A man riding a bicycle with a 100 kg total mass is performing horizontal circles on flat track. If the coefficient of static friction between the tires and track is 0.600, find the smallest radius the man can make when travelling at a speed of 10.0 m/s.
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- A 720-kg race car can drive around an unbanked turn at a maximum speed of 47 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 12000 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) Number i (b) Number i Units UnitsA 720-kg race car can drive around an unbanked turn at a maximum speed of 46 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 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) Number i (b) Number i Units Units + +A 70 kg motorcyclist turns along a circular arc of radius 72 m, at a speed of 24 m/s. What should be the minimum value of the coefficient of static friction so that the motorcycle does not slip?
- A hockey puck that has a mass of 0.150 kg is tied to a light string and spun in a circle of radius 1.15 m on frictionless ice. If the string breaks under a tension that exceeds 4.00 N, what is the maximum speed vmax of the puck without breaking the Umax = m/s string?Engineers are designing a curved section of a highway to fit into a specific area. The curve has radius 121 m and is banked at an angle such that a car can travel around the curve at 28.7 m/s and stay on the road without the aid of a frictional force. Calculate the required banking angle (as measured above the horizontal). 0 =A car enters a 311-m radius horizontal curve on a rainy day when the coefficient of static friction between its tires and the road is 0.68. What is the maximum speed at which the car can travel around this curve without sliding in m/s? Answer:
- A vehicle with a mass of 2.1×10³ kg is driving at a speed of 61 km/h around a level roadway with a curvature radius of 61 meters, just staying on the roadway (i.e., driving at the maximum safe speed for this turn and the tire treads). What is the coefficient of friction between the tires and the road? (Hint: Watch your units above.) Answer: μ = (no units)A vehicle with a mass of 2.5x103 kg is driving at a speed of 66 km/h around a level roadway with a curvature radius of 56 meters, just staying on the roadway (i.e., driving at the maximum safe speed for this turn and the tire treads). What is the coefficient of friction between the tires and the road? (Hint: Watch your units above.) Answer: μ = __________ (no units)The Texas Motor Speedway is an oval racing track with curves of radius 229 m that are banked at an angle of 24.0°. The size of the track allows for race cars to achieve speeds in excess of 400 km/h. An unintended consequence of the banked curves and high speeds is that race car drivers experience excessive G forces, especially in the "vertical" direction (with respect to their body position), causing dizziness and loss of consciousness. (a) A daring driver, pushing his car to the limit, experiences 4.67g of centripetal acceleration during one banking maneuver. What is the speed of his car during the maneuver? (Give your answer in km/h.) km/h (b) If the driver is seated so that during the banking maneuver his upper body is aligned with the direction normal to the banked curve, what is the magnitude of the component of the centripetal acceleration along the driver's upper body? (Give your answer in terms of g.) a delete
- In an amusement park ride, riders stand against the wall of a spinning cylinder. The floor falls away and the riders are held up by friction. If the radius of the cylinder is 4 m, find the minimum number of revolutions per minute necessary when the coefficient of friction between a rider and the wall is 0.4.A car enters a horizontal, curved roadbed of radius 50.0 m. The coefficient of slatic friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate the unbanked curve?A 693 kg car traveling at 32.8 m/s is going around a curve having a radius of 105.5 m that is banked at an angle of 26.4°. The coefficient of static friction between the car's tires and the road is 0.600. What is the magnitude of the force exerted by friction on the car?