I appreciate the help. Take your time

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 gure 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? ' ' H '7] m/s A 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? :JN 3. A satellite has a mass of890 kg and is in a circular orbit 3.80 x 10'5 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 tme weight of the satellite if it were at rest on the planet's surface? (G = 6.67 x 10711 N.m3/kg2) :N 4. A 1.45 kg ball ls connected by means of two ideal strings to a horizontal, rotating rod. The strings are tied to the rod and are lau't. The right string is 25.0 cm long and has a tension of 30.1 N, and It makes an angle 62 = 52.0 with the rod, while the left string makes an angle 61 = 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 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? l N