Answer:
(a) The initial speed required is 13116 m/s
(b) The escape speed is 10394 m/s
This problem involves the application of newtons laws of gravitation. The forces in action here are conservative and as a result mechanical energy is conserved.
The full calculation can be found in the attachment below.
Explanation:
In both parts (a) and (b) the energy conservation equation were used. Assumption was made that when the object is very far from the planet the distance from the planet's center approaches infinity and the gravitational potential energy approaches zero.
The calculation can be found below.
For this case we can write each one of the vectors in the following way:
This means that the x-axis is defined as positive towards the west.
Then, the resulting vector is:
Answer:
Displacement vectors of 10 m west and 14 m west make a resultant vector that is 24 m west