a] Work done by friction force = change in KE
-Friction*d = 0-0.5mv0^2
friction*111 = 0.5*1430*35^2
friction = 0.5*1430*35^2/111 = 7891 N
b] maximum possible static friction fs,max = us mg = 0.540*1430*9.8 = 7567.56 N
c] acceleration a= -uk*g = -0.4*9.8 = -3.92 m/s^2
by third equation of motion, v = sqrt(u^2+2as) = sqrt(35^2+2*-3.92*111) = 18.835 m/s answer
d] friction force = mv0^2/d = 1430*35^2/111 = 15781 N
Flying Circus of Physics Brake or turn? The figure depicts an overhead view of a car's...
Brake or turn? Figure 6-45 depicts an overhead view of a car's path as the car travels toward a wall. Assume that the driver begins to brake the car when the distance to the wall is d = 109 m, and take the car's mass as m = 1430 kg, its initial speed as v0 = 37.0 m/s, and the coefficient of static friction as μs = 0.530. Assume that the car's weight is distributed evenly on the four wheels,...
Flying Circus of Physics In the figure, a climber leans out against a vertical ice wall that has negligible friction. Distance a is 0.915 m and distance L is 2.25 m. His center of mass is distance d = 0.85 m from the feet-ground contact point. If he is on the verge of sliding, what is the coefficient of static friction between feet and ground? com- Us = Number Units
An automobile traveling at speed v on a level surface approaches a brick wall. When the automobile is at a distance d from the wall, the driver suddenly realizes that he must either brake or turn. If the coefficient of static friction between the tires and the surface is µ, what is the minimum distance that the driver needs to stop (without turning)? What is the minimum distance that the driver needs to complete a 90◦ turn (without braking)? What...
A car of mass M = 800 kg traveling at 55.0 km/hour enters a banked turn covered with ice. The road is banked at an angle ?, and there is no friction between the road and the car's tires as shown in(Figure 1) . Use g = 9.80 m/s2 throughout this problem. Now, suppose that the curve is level (?=0) and that the ice has melted, so that there is a coefficient of static friction ? between the road and...
A car of mass M = 1300 kg traveling at 65.0 km/hour enters a banked turn covered with ice. The road is banked at an angle θ, and there is no friction between the road and the car's tires as shown in (Figure 1) . Use g = 9.80 m/s2 throughout this problem. r= 91.43 m. Now, suppose that the curve is level (θ=0) and that the ice has melted, so that there is a coefficient of static friction μ...
A 960-kg race car can drive around an unbanked turn at a maximum speed of 45 m/s without slipping. The turn has a radius of 160 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 13000 N on the car. (a) What is the coefficient of static friction between the track and the car's tires? (b) What would be the maximum speed if no downforce acted on the car?
A 810-kg race car can drive around an unbanked turn at a maximum speed of 40 m/s without slipping. The turn has a radius of 120 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 9200 N on the car. What is the coefficient of static friction between the track and the car's tires? What would be the maximum speed if no downforce acted on the car?
A 860-kg race car can drive around an unbanked turn at a maximum speed of 44 m/s without slipping. The turn has a radius of 140 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 11000 N on the car. (a) What is the coefficient of static friction between the track and the car's tires? (b) What would be the maximum speed if no downforce acted on the car?
A 900-kg race car can drive around an unbanked turn at a maximum speed of 42 m/s without slipping. The turn has a radius of 170 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 10000 N on the car. (a) What is the coefficient of static friction between the track and the car's tires? (b) What would be the maximum speed if no downforce acted on the car?
The driver of a car of mass M which is moving along a straight road with initial speed v0 sees a deer in her headlights, and reacts quickly, lifting her foot of the gas and applying the brake pedal with maximum force. The anti-lock brakes cause the largest possible static friction force to be applied on the tires by the road, which continue to roll so the car does not skid. The coefficient of static friction between the tires and...