1. An Earth satellite moves in a circular orbit 615 km above the Earth's surface. The period of the motion is 96.8 min.
(a) What is the speed of the satellite?
(b) What is the magnitude of the centripetal acceleration of the satellite?
2. A rotating fan completes 1200 revolutions every minute. Consider a point on the tip of a blade, at a radius of 0.17 m.
(a) Through what distance does the point move in one revolution?
(b) What is the speed of the point?
(c) What is the magnitude of its acceleration?
(d) What is the period of the motion?
3. Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 9.0 N, acting due east, and the other is 7.2 N, acting 61° north of west. What is the magnitude of the body's acceleration?
4. The 1 kg standard body has an acceleration of 2.00 m/s2 at 31° to the positive direction of the x axis.
(a) What are the x and y components of the net force on it?
(b) What is the net force in unit-vector notation?
5. While two forces act on it, a particle is to move at the constant velocity v = (3 m/s) - (4 m/s) . One of the forces is F1 = (4 N) + (- 6 N) . What is the other force?
6. A 0.150 kg particle moves along an x axis according to x(t) = -13.00 + 2.00t + 3.50t2 - 2.50t3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.40 s?
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