Explanation:
Given:




Let
= mass of the asteroid and
= orbital radius of the asteroid around the sun. The centripetal force
is equal to the gravitational force 

or

where

with T = period of orbit. Rearranging the variables, we get

Taking the square root,



Answer:
The maximum height above the point of release is 11.653 m.
Explanation:
Given that,
Mass of block = 0.221 kg
Spring constant k = 5365 N/m
Distance x = 0.097 m
We need to calculate the height
Using stored energy in spring
...(I)
Using gravitational potential energy
....(II)
Using energy of conservation




Where, k = spring constant
m = mass of the block
x = distance
g = acceleration due to gravity
Put the value in the equation


Hence, The maximum height above the point of release is 11.653 m.
30 km/h * 17 h = 30*17 km/h *h
= 510 km
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