6. A stationary soccer ball is kicked by a player's foot. The foot is in contact with the ball for 2 s. The 0.44 kg ball reaches a speed of 32 m/s. What is the force exerted on the ball? 7. A 25 kg package is pulled by a 50 N force such that it slides along a horizontal surface. If the force acts at an angle of 40° above the horizontal and the coefficient of kinetic friction between the package and the surface it slides on is 0.2, what is the acceleration of the package? 8. A fish weighs 30 N at rest. How much does it weigh in an elevator (a) accelerating upwards at 4 m/s^2, (b) accelerating downwards at 4 m/s^2, (c) in free fall? 9. A skier moving at 10 m/s slides down a 10° slope and stops in 2 s. What is the skier's stopping distance if (a) the slope's surface is frictionless? (b) the slope's surface has friction? Assume that the coefficient of friction between the skier and the slope's surface is 0.18. 10. A certain stunt car track is a vertical loop of radius 50.0 m. At what minimum speed should the stuntman ride a car such that the car stays on the track at the top of the loop? Assume that the reaction or normal force at the top of the loop is 500 N, and the mass of the stuntman and car is 700 kg. Use the diagram below as a guide for the forces acting on the car.
Added by Eric R.
Step 1
Step 1: Calculate the acceleration of the soccer ball using the formula for acceleration: \[ a = \frac{v_f - v_i}{t} \] where \( v_f = 32 \, m/s \) (final velocity), \( v_i = 0 \, m/s \) (initial velocity), and \( t = 2 \, s \) (time). Show more…
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