1. A satellite orbits Earth in a circular path at a constant speed of 7200 m/s. If the radius of the orbit is [math]7.0 \times 10^6 \, \text{m}[/math], what is the centripetal acceleration experienced by the satellite?[br][br]2. A child swings a 0.50 kg toy on a 1.2 m string in a horizontal circle at a constant speed. If the string makes an angle of [math]30^\circ[/math] with the vertical, what is the speed of the toy?[br][br]3. A racecar navigates a banked turn with a radius of 150 m and a banking angle of [math]12^\circ[/math]. If the fastest the car can travel without slipping is 25 m/s, what is the coefficient of friction between the tires and the surface? Assume [math]g = 9.8 \, \text{m/s}^2[/math].[br][br]4. A Ferris wheel with a radius of 10.0 m rotates at a constant angular velocity of [math]0.15 \, \text{rad/s}[/math]. What is the normal force on a 60 kg passenger at the top of the wheel?[br][br]5. A 0.3 kg ball is spun in a vertical circle on a 0.8 m string at a constant speed. If the tension in the string is 5.0 N at the bottom of the circle, what is the speed of the ball?[br][br]6. A stunt pilot flies in a vertical loop of radius 500 m. What is the minimum speed required at the top of the loop to prevent the pilot from experiencing a normal force less than zero? Assume [math]g = 9.8 \, \text{m/s}^2[/math].[br][br]7. A planet orbits a star in a circular orbit with a period of 4.0 Earth years. If the orbital radius is [math]3.0 \times 10^{11} \, \text{m}[/math], what is the mass of the star? Use the gravitational constant [math]G = 6.674 \times 10^{-11} \, \text{m}^3 \text{kg}^{-1} \text{s}^{-2}[/math].[br][br]8. A centrifuge spins a sample at 3000 rpm in a circle of radius 0.10 m. What is the centripetal acceleration of the sample? (rpm = revolutions per minute)[br][br]9. A 200 kg rollercoaster car travels through a horizontal circular turn of radius 25 m at a speed of 15 m/s. If the track is banked at [math]10^\circ[/math], what is the magnitude of the frictional force required to prevent slipping?[br][br]10. A particle moves in a circular path of radius 2.0 m with a constant tangential acceleration of [math]1.5 \, \text{m/s}^2[/math]. If it starts from rest, what is its total acceleration after 3.0 seconds?[br]

1. [math]7.40 \, \text{m/s}^2[/math] [br]2. [math]1.82 \, \text{m/s}[/math] [br]3. [math]0.28[/math] [br]4. [math]587 \, \text{N}[/math] using g=9.8m/s/s. [br]5. [math]2.34 \, \text{m/s}[/math] [br]6. [math]70.0 \, \text{m/s}[/math] [br]7. [math]1.59 \times 10^{30} \, \text{kg}[/math] [br]8. [math]9869 \, \text{m/s}^2[/math] [br]9. [math]1564 \, \text{N}[/math] [br]10. [math]3.35 \, \text{m/s}^2[/math]