need help with these 5 questions, thank you

1 Physics 20: SUMMER Assignment 8 127 Assignment 8 Unit C Module 1, Lesson 1: Understanding Circular Motion Lesson 1 of this assignment is worth 14 marks. The value of each question is noted in the left margin in parentheses. 1. Use the information below to answer parts a-f. A ball is attached to a string and swung in a horizontal circle at a constant speed. Assume air resistance is negligible. a) Draw a free body diagram of the force(s) acting on the ball in the horizontal plane. Also include in your diagram any non-zero velocity and/or acceleration vector(s) of the ball. Label your coordinate system as the following: Positive is towards the centre of the circle (4) Negative is away from the centre of the circle (1) b) Circle A, B, C, or D below. The force(s) on the ball causing the circular motion changes A) only the direction of the ball. B) only the speed of the ball. () both the direction and speed of the ball. D) neither the direction nor the speed of the ball. @ ADLC All Rights Reserved (2022)N Physics 20: SUMMER Assignment 8 c) Circle True or False below. (1) The ball is accelerating. True ii) False d) If the string tripled in length but the speed of the ball remained the same, show mathematically how the inward force on the ball would change. (2) e) The ball is swung to revolve exactly 3 times in 1.0 s. What is the ball's period? (1) @ ADLC All Rights Reserved (2022)3 Physics 20: SUMMER Assignment 8 f) The ball is swung to revolve exactly 3 times in 1.0 s on a 30.0 cm string. If the string broke, what speed would the ball have when it is released? (2) 2. Your 1500 kg SUV enters a 35.0 m radius traffic circle. It is an icy day and the coefficient of static friction between your tire and the road is 0.15. What is the maximum speed that you can go through the traffic circle without sliding? Answer in km/h. (3)Physics 20: SUMMER Assignment 8 Unit C Module 1, Lesson 2: Newton's Laws Applied to Vertical Circular Motion Lesson 2 of this assignment is worth 13 marks. The value of each question is noted in the left margin in parentheses. 3. Use the information below to answer parts a-b. A ball is attached to a string and swung in a vertical circle at a constant speed. Assume air resistance is negligible. a) Draw a free body diagram of the force(s) acting on the ball at the bottom of the circle. Also include in your diagram any non-zero velocity and/or acceleration vector(s) of the ball. Label your coordinate system as the following: Positive is towards the centre of the circle Negative is away from the centre of the circle (4)5 Physics 20: SUMMER Assignment 8 b) The mass of the ball is 0.10 kg and the string is 45 cm long. If the tension in the string when the ball is at the top of the circle is 5.75 N, what is the speed of the (4) rock at that location? 4. A roller coaster car filled with passengers has a mass of 4800 kg. What speed must it have at the top of a 75.0 m-tall vertical circular loop in order for the car not to fall off the track? (2)Physics 20: SUMMER Assignment & 5. Use the following information to answers parts a-b. A bucket filled with water has a mass of 4.54 kg. It is tied to a 65 cm-long rope that can withstand a force of 525 N. The bucket is spun at a constant speed with a frequency of 2.0 Hz. a. Calculate the tension in the rope at the bottom of the circle. (2) b. Using only your answer from a, can you determine if the rope is strong enough to withstand the circular motion? Explain. (1)