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Circular motion  Please help, I think the book's wrong!?
1. Homework Statement
A car of mass 400kg travels over a bump of radius 10m on a track in a fun park.
a) What force is exerted by the track on the car when it travels over the top of the hump at a speed of 6 m/s.
b) What is the minimum speed needed for the car to leave the track at the top of the hump?
2. Homework Equations
F = mv^2/t
a=V^2/r
P=2[tex]\prod[/tex]r
A=[tex]\prod[/tex]r^2
3. The Attempt at a Solution
a) v= 6m/s , Fnet=?
F=mv^2/r
F= (400)(6^2)/ 10
Fnet = 1440 N  WRONG!
RIGHT  2600N
How did they get that answer?  Could someone please help with this issue.
Kindest Regards,
TheKovac
1. Homework Statement
A car of mass 400kg travels over a bump of radius 10m on a track in a fun park.
a) What force is exerted by the track on the car when it travels over the top of the hump at a speed of 6 m/s.
b) What is the minimum speed needed for the car to leave the track at the top of the hump?
2. Homework Equations
F = mv^2/t
a=V^2/r
P=2[tex]\prod[/tex]r
A=[tex]\prod[/tex]r^2
3. The Attempt at a Solution
a) v= 6m/s , Fnet=?
F=mv^2/r
F= (400)(6^2)/ 10
Fnet = 1440 N  WRONG!
RIGHT  2600N
How did they get that answer?  Could someone please help with this issue.
Kindest Regards,
TheKovac
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