Haley is spinning a rope with a weight tied at the end above her head. The rope is 1.25 m long, and the centripetal acceleration of the weight is 16.4 m/s2. What is the speed of the weight at the end of Haley's rope?   4.53 m/s   3.29 m/s   20.5 m/s   16.1 m/s

A ball is on the end of a string. The ball is being swung in a vertical circle at a constant speed. The length of the string is 1.25 m. The mass of the ball is 2.10 kg. The maximum tension the string can withstand is 61.0 N. What is the max speed of the ball without breaking the string when the ball is at the top of the circle (point a)?

In addition to their remarkable top speeds, she does have impressive cornering abilities. In one study, the sideways force on the feet of a 50 kg cheetah, with its claws dug into the ground, was found to be 960 N. What was the cheetahs centripetal acceleration?

A ball is swung in a horizontal circle at a constant speed. Each circle takes 0.85 seconds to complete and the rope is 0.40 m long. What is the centripetal acceleration?

Please don't use Chatgpt will upvote and give handwritten solution

A roller coaster contains a loop-the-loop in which the car and rider are completely upside down at the top of the loop. The radius of the loop is 16 m. What minimum speed (in m/s) must the car have at the top so that the rider does not fall out while upside down? Assume the rider is not strapped to the car. 12.53 m/s. What is the magnitude of the normal force at the top of the loop? What is the magnitude of the normal force at the bottom of the loop?

A vial containing a blood sample is placed into a centrifuge, which spins the sample quickly to separate the blood into its parts. The centrifuge has a radius of 0.12 m, and spins at a rate of 1750 rpm. If the blood sample and vial have a combined mass of 95 g, what is the centripetal force holding the vial in place?   22.0 N   991 N   4030 N   383 N

The diagram shows a student seated on a rotating circular platform, holding a 2.0-kilogram block with a spring scale. The block is 1.2 meters from the center of the platform. The block has a constant speed of 8.0 meters per second. What is the centripetal force on the block?

Luther is designing a roller coaster for an amusement park. At one point, the roller coaster will enter a horizontal loop at a speed of 31.8 m/s. If Luther does not want the centripetal acceleration to exceed 29.0 m/s2, what is the minimum radius of the horizontal loop?

A car drives around a curve with radius 400 m at a speed of 32 m/s. The road is banked at 7.0 degree. The mass of the car is 1500 kg. What is the magnitude of the centripetal force in order to make this turn?   I am given an answer of 3800N, but not quite sure how to get there. Thanks!