A roller coaster has a vertical loop with radius 29.5 m. What is the minimum speed of the roller coaster car can have at the top of the loop if the passengers do not lose contact with the seats? A) 10.0 m/s
B) 14.0 m/s
C) 17.0 m/s
D) 19.0 m/s

the  Minimum speed , v of the roller coster = 17.0 m/s --c

Explanation:

According to Newton's First law  of Motion which state that all object will remain at rest unless an external force is applied on the body to act otherwise.

Therefore the   Force exerted/ acting  on the surface of  the roller coaster will be equal to 0,

Net Force = 0

Remember that , Force = mg = Mv ²/r = 0

 Net Force =mv ² / r - mg = 0

mv²/ r - mg = 0

(diving through by m)

v²/r -g = 0

v² = gr

v=

where g, acceleration due to gravity= 9.8m/s2 and radius, r = 29.5m

v=  

v =

v=  17.0 m/s

Therefore, the  Minimum speed , v of the roller coaster = 17.0 m/s

true tan speed = ang vel x radius

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