Question

Question #d7452

Answer 1

I found `22m/s` but check my maths!

Explanation:

Have a look at the diagram (crappy, I know...):

You can see that vertically the weight `W` of the car and the `y` component of the normal reaction `N_y` are in equilibrium. Horizontally the `x` component of the normal reaction `N_x` is the only Centripetal Force that will allow the car to make it out the bend.
We use Newton`s Second law (`SigmavecF=mveca`) to express these two options:

Vert. `N_y-W=0`

Horiz. `N_x=ma_c=mv^2/r`

where `a_c` is the centripetal acceleration.

Using the angle and the mass given (and `g=9.8m/s^2`):
Vert. `Ncos(10^@)-1000*9.8=0`
`N=56,436N`

Horiz. `Nsin(10^@)=1000v^2/50` that with our value of `N` gives us:
`v=22m/s`