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A car is moving on a circular road of d...

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

A

`5 N`

B

`1000 N`

C

`500 sqrt(2) N`

D

`(500)/ (sqrt(2)) N`

Text Solution

Verified by Experts

The correct Answer is:
C
Here ` , r= 25 m , v= 5 ms^(-1) , m = 500 kg , a_t = 1 ms^(-2)`
` a_r = (v^2)/(r ) = ( 5 xx 5)/( 25) = 1 ms^(-2)`
` therefore a_(" net") = sqrt(a_(r)^(2) + a_(t)^(2)) = sqrt(1^2 + 1^2 ) = sqrt(2) ms^(-2)`
` therefore f= ma_("net") = 500 sqrt(2) N`
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