Help me with this physics/math problem. It is a circular motion problem.

A 719-kg roller coaster starts from the top of a hill and rolls down. It enters a loop for which the radius at the top is 98.1 meters. The track is designed in such a way that 4200 Newtons is the maximum force allowed in the rail. Determine the MAXIMUM speed at which the 719-kg roller coaster can move through the top of the loop and remain safe.

Question

Help me with this physics/math problem. It is a circular motion problem.

A 719-kg roller coaster starts from the top of a hill and rolls down. It enters a loop for which the radius at the top is 98.1 meters. The track is designed in such a way that 4200 Newtons is the maximum force allowed in the rail.  Determine the MAXIMUM speed at which the 719-kg roller coaster can move through the top of the loop and remain safe.

steve816 · Answer

Ok, so what I'm confused with is that the maximum force allowed is 4200 Newtons. I am wondering if this is the net force or something.

steve816 · Answer

@mhchen

steve816 · Answer

@IrishBoy123

mrs.ambrose614 · Answer

Follow what you think is right

mrs.ambrose614 · Answer

Wha are your options????

steve816 · Answer

there are no options...

mrs.ambrose614 · Answer

So what do you need helps others if their are no options????

steve816 · Answer

ok, I have no idea what you're saying, can you help with this problem?

mrs.ambrose614 · Answer

I was saying what do you need help with if their are no options???

steve816 · Answer

Just because there are no options doesn't mean I don't need help. I guess you have always did work with multiple choice options...

johnweldon1993 · Answer

It's just a centripetal force question

*on my phone so I can't write it in the equation edition but*

F=ma
F_c = m*((v^2)/(r))

*that's "centripetal force is equal to the mass of the object times its centripetal acceleration"...which is the velocity squared decided by the area*

You have the max force, the mass, and the radius of the loop, so you can calculate the max velocity the coaster can reach.

vuriffy · Answer

^^

steve816 · Answer

I am still stuck on this. I don't know whether the max force is the net force. At the top of the loop, there is still a force of gravity as well as the normal force. I don't know what is meant my max force.

random231 · Answer

If you go to the gym, how much weight can you lift up?

random231 · Answer

can you lift 1000 kgs?

steve816 · Answer

no...

random231 · Answer

okay so there is a certain weight that you can lift and that is the max for you. Similarly theres a maximum force that a track can handle. So when the roller coaster is taking the turn the net force acting on the track should not exceed the max force(4200 N)

steve816 · Answer

Ok, can you just tell me how to get the net force?

random231 · Answer

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