The Coefficient of Static Friction for the Tyres of a Race

Multiple Choice

The coefficient of static friction for the tyres of a race car is 0.950 and the coefficient of kinetic friction is 0.800. The car is on a level circular track of 50.0 m radius on a planet where $g=2.45 \frac{\mathrm{~m}}{\mathrm{~s}^{2}}$ compared to Earth's $g=9.80 \frac{\mathrm{~m}}{\mathrm{~s}^{2}}$ . If the car is to be able to travel at the same speed on the planet as on Earth, the radius of the track on the planet must be ____ times as large as the radius of the track on Earth.

A) 0.250
B) 0.500
C) 1.00
D) 2.00
E) 4.00