A car is moving on a circular road of diameter 50 m with a speed of 5 m/s. It is suddenly accelerated at a rate of `1 m//s^(2)`. If the mass of he car is 500 kg, then the net force acting on the car is

Options

A. 5 N
B. 1000 N
C. `500sqrt(2) N`
D. `(500)/(sqrt(2))`

Explanation

(c) Given ,r =25 m, v =5 m/s , m 500 kg
`a_(t)=1m//s,a_(r)=(v^(2))/(r)=(5xx5)/(25)=1m//s^(2)`
`a_("net")=sqrt(a_(t)^(2)+a_(r)^(2))`
`sqrt(1^(2)+1^(2))=sqrt(2) m//s ^(2)`
`F=ma_("net")=500sqrt(2))N`