1. A hockey puck of mass m = 140 g is attached to a string that passes through a hole in the center of a table, as shown in the figure below. The hockey puck moves in a circle of radius r = 0.700 m. Tied to the other end of the string, and hanging vertically beneath the table, is a mass M = 0.700 kg. Assuming the tabletop is perfectly smooth, what speed must the hockey puck have if the mass (M) is to remain at rest? m/s M 2. Jill of the Jungle swings on a vine 7.30 m long. What is the tension in the vine if Jill, whose mass is 61.0 kg, is moving at 2.30 m/s when the vine is vertical? N :890 3. A satellite has a mass of $890 kg and is in a circular orbit 3.80 100 m above the surface of a planet. The period of the orbit is 1.75 hours. The radius of the planet is 4.35 x 10 m. What would be the true weight of the satellite if it were at rest on the planet's surface? (G = 6.67 10-11 N.m/kg 2) N 4. A 1.45 kg ball is connected by means of two ideal strings to a horizontal, rotating rod. The strings are tied to the rod and are taut. The right string is 25.0 cm long and has a tension of 30.1 N, and it makes an angle 82 = 52.0 with the rod, while the left string makes an angle 01 65.0 angle with the rod. At the instant shown the ball is at its highest point. (a) What is the tension in the left-hand string? N = 0 1 02 5. A 1900 kg car rounds a curve of radius 68.0 m banked at an angle of 11.0. What is the magnitude of the friction force required for the car to travel at 84.0 km/h? N 6. The blade of a windshield wiper moves through an angle of 86.0 in 0.41 s. The tip of the blade moves the arc of a circle that has a radius of 0.4 m. What the magnitude of the centripetal acceleration of the tip the blade? m/s 7. A 1.35-kg ball is tied to a 1.26-m long string is being spun in a vertical circle at a constant speed and with a period of 1.55 s. What is the minimum tension in the string? N 8. You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 46.0 m, how fast must the cart be moving in order for you to feel 2.75 times as heavy at the bottom of the loop? m/s 9. When a road is dry, a particular car can safely navigate a turn with a 175 m radius of curvature at a maximum speed of 22.0 m/s without slipping. What is the coefficient of static friction between the tires and the road? 10. An airplane is traveling at 170 m/s and performs a vertical loop in 23.0 s. Determine the force due to the seat on the 66.0 kg pilot at the top of the loop while upside down. N