Another practice test question I was not given a workedsolution for: An 800 Newt

Question

Another practice test question I was not given a workedsolution for: An 800 Newton passenger in a car presses against the car doorwith a 200 N force when the car makes a left turn at 13 m/s. Thefaulty door will pop open under a force of 800 N. What is theleast speed for which the man is thrown out of the car? She givesmultiple choices for the answer and I do not get any of these as myanswer. Here are the choices: a. 14 m/s b. 19 m/s c   20 m/s d. 26 m/s e. 54 m/s Please give a worked solution so I can see if I did somethingwrong or if it is a "trick" question. Another practice test question I was not given a workedsolution for: An 800 Newton passenger in a car presses against the car doorwith a 200 N force when the car makes a left turn at 13 m/s. Thefaulty door will pop open under a force of 800 N. What is theleast speed for which the man is thrown out of the car? She givesmultiple choices for the answer and I do not get any of these as myanswer. Here are the choices: a. 14 m/s b. 19 m/s c   20 m/s d. 26 m/s e. 54 m/s Please give a worked solution so I can see if I did somethingwrong or if it is a "trick" question.

Explanation / Answer

force F =m v^2 / r      Since force act on door = mv^ 2 / r           F v ^2           Since mass and radius are constant for velocity v = 13 m / s , force act on door F = 200N For velocity v ' = ? , force act on the door F ' =800 N ( F ' / F ) = ( v ' / v ) ^2     ( 800 N / 200 N ) = ( v ' / 13 ) ^ 2                        v ' = 26 m / s

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