Calculating Mass for Centripetal Force at 100 km/h Speed with 350 m Radius Curve

[Brittykitty]

A 2.4 x 103 N force is necessary to keep a car and driver moving at a speed of 100 km/h through the middle of a highway curve that has a radius of 350 m. What is the mass of the car and driver?

Im really confused on this question, I was told the formula should be something like

FC=MV^2 / R

but how can I find the mass.

Help!

 

[rock.freak667]

Yes that formula is correct, can you arrange it so that M alone is on one side of the equation?

 

[Brittykitty]

M=fc/r?

 

[rock.freak667]

M=fc/r?

what happened to the v²?

 

[Brittykitty]

Im not sure :(

FC=MV^2 / R

M=(FC)(V^2)/R?

 

[rock.freak667]

Im not sure :(

FC=MV^2 / R

M=(FC)(V^2)/R?

From F_c=mv²/r

if you multiply both sides by r and then divide by sides by v², what do you get?

 

[Brittykitty]

I really have no idea :\

 

[rock.freak667]

I really have no idea :\

If ab=c, what is b equal to ?

 

[Brittykitty]

not too sure..

 

[rock.freak667]

not too sure..

Do you know how rearrange equations to make one variable the subject of the formula?

 

[Brittykitty]

Would it be

m = fc(r)/v^2

answer 1.1 x 103 kg ?

 

[rock.freak667]

That should be correct.

 

[Brittykitty]

That you so much! :):)