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62. Two ice skaters, with masses of 50 kg and 75 kg, are at the INT center of a 60-m-diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in 20 s, how long does the lighter skater take to reach the edge? THE

62. Two ice skaters, with masses of 50 kg and 75 kg, are at the INT center of a 60-m-diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in 20 s, how long does the lighter skater take to reach the edge? THE

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 37P: The figure below shows a bullet of mass 200 g traveling horizontally towards the east with speed 400...
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Question #62
for a period of many months. Suppose an asteroid with a diam- eter of 2.0 km and a mass of 1.0 × 10¹3 kg hits the earth with an impact speed of 4.0 x 10 m/s. a. What is the earth's recoil speed after such a collision? (Use a reference frame in which the earth was initially at rest.) b. What percentage is this of the earth's speed around the sun? (Use the astronomical data inside the back cover.) 61. III Two ice skaters, with masses of 75 kg and 55 kg, stand fac- INT ing each other on a 15-m-wide frozen river. The skaters push off against each other, glide backward straight toward the riv- er's edges, and reach the edges at exactly the same time. How far did the 75 kg skater glide? 62. || Two ice skaters, with masses of 50 kg and 75 kg, are at the INT center of a 60-m-diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in 20 s, how long does the lighter skater take to reach the edge? 63. Il One billiard ball is shot east at 2.00 m/s. A second, identical billiard ball is shot west at 1.00 m/s. The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90° and sending it north at 1.41 m/s. What are the speed and direction of the first ball after the collision? 64. III A 10 g bullet is fired into a 10 kg wood block that is at INT rest on a wood table. The block, with the bullet embedded. slides 5.0 cm across the table. What was the speed of the bullet? 65. II A typical raindrop is much more massive than a mosquito and BIO much faster than a mosquito flies. How does a mosquito survive the impact? Recent research has found that the collision of a fall- ing raindrop with a mosquito is a perfectly inelastic collision. That is, the mosquito is "swept up" by the raindrop and ends up traveling along with the raindrop. Once the relative speed between the mosquito and the raindrop is zero, the mosquito is able to detach itself from the drop and fly away. a. A hovering mosquito is hit by a raindrop that is 40 times as massive and falling at 8.2 m/s, a typical raindrop speed. How fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic? b. Because raindron is "soft" and deformable, the collision 69. 11 t P t 1 70. e 0 1 P S a tu 0 V 1. b. 71.11 of in 5.0 2.0 ue of 72. 11 2.0 and ince is th spec 73. Fi The
Transcribed Image Text:for a period of many months. Suppose an asteroid with a diam- eter of 2.0 km and a mass of 1.0 × 10¹3 kg hits the earth with an impact speed of 4.0 x 10 m/s. a. What is the earth's recoil speed after such a collision? (Use a reference frame in which the earth was initially at rest.) b. What percentage is this of the earth's speed around the sun? (Use the astronomical data inside the back cover.) 61. III Two ice skaters, with masses of 75 kg and 55 kg, stand fac- INT ing each other on a 15-m-wide frozen river. The skaters push off against each other, glide backward straight toward the riv- er's edges, and reach the edges at exactly the same time. How far did the 75 kg skater glide? 62. || Two ice skaters, with masses of 50 kg and 75 kg, are at the INT center of a 60-m-diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. If the heavier skater reaches the edge in 20 s, how long does the lighter skater take to reach the edge? 63. Il One billiard ball is shot east at 2.00 m/s. A second, identical billiard ball is shot west at 1.00 m/s. The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90° and sending it north at 1.41 m/s. What are the speed and direction of the first ball after the collision? 64. III A 10 g bullet is fired into a 10 kg wood block that is at INT rest on a wood table. The block, with the bullet embedded. slides 5.0 cm across the table. What was the speed of the bullet? 65. II A typical raindrop is much more massive than a mosquito and BIO much faster than a mosquito flies. How does a mosquito survive the impact? Recent research has found that the collision of a fall- ing raindrop with a mosquito is a perfectly inelastic collision. That is, the mosquito is "swept up" by the raindrop and ends up traveling along with the raindrop. Once the relative speed between the mosquito and the raindrop is zero, the mosquito is able to detach itself from the drop and fly away. a. A hovering mosquito is hit by a raindrop that is 40 times as massive and falling at 8.2 m/s, a typical raindrop speed. How fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic? b. Because raindron is "soft" and deformable, the collision 69. 11 t P t 1 70. e 0 1 P S a tu 0 V 1. b. 71.11 of in 5.0 2.0 ue of 72. 11 2.0 and ince is th spec 73. Fi The
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