
Gravity constant 6.6726*10-11 Nm2/kg2
(The geostationary zone is an orbit with radius of 6.62 Earth –radius, and is packed with communication satellites orbiting the Earth.)

Homework Equations

Will the comet hit the Earth, and if so – when ?
Will the comet hit the geostationary zone, and if so – when ?

The Attempt at a Solution

Don't know what to do?

 

[Andrew Mason]

Homework Statement

A comet is observed in a distance of 100 Earth -radius away from the Earth. It is approaching with a speed of 15000 km/h in a direction only 50 off the line connection the two objects.
Earth mass 5.97*1024 kg
Earth radius 6.378*106 m
Gravity constant 6.6726*10-11 Nm2/kg2
(The geostationary zone is an orbit with radius of 6.62 Earth –radius, and is packed with communication satellites orbiting the Earth.)

Homework Equations

Will the comet hit the Earth, and if so – when ?
Will the comet hit the geostationary zone, and if so – when ?

The Attempt at a Solution

Don't know what to do?

Try applying Kepler's second law of planetary motion.

If its orbit barely intersected a) the Earth or b) the geostationary zone, how much speed would it have based on Kepler's second law?

Does it have enough energy to reach such a speed?

AM