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Homework #5 1) A ball is thrown at 14.0 m/s at 45° above the horizontal. Someone located 30.0 m away along line of the path starts to run just as the ball is thrown. How fast, and in which direction, must the person run to catch the ball at the level from which it was thrown? 2) If a baseball player can throw a ball at 45° to a point 100 m away horizontally to the initial vertical level, how high could he throw it vertically upward? 3) A motorcyclist plans to jump across a gorge width 32.0 m. He takes off on a 18.0° ramp. What minimum speed does he require if he lands at the initial level? 4) A projectile fired from the ground has a velocity v = 24.0 î – 8.00 j m/s at a height of 9.10 m. Find: (a) the initial velocity; (b) the maximum height. 5) sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a centripetal acceleration of magnitude 3.80 m/s?. What are (a) the track radius and (b) the period of the circular motion? 6) A centripetal-acceleration addict rides in uniform circular motion with radius r= 3.00 m. At one instant his acceleration is a =(6.00 m/s² )i+(-4.00 m/s?)j. At that instant, what are the values of (a) v.a and (b) rxa? 7) The figure below shows a conical pendulum. It consists of a bob is suspended at the end of a string and describes a horizontal circle at a constant speed of 1.28 m/s. If the length of the string is 1.20 m and it makes an angle of 20° with the vertical, find the acceleration of the bob. 8) A stone moves in a circle of radius 60.0 cm and has a centripetal acceleration of 90 m/s?. How long does it take to make 8 revolutions?

Homework #5 1) A ball is thrown at 14.0 m/s at 45° above the horizontal. Someone located 30.0 m away along line of the path starts to run just as the ball is thrown. How fast, and in which direction, must the person run to catch the ball at the level from which it was thrown? 2) If a baseball player can throw a ball at 45° to a point 100 m away horizontally to the initial vertical level, how high could he throw it vertically upward? 3) A motorcyclist plans to jump across a gorge width 32.0 m. He takes off on a 18.0° ramp. What minimum speed does he require if he lands at the initial level? 4) A projectile fired from the ground has a velocity v = 24.0 î – 8.00 j m/s at a height of 9.10 m. Find: (a) the initial velocity; (b) the maximum height. 5) sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a centripetal acceleration of magnitude 3.80 m/s?. What are (a) the track radius and (b) the period of the circular motion? 6) A centripetal-acceleration addict rides in uniform circular motion with radius r= 3.00 m. At one instant his acceleration is a =(6.00 m/s² )i+(-4.00 m/s?)j. At that instant, what are the values of (a) v.a and (b) rxa? 7) The figure below shows a conical pendulum. It consists of a bob is suspended at the end of a string and describes a horizontal circle at a constant speed of 1.28 m/s. If the length of the string is 1.20 m and it makes an angle of 20° with the vertical, find the acceleration of the bob. 8) A stone moves in a circle of radius 60.0 cm and has a centripetal acceleration of 90 m/s?. How long does it take to make 8 revolutions?

College Physics
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter3: Vectors And Two-Dimensional Motion
Section: Chapter Questions
Problem 43P: An airplane maintains a speed of 630 km/h relative to the air it is flying through, as it makes a...
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Homework #5 1) A ball is thrown at 14.0 m/s at 45° above the horizontal. Someone located 30.0 m away along line of the path starts to run just as the ball is thrown. How fast, and in which direction, must the person run to catch the ball at the level from which it was thrown? 2) If a baseball player can throw a ball at 45° to a point 100 m away horizontally to the initial vertical level, how high could he throw it vertically upward? 3) A motorcyclist plans to jump across a gorge width 32.0 m. He takes off on a 18.0° ramp. What minimum speed does he require if he lands at the initial level? 4) A projectile fired from the ground has a velocity v = 24.0 î – 8.00 ĵ m/s at a height of 9.10 m. Find: (a) the initial velocity; (b) the maximum height. 5) sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a centripetal acceleration of magnitude 3.80 m/s². What are (a) the track radius and (b) the period of the circular motion? 6) A centripetal-acceleration addict rides in uniform circular motion with radius r= 3.00 m. At one instant his acceleration is a =(6.00 m/s² )î+(-4.00 m/s² )j. At that instant, what are the values of (a) v.a and (b) r×a? 7) The figure below shows a conical pendulum. It consists of a bob is suspended at the end of a string and describes a horizontal circle at a constant speed of 1.28 m/s. If the length of the string is 1.20 m and it makes an angle of 20° with the vertical, find the acceleration of the bob. 8) A stone moves in a circle of radius 60.0 cm and has a centripetal acceleration of 90 m/s². How long does it take to make 8 revolutions?
Transcribed Image Text:Homework #5 1) A ball is thrown at 14.0 m/s at 45° above the horizontal. Someone located 30.0 m away along line of the path starts to run just as the ball is thrown. How fast, and in which direction, must the person run to catch the ball at the level from which it was thrown? 2) If a baseball player can throw a ball at 45° to a point 100 m away horizontally to the initial vertical level, how high could he throw it vertically upward? 3) A motorcyclist plans to jump across a gorge width 32.0 m. He takes off on a 18.0° ramp. What minimum speed does he require if he lands at the initial level? 4) A projectile fired from the ground has a velocity v = 24.0 î – 8.00 ĵ m/s at a height of 9.10 m. Find: (a) the initial velocity; (b) the maximum height. 5) sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a centripetal acceleration of magnitude 3.80 m/s². What are (a) the track radius and (b) the period of the circular motion? 6) A centripetal-acceleration addict rides in uniform circular motion with radius r= 3.00 m. At one instant his acceleration is a =(6.00 m/s² )î+(-4.00 m/s² )j. At that instant, what are the values of (a) v.a and (b) r×a? 7) The figure below shows a conical pendulum. It consists of a bob is suspended at the end of a string and describes a horizontal circle at a constant speed of 1.28 m/s. If the length of the string is 1.20 m and it makes an angle of 20° with the vertical, find the acceleration of the bob. 8) A stone moves in a circle of radius 60.0 cm and has a centripetal acceleration of 90 m/s². How long does it take to make 8 revolutions?
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