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1. An Airplane drops a package of emergency rations to a stranded party of explorers a distance away. If the plane is traveling horizontally at 55.0m/s and is 80 m above the ground, where does the package strike the ground relative to the point at which it was released? 2. A projectile was launched vertically upward with a speed of 15 m/s from the ground. a) Find the maximum height of the projectile. b) Find the time taken to reach the max height. 3. The pilot of a helicopter notes that the compass indicates a heading due north. The helicopter's speed relative to the air is 42 m/s. If there is a wind of 12 m/s toward the west, a) find the velocity of the airplane relative to the ground. b) How long would it take for the airplane to travel 500 m? 4. A bob of mass m = 0.8 kg revolves in a circle at a constant speed on a horizontal frictionless surface attached to a cord 0.5 m long tied to a pin that is set in the center. If the body completes 6 turns in 2 seconds a) Find the centripetal acceleration on the body by the cord 5. The same object above is now twirled in a vertical circle of radius 0.5 m. If the speed of the object is 4m/s when the chord makes an angle of 30° a) Find the centripetal acceleration b) Find the centripetal acceleration for a speed of 5m/s at the bottom c) Find the speed at the top, if the centripetal acceleration reduces to A= 0.1m/s².

1. An Airplane drops a package of emergency rations to a stranded party of explorers a distance away. If the plane is traveling horizontally at 55.0m/s and is 80 m above the ground, where does the package strike the ground relative to the point at which it was released? 2. A projectile was launched vertically upward with a speed of 15 m/s from the ground. a) Find the maximum height of the projectile. b) Find the time taken to reach the max height. 3. The pilot of a helicopter notes that the compass indicates a heading due north. The helicopter's speed relative to the air is 42 m/s. If there is a wind of 12 m/s toward the west, a) find the velocity of the airplane relative to the ground. b) How long would it take for the airplane to travel 500 m? 4. A bob of mass m = 0.8 kg revolves in a circle at a constant speed on a horizontal frictionless surface attached to a cord 0.5 m long tied to a pin that is set in the center. If the body completes 6 turns in 2 seconds a) Find the centripetal acceleration on the body by the cord 5. The same object above is now twirled in a vertical circle of radius 0.5 m. If the speed of the object is 4m/s when the chord makes an angle of 30° a) Find the centripetal acceleration b) Find the centripetal acceleration for a speed of 5m/s at the bottom c) Find the speed at the top, if the centripetal acceleration reduces to A= 0.1m/s².

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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1. An Airplane drops a package of emergency rations to a stranded party of explorers a distance away. If the plane is traveling horizontally at 55.0m/s and is 80 m above the ground, where does the package strike the ground relative to the point at which it was released? 2. A projectile was launched vertically upward with a speed of 15 m/s from the ground. a) Find the maximum height of the projectile. b) Find the time taken to reach the max height. 3. The pilot of a helicopter notes that the compass indicates a heading due north. The helicopter's speed relative to the air is 42 m/s. If there is a wind of 12 m/s toward the west, a) find the velocity of the airplane relative to the ground. b) How long would it take for the airplane to travel 500 m? 4. A bob of mass m = 0.8 kg revolves in a circle at a constant speed on a horizontal frictionless surface attached to a cord 0.5 m long tied to a pin that is set in the center. If the body completes 6 turns in 2 seconds a) Find the centripetal acceleration on the body by the cord 5. The same object above is now twirled in a vertical circle of radius 0.5 m. If the speed of the object is 4m/s when the chord makes an angle of 30° a) Find the centripetal acceleration b) Find the centripetal acceleration for a speed of 5m/s at the bottom c) Find the speed at the top, if the centripetal acceleration reduces to A= 0.1m/s².
Transcribed Image Text:1. An Airplane drops a package of emergency rations to a stranded party of explorers a distance away. If the plane is traveling horizontally at 55.0m/s and is 80 m above the ground, where does the package strike the ground relative to the point at which it was released? 2. A projectile was launched vertically upward with a speed of 15 m/s from the ground. a) Find the maximum height of the projectile. b) Find the time taken to reach the max height. 3. The pilot of a helicopter notes that the compass indicates a heading due north. The helicopter's speed relative to the air is 42 m/s. If there is a wind of 12 m/s toward the west, a) find the velocity of the airplane relative to the ground. b) How long would it take for the airplane to travel 500 m? 4. A bob of mass m = 0.8 kg revolves in a circle at a constant speed on a horizontal frictionless surface attached to a cord 0.5 m long tied to a pin that is set in the center. If the body completes 6 turns in 2 seconds a) Find the centripetal acceleration on the body by the cord 5. The same object above is now twirled in a vertical circle of radius 0.5 m. If the speed of the object is 4m/s when the chord makes an angle of 30° a) Find the centripetal acceleration b) Find the centripetal acceleration for a speed of 5m/s at the bottom c) Find the speed at the top, if the centripetal acceleration reduces to A= 0.1m/s².
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