PROBLEMS
1. A satellite orbits Earth in a circular path at a constant speed of 7200 m/s. If the radius of the orbit is , what is the centripetal acceleration experienced by the satellite?
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 with the vertical, what is the speed of the toy?
3. A racecar navigates a banked turn with a radius of 150 m and a banking angle of . If the car travels at 25 m/s without slipping, what is the coefficient of friction between the tires and the road? Assume .
4. A Ferris wheel with a radius of 10.0 m rotates at a constant angular velocity of . What is the normal force on a 60 kg passenger at the top of the wheel?
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?
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 .
7. A planet orbits a star in a circular orbit with a period of 4.0 Earth years. If the orbital radius is , what is the mass of the star? Use the gravitational constant .
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)
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 , what is the magnitude of the frictional force required to prevent slipping?
10. A particle moves in a circular path of radius 2.0 m with a constant tangential acceleration of . If it starts from rest, what is its total acceleration after 3.0 seconds?
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