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Discipline: Physics

Question topic: Centripetal Acceleration and Centripetal Force

Source: Originais Teachy

Level of difficulty: Easy

(Originais Teachy 2023) - Question Easy of Physics



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Question 1:


A kart race is taking place on a circular track. The karts have a constant speed and are moving in a curve. To ensure that the karts do not leave the track due to centrifugal force, it is important to understand and calculate the centripetal force required to keep the karts on their curved path. Given a kart with a mass of 200 kg and a constant speed of 20 m/s, answer: a) Calculate the centripetal force required to keep the kart on the circular path with a radius of 50 meters. b) Determine the centripetal acceleration that the kart must have in order to stay on the track. c) If the friction force between the tires and the track is responsible for the centripetal force, what should be the minimum coefficient of friction between the tires and the track to ensure that the kart follows the path without leaving the track?
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Question 2:


In an amusement park, a Ferris wheel with a radius of 5 meters rotates at a constant angular velocity of 2 rad/s. When a passenger is at the highest point of the Ferris wheel, what is the centripetal force exerted on them, considering their mass to be 60 kg? (Consider the acceleration due to gravity to be 10 m/s²)
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Question 3:


Source: EAM
Question 4:


In an archery competition, an archer uses a bow with an elastic string that follows Hooke's Law. The bowstring has an elastic constant of 500 N/m. During one of the rounds, the archer pulls the bowstring 0.6 meters before releasing the arrow. Based on this data, calculate the elastic force that the bowstring exerts on the arrow when it is released.
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