A car is travelling with a speed of 45km/h on a circular horizontal track of radius 50m. What is the minimum coefficient of friction, so that the car stays on the track? Answer: 0.3
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Q: A 53 kg block sliding horizontally across the floor has a coefficient of static friction of us =…
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- An object is given an initial speed of 5 m/s on a horizontal surface.It slides 10 m on the horizontal surface before it stops due to friction.What is the coefficient of kinetic friction between the object and the surface?A car is driving along a circular track with diameter d = 0.59km at a constant speed of v = 21.2 m/s. Write an expression and find the value for the minimum coefficient of friction between the cars tires and road required in order to keep the car going in a circle in terms of the given parameters.looking at a ski slope, the length of the slope is 10.00x10^2m and the top of the slope is at an angle of 8.00 degrees relative to the horizontal. Once the slope has ended the skier continues along a level horizontal before stopping. The coefficient of kinetic friction between the skis and the snow is 0.090 on both the slope and the straight horizontal section. What is the distance that the man travels on this horizontal section, assuming that the man started from the rest at the top of the slope.
- A block of mass m = 10.5 kg rests on an inclined plane with a coefficient of static friction of µ, = 0.11 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.3 m at its tallest point. Write an expression, in terms of 0, the mass m, the coefficient of static friction u, and the gravitational constant g, for the magnitude of the force due to static friction, F, just before the block begins to slide. Will the block slide?An engineer wants to design an oval racetrack such that 3.20 x 10° lb racecars can round the exactly 1000 ft radius turns at 105 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle 0 necessary for the race cars to navigate the turns at 105 mi/h without the aid of friction. This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h. What additional radial force is necessary to prevent a race car from drifting on the curve at 175 mi/h? radial force: NAn engineer wants to design an oval racetrack such that 3.20 x 10° lb racecars can round the exactly 1000 ft radius turns at 105 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle 0 necessary for the race cars to navigate the turns at 105 mi/h without the aid of friction. This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 x 10 lb stock cars travel around the turns at about 175 mi/h. What additional radial force is necessary to prevent a race car from drifting on the curve at 175 mi/h? radial force:
- When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of uN, is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction p = 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is where x(t) x(0) = 0 mg sin 60° 9.81 m/sec?. mg cos 60° 600 mg Determine the equation of motion for the object as it slides down the plane. X(t)%3DYou have devised an experiment to measure the kinetic coefficient of friction between a ramp and a mass. You place the mass on the ramp at an angle high enough that the mass starts sliding. You measure the time it takes to fall down a known distance. The time it takes to fall down the 45 degree ramp starting from a standstill is At = 0.46 sec, m=1 kg, and the distance it falls, Ax , is 0.5 m. What is µk? m Дх in At UkA mass m slides up an incline (with = 32.1 degrees above the horizontal) until it stops momentarily because of friction. The coefficient of static friction between the mass and incline is 0.9; the coefficient of kinetic friction between the mass and incline is 0.4. At a given instant, the mass is moving with speed of 4.3 m/s up the incline. How far beyond this point along the incline will the mass move before it comes to a stop?
- A car is moving at 20 m/s along a horizontal road has its brakes suddenly applied and eventually comes to rest. What is the shortest distance in which it can be stopped if the friction coefficient between tires and road is 0.90? Assume that all four wheels brake identically. If the brakes don't lock the car stops via static friction.Two packages slide down a 20 degree ramp from rest a distance of d=6.6 m along the ramp. Package A has a mass of 5.0 kg and a coefficient of kinetic friction 0.20 between it and the ramp. Package B behind package A has a mass of 10 kg and a coefficient of kinetic friction 0.15 between it and the ramp. How long does it take package A to reack the bottom?A ski slides down a 25° slope for 25 m before taking off from a negligibly short horizontal ramp. If the jumper’s take-off speed is15 m/s, what is the coefficient of kinetic friction between skis and slope?