Problem 5: A particle, with a mass of 3 kg, is traveling around a circle of radius R₁ = 1 m. The particle's speed v is a function of its paths (i.e., distance traveled): v(s) = 1 Note that the particle starts at the coordinates (1,0) m and travels to point A given by coordinates (0, 1) m. A y x Figure 5: Circular path of particle. S Based on the information given, answer the following questions: i) ii) iii) What is the tangential component of acceleration at the instant the particle is at point A? What is the normal (or centripetal) component of acceleration at the instant the particle is at point A? What is the net force acting on the particle at the instant it is at point A? Draw a sketch of the particle at point A. Please include the tangential and normal unit vectors, as well as the acceleration, and net force in normal and tangential components. Please do your best to draw to scale. How is the direction of the net force related to the direction of the acceleration?
Problem 5: A particle, with a mass of 3 kg, is traveling around a circle of radius R₁ = 1 m. The particle's speed v is a function of its paths (i.e., distance traveled): v(s) = 1 Note that the particle starts at the coordinates (1,0) m and travels to point A given by coordinates (0, 1) m. A y x Figure 5: Circular path of particle. S Based on the information given, answer the following questions: i) ii) iii) What is the tangential component of acceleration at the instant the particle is at point A? What is the normal (or centripetal) component of acceleration at the instant the particle is at point A? What is the net force acting on the particle at the instant it is at point A? Draw a sketch of the particle at point A. Please include the tangential and normal unit vectors, as well as the acceleration, and net force in normal and tangential components. Please do your best to draw to scale. How is the direction of the net force related to the direction of the acceleration?
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