A 69.0-kg ice skater is moving at 4.09 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.900 m around the pole. (a) Determine the magnitude of the force exerted by the horizontal rope on her arms. kN (b) Compare this force with her weight. Frope %3D W

Ⓒ Macmillan Learning An engineer wants to design an oval racetrack such that 3.20 × 10³ lb racecars can round the exactly 1000 ft radius turns at 96 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 necessary for the race cars to navigate the turns at 96 mi/h without the aid of friction. 0 = 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: N

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Answer Saved Suppose the roller skating woman has a mass of 41.3 kg. Her roller blades have a coefficient of kinetic friction 4g = 0.0306 with respect to the street. She approaches the car, slowing to a speed of v = 6.23 m/s when she touches the car. If the average force she exerts to slow herself down has a magnitude of F = 68.3 N how long does it take for her to come to a stop?

A sample of blood is placed in a centrifuge of radius 12.0 cm. The mass of a red blood cell is 3.0 x 10-16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 × 10-¹¹ N. At how many revolutions per second should the centrifuge be operated? rev/s

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A sample of blood is placed in a centrifuge of radius 10.0 cm. The mass of a red blood cell is 3.0 ✕ 10−16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 ✕ 10−11 N. At how many revolutions per second should the centrifuge be operated? ?rev/s

Plz use g = 9.8 m/s2

1O C A cart for hauling ore out of a gold mine has a mass of 439 kg , including its load. The cart runs along a straight stretch of B Track track that climbs a shallow 4.75° incline. A donkey, which is Rope trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 441 N force for a distance of 185 m by means of a rope that is parallel to the slope but makes an angle of 14.5° with the track. A „Track incline Model the rolling resistance of the cart as though it were Horizontal ground sliding on the track with a coefficient of friction of 0.0163. Use g = 9.81 m/s, and note that angle A in the image is the angle of the incline while angle B is the angle the rope makes %3D with the track. Find the work Wa that the donkey performs on the cart during this process. %3D Find the work W, that the force of gravity performs on the cart during this process. = "M Calculate the work W done on the cart by friction during this process. 87