2) A 0.25 kg mass is attached to a string and swung in a vertical circle whose radius is 0.75m. At the bottom of the circle, the mass is observed to have a speed of 10 m/s. What is the magnitude of the tension in the string at that point? a) 2.45N b) 5.78N c)22.6N d) 35.7N e) 44.7 N

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Chapter1: Units, Trigonometry. And Vectors
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### Physics Problem Set

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**Problem 2:**
A 0.25 kg mass is attached to a string and swung in a vertical circle whose radius is 0.75 m. At the bottom of the circle, the mass is observed to have a speed of 10 m/s. What is the magnitude of the tension in the string at that point?

- a) 70 N
- b) 98 N
- c) 126 N
- d) 148 N
- e) 155 N

**Problem 3:**
A car and driver have a combined mass of 1000 kg. The car passes over the top of a hill that has a radius of 10 m. The speed of the car at that instant is 5 m/s. What is the force of the hill on the car as it passes over the top?

- a) 7300 N up
- b) 7300 N down
- c) 12,300 N up
- d) 12,300 N down
- e) 0 N

---

These problems involve calculating forces in different physical scenarios, applying concepts such as tension in a string and forces during circular motion. For problem 2, you will need to apply the formula for tension in a string during circular motion, considering both centripetal force and gravitational force. Problem 3 involves analyzing the forces acting on a car moving over the top of a hill, considering gravitational force and centripetal force to find the net force exerted by the hill on the car.
Transcribed Image Text:### Physics Problem Set --- **Problem 2:** A 0.25 kg mass is attached to a string and swung in a vertical circle whose radius is 0.75 m. At the bottom of the circle, the mass is observed to have a speed of 10 m/s. What is the magnitude of the tension in the string at that point? - a) 70 N - b) 98 N - c) 126 N - d) 148 N - e) 155 N **Problem 3:** A car and driver have a combined mass of 1000 kg. The car passes over the top of a hill that has a radius of 10 m. The speed of the car at that instant is 5 m/s. What is the force of the hill on the car as it passes over the top? - a) 7300 N up - b) 7300 N down - c) 12,300 N up - d) 12,300 N down - e) 0 N --- These problems involve calculating forces in different physical scenarios, applying concepts such as tension in a string and forces during circular motion. For problem 2, you will need to apply the formula for tension in a string during circular motion, considering both centripetal force and gravitational force. Problem 3 involves analyzing the forces acting on a car moving over the top of a hill, considering gravitational force and centripetal force to find the net force exerted by the hill on the car.
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