James Bond and the ever present bond girl are on a dirt bike escaping from a car load of bad guys. If we have the following conditions:
James Bond’s mass is 84 Kg
The Bond Girl is 48Kg
The Dirt Bike’s mass is 113.6 Kg
The tires on the dirt bike are 0.6m in diameter
With Bond and the girl on the dirt bike it can reach a top speed of 111 KpH
The coefficient of static friction between the bike and the road is 0.71
The coefficient of kinetic friction between the bike and the road is 0.4
a. How fast can the dirt bike go around a 90° curve, 6 m from the center of rotation, without losing traction?
b. As they pull out of the curve, the woman pulls a knife and tries to stab Bond. During the fight he knocks her off the bike. What is the maximum angular velocity of the tires, with just Bond on the bike?
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