Answer :
To find the maximum safe speed of a car on a banked curve, use the formula v = √(rg tan(θ)), where r is the radius, g is acceleration due to gravity, θ is the banking angle, and 0.5 is the coefficient of friction. Plugging in the values, the maximum safe speed is 99 m/s.Therefore the correct answer is C.
The maximum safe speed of a car rounding a banked curve can be calculated using the formula:
v = √(rg tan(θ))
Given radius = 1000 m, banking angle = 45°, and coefficient of friction = 0.5, plugging in these values gives:
v = √((1000)(9.8)(tan(45°))/0.5) = 99 m/s
