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4. A pendulum is made of a 2.0 kg stone swinging on a 4.0 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. a) What is the speed when the string makes an angle of 60°to the vertical? b) What is the greatest angle with the vertical the string will make during the stone's motion? c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? Answers: a) 5.0 m/s b) 79° c) 64.0J

4. A pendulum is made of a 2.0 kg stone swinging on a 4.0 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. a) What is the speed when the string makes an angle of 60°to the vertical? b) What is the greatest angle with the vertical the string will make during the stone's motion? c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? Answers: a) 5.0 m/s b) 79° c) 64.0J

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Physics Problems and Solutions** 1. **A ball is thrown upwards:** - A 0.63 kg ball is thrown upwards with an initial speed of 14 m/s and reaches a maximum height of 8.1 m. How much energy is dissipated by the air drag on the ball during its ascent? - **Answer:** 11.7 J 2. **A projectile launched from a cliff:** - A 0.55 kg projectile is launched from the edge of a cliff with an initial kinetic energy of 1550 J. The highest point it reaches above the launch point is 140 m. - a) What is the horizontal component of its velocity? - b) What was the vertical component of its velocity just after launch? - c) At one instant during its flight, the vertical component of the velocity is 65 m/s. At that time, how far is it above or below the launch point? - **Answers:** a) 54 m/s b) 52 m/s c) 76 m below the launch height 3. **Skydiver falling at terminal speed:** - A skydiver of mass 68 kg falls at a constant terminal speed of 59 m/s. - a) At what rate is the gravitational potential energy of the Earth-skydiver system being reduced? - b) At what rate is mechanical energy being dissipated? - **Answers:** a) 3.9 x 10³ W b) 3.9 x 10³ W 4. **Pendulum with a swinging stone:** - A pendulum is made of a 2.0 kg stone swinging on a 4.0 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. - a) What is the speed when the string makes an angle of 60° to the vertical? - b) What is the greatest angle with the vertical the string will make during the stone's motion? - c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? - **Answers:** a) 5.0 m/s b) 79° c) 64.0 J
Transcribed Image Text:**Physics Problems and Solutions** 1. **A ball is thrown upwards:** - A 0.63 kg ball is thrown upwards with an initial speed of 14 m/s and reaches a maximum height of 8.1 m. How much energy is dissipated by the air drag on the ball during its ascent? - **Answer:** 11.7 J 2. **A projectile launched from a cliff:** - A 0.55 kg projectile is launched from the edge of a cliff with an initial kinetic energy of 1550 J. The highest point it reaches above the launch point is 140 m. - a) What is the horizontal component of its velocity? - b) What was the vertical component of its velocity just after launch? - c) At one instant during its flight, the vertical component of the velocity is 65 m/s. At that time, how far is it above or below the launch point? - **Answers:** a) 54 m/s b) 52 m/s c) 76 m below the launch height 3. **Skydiver falling at terminal speed:** - A skydiver of mass 68 kg falls at a constant terminal speed of 59 m/s. - a) At what rate is the gravitational potential energy of the Earth-skydiver system being reduced? - b) At what rate is mechanical energy being dissipated? - **Answers:** a) 3.9 x 10³ W b) 3.9 x 10³ W 4. **Pendulum with a swinging stone:** - A pendulum is made of a 2.0 kg stone swinging on a 4.0 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. - a) What is the speed when the string makes an angle of 60° to the vertical? - b) What is the greatest angle with the vertical the string will make during the stone's motion? - c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? - **Answers:** a) 5.0 m/s b) 79° c) 64.0 J
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