For weightless object, the gravity is equal to the centripetal acceleration. The radius of the loop is 4.5 km.
Centripetal Acceleration formula is,
[tex]\rm \bold { a = \frac{V^2}{r} }[/tex]
Where,
V- velocity = 210 m/s
r - radius = ?
As we know that for weightless object,
Gravity = centripetal acceleration
hence a = g
g = [tex]\rm \bold{ 9.8 m/s ^2}[/tex]
put the value in the formula,
[tex]\rm \bold { 9.8 = \frac{ 210 ^2}{r} }[/tex]
[tex]\rm \bold {r = \frac{ (210 m/s)^2}{ 9.8m/s^2 } }\\\\\rm \bold {r = 4500m}\\\\\rm \bold {r = 4.5 km }[/tex]
Hence, we can conclude that the radius of the loop is 4.5 km.
To know more about centripetal acceleration, refer to the link:
https://brainly.com/question/14465119
