Answer :
Answer: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= [tex]\sqrt{gr}[/tex]
where g, acceleration due to gravity= 9.8m/s2 and radius, r = 29.5m
v= [tex]\sqrt{9.8m/s2 X 29.5m }[/tex]
v =[tex]\sqrt{ 289}[/tex]
v= 17.0 m/s
Therefore, the Minimum speed , v of the roller coaster = 17.0 m/s