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1. A 59-kg person on skis is going down a hill sloped at 30° from the horizontal. The coefficient of friction between the skis and the snow is 0.18. What would be the magnitude of the acceleration? m/s2 2. A force of 42.0 N accelerates a 5.0-kg block at 6.3 m/s2 along a horizontal surface. (a) How large is the frictional force? N (b) What is the coefficient of friction? 3. A 210-kg crate is pushed horizontally with a force of 700 N. If the coefficient of friction is 0.20, calculate the acceleration of the crate. m/s2 4. Joe wishes to hang a sign weighing 730 N so that cable A, attached to the store, makes a 30.0° angle, as shown below. Cable B is horizontal and attached to an adjoining building. What is the tension in cable B? N 5. A sled with a mass 51.0 kg is pulled along flat, snow-covered ground. The static friction coefficient is 0.30, and the kinetic friction coefficient is 0.10. (a) What does the sled weigh? N (b) What force will be needed to start the sled moving? N (c) What force is needed to keep the sled moving at a constant velocity? N (d) Once moving, what total force must be applied to the sled to accelerate it at 2.9 m/s2? N 6. Your mass is 60 kg. You stand on a bathroom scale in an elevator on Earth. (a) What force would the scale exert when the elevator moves up at a constant speed? (b) What force would the scale exert when it slows at 1.9 m/s2 while moving upward? (c) What force would the scale exert when it speeds up at 1.9 m/s2 wile moving downward? (d) What force would the scale exert when it moves downward at a constant speed? (e) What force would the scale exert when it slows to a stop at a constant magnitude of acceleration? 7. You place a 7.30-kg television on a spring scale. If the scale reads 73.35 N, what is the acceleration due to gravity at that location? m/s2 (downwards) 8. An 883-kg (1951 lb) dragster, starting from rest, attains a speed of 27.0 m/s (60.5 mph) in 0.59 s. (a) Find the average acceleration of the dragster during this time interval. m/s2 (b) What is the magnitude of the average net force on the dragster during this time? (c) Assume that the driver has a mass of 68 kg. What horizontal force does the seat exert on the driver? 9. Suppose a 67-kg boy and a 46-kg girl use a massless rope in a tug-of-war on an icy, resistance-free surface. If the acceleration of the girl toward the boy is 3.0 m/s2, find the magnitude of the acceleration of the boy toward the girl. m/s2 10. A 23 kg suitcase is being pulled with a constant speed by a handle that is at an angle of 23° above the horizontal. If the normal force exerted on the suitcase is 205 N, what is the force F applied to the handle?