In a grand prix race of mass m= 600 kg as it travels on a fast track on a circular arc of radius r = 100 m because of the shape of the car and the wings on it. The passing air exerts a negative lift FL downward on the car. If the coefficient of static friction between the tire and the track is 0.75 and if the car is on the verge of sliding out of the turn when its speed is 28.6 m/s, what is the magnitude of the negative lift acting downward on the car?
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- Suppose a car rounds a curve at a constant speed of 13 m/s. The curve is a circular arc with a radius of 100 m. Ignore air friction initially. (a) What is the magnitude and direction of the horizontal force that the road must exert on the car to keep it moving along the curve? Express this magnitude as a fraction of the car’s weight. The magnitude of the horizontal force is _______∣F→g∣|. The direction is (Choose one) Horizontal and parallel to the direction the car turns to Vertical and perpendicular to the direction the car turns to vertical and parallel to the direction the car turns to horizontal and perpendicular to the direction the car turns to (b) Now suppose that air friction is not zero, but is about half the result that you calculated for part (a). Must the force that the road exerts on the car increase in magnitude compared to the no-drag case? (Choose )Yes or No Must it change its direction? (Choose) Yes Or NoThe objective of curling, an Olympic discipline, is to throw stones at houses. The stone is a 18 kg block of granite that slides on the carefully prepared ice with a very low coefficient of kinetic friction, μk = 0.0178. With a curling broom the players can increase the friction to get as close as possible to the house, the target pattern embedded in the ice. Frequently an oncoming stone will bump a stone from a previous throw by the competing team. A stone reaches the house with a velocity of 1.2 m/s after traveling the 38 m length of the curling sheet. How fast the stone was going when it was released? The stone did not hit any other stones.In a recent study of how mice negotiate turns, the mice ran BIO around a circular 90° turn on a track with a radius of 0.15 m. The maximum speed measured for a mouse (mass = 18.5 g) running around this turn was 1.29 m/s. What is the minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed?
- A roller-coaster car has a mass of 1000 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 23 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) FN on the car from the track if the car's speed is v = 7.8 m/s? (b) What is FN if v = 20 m/s? Use g=9.81 m/s?. (a) Number ! Units (b) Number i UnitsA velodrome has an aggressively banked curve, where the surface makes an angle of 58.9 degrees with the horizontal. If you are biking around this curve (such that your path traces a horizontal circle with radius 21.7 m as you go around the turn), and the coefficient of static friction of your bike tires with the velodrome surface is 0.617, what is the minimum speed that you can go before starting to slip down the ramp? Give your answer in km/hr.A car of mass 622 kg is driving around a curve with a circular arc of radius 20 m. If the car drives at a speed of 12 m/s, what is the minimum value of the coefficient of friction between the car's tires and the road that will keep the car on the road?
- Two small cylindrical plastic containers with flat bottoms are placed on a turntable that has a smooth flat surface. Canister A is empty; canister B contains lead shot. Each canister is the same distance r from the center. The coefficient of static friction between the canisters and the turntable is ms. When the speed of the turntable is gradually increased,At Ted's request, Bill pushes the pizza box across the granite countertop towards Ted. When the box leaves Bill's hand it is sliding at 2.60 m/s. The box comes to rest over a distance of 110 cm. What is the coefficient of kinetic friction, uk, between the pizza box and the countertop? (Ignore air drag.)