Roberto is with some friends at a local bowling alley. Roberto has some inside information from the manager, over the first two-thirds of the lane, the coefficient of kinetic friction between the rental balls and the lane surface is 0.150 (near the pins, the coefficient will be larger). The rental balls come in a wide variety of weights; Roberto has selected a ball which weighs 63.0 N. The radius of a tenpin bowling ball is 10.80 cm. Note: bowling balls generally do NOT have a uniform mass distribution, you should not assume that Roberto's ball does have a uniform distribution of mass Roberto is a novice bowler and releases the ball with very little spin. He notices that, once the ball leaves his hand, it always begins its trip toward the pins by slipping (or sliding) along the surface of the lane; and, as it slides, the spin rate is gradually increasing. At some point along the lane, the spin rate exactly correlates with the speed of the ball and the ball begins to roll without slipping. Roberto notices that, for his throws, rolling without slipping always begins at about the same location along the lane. Stepping off the distance, he finds that the distance from his release point to the "rolling-without-slipping" point is about 5.163 m (the distance from the foul line to the head pin is 18.29 m). Eager to estimate his release speed, he asks his friend Sharon to measure the time between release and rolling-without-slipping. Sharon takes measurements of the time interval for several of Roberto's throws, and arrives at an average of 1.047 seconds. At this particular bowling alley, the pins are due West of the bowlers. Roberto Learns to Release the Ball with Topspin As Roberto gains experience, he manages to increase his release speed; he also finds that he gets better results by releasing the ball with a little topspin, also known as forward spin (expert bowlers release the ball with a high rate of side spin so that, in the region where the ball finally starts rolling without slipping, the ball experiences a large "hook" towards the "pocket"). He finds that the distance to the rolling-without-slipping point is reduced to 3.863 m. When Sharon remeasures the time interval during which the ball is lipping along the lane surface, she finds that the time interval is now 0.648 seconds. Answer the following questions for Roberto's new and improved method of release. - Part E What is the speed at which Roberto releases the bowling ball with his new release?

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18th Edition
ISBN:9781938168277
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Chapter6: Applications Of Newton's Laws
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Roberto is with some friends at a local bowling alley. Roberto has some inside information from the manager; over the first two-thirds of the lane, the coefficient of kinetic friction between the rental balls and the lane surface is 0.150 (near the pins, the coefficient will be
larger). The rental balls come in a wide variety of weights; Roberto has selected a ball which weighs 63.0 N. The radius of a tenpin bowling ball is 10.80 cm. Note: bowling balls generally do NOT have a uniform mass distribution; you should not assume that
Roberto's ball does have a uniform distribution of mass.
Roberto is a novice bowler and releases the ball with very little spin. He notices that, once the ball leaves his hand, it always begins its trip toward the pins by slipping (or sliding) along the surface of the lane; and, as it slides, the spin rate is gradually increasing. At
some point along the lane, the spin rate exactly correlates with the speed of the ball and the ball begins to roll without slipping. Roberto notices that, for his throws, rolling without slipping always begins at about the same location along the lane. Stepping off the
distance, he finds that the distance from his release point to the "rolling-without-slipping" point is about 5.163 m (the distance from the foul line to the head pin is 18.29 m). Eager to estimate his release speed, he asks his friend Sharon to measure the time between
release and rolling-without-slipping. Sharon takes measurements of the time interval for several of Roberto's throws, and arrives at an average of 1.047 seconds. At this particular bowling alley, the pins are due West of the bowlers.
Roberto Learns to Release the Ball with Topspin
As Roberto gains experience, he manages to increase his release speed; he also finds that he gets better results by releasing the ball with a little topspin, also known as forward spin (expert bowlers release the ball with a high rate of side spin so that, in the region
where the ball finally starts rolling without slipping, the ball experiences a large "hook" towards the "pocket"). He finds that the distance to the rolling-without-slipping point is reduced to 3.863 m. When Sharon remeasures the time interval during which the ball is
slipping along the lane surface, she finds that the time interval is now 0.648 seconds. Answer the following questions for Roberto's new and improved method of release.
Part E
What is the speed at which Roberto releases the bowling ball with his new release?
▸ View Available Hint(s)
5.7
—| ΑΣΦ
Submit
Previous Answers
?
X Incorrect; Try Again; 9 attempts remaining
m/s
Transcribed Image Text:Roberto is with some friends at a local bowling alley. Roberto has some inside information from the manager; over the first two-thirds of the lane, the coefficient of kinetic friction between the rental balls and the lane surface is 0.150 (near the pins, the coefficient will be larger). The rental balls come in a wide variety of weights; Roberto has selected a ball which weighs 63.0 N. The radius of a tenpin bowling ball is 10.80 cm. Note: bowling balls generally do NOT have a uniform mass distribution; you should not assume that Roberto's ball does have a uniform distribution of mass. Roberto is a novice bowler and releases the ball with very little spin. He notices that, once the ball leaves his hand, it always begins its trip toward the pins by slipping (or sliding) along the surface of the lane; and, as it slides, the spin rate is gradually increasing. At some point along the lane, the spin rate exactly correlates with the speed of the ball and the ball begins to roll without slipping. Roberto notices that, for his throws, rolling without slipping always begins at about the same location along the lane. Stepping off the distance, he finds that the distance from his release point to the "rolling-without-slipping" point is about 5.163 m (the distance from the foul line to the head pin is 18.29 m). Eager to estimate his release speed, he asks his friend Sharon to measure the time between release and rolling-without-slipping. Sharon takes measurements of the time interval for several of Roberto's throws, and arrives at an average of 1.047 seconds. At this particular bowling alley, the pins are due West of the bowlers. Roberto Learns to Release the Ball with Topspin As Roberto gains experience, he manages to increase his release speed; he also finds that he gets better results by releasing the ball with a little topspin, also known as forward spin (expert bowlers release the ball with a high rate of side spin so that, in the region where the ball finally starts rolling without slipping, the ball experiences a large "hook" towards the "pocket"). He finds that the distance to the rolling-without-slipping point is reduced to 3.863 m. When Sharon remeasures the time interval during which the ball is slipping along the lane surface, she finds that the time interval is now 0.648 seconds. Answer the following questions for Roberto's new and improved method of release. Part E What is the speed at which Roberto releases the bowling ball with his new release? ▸ View Available Hint(s) 5.7 —| ΑΣΦ Submit Previous Answers ? X Incorrect; Try Again; 9 attempts remaining m/s
Part F
With what rate of topspin (or forward spin) is Roberto releasing the ball?
► View Available Hint(s)
17| ΑΣΦ
?
rad/s
Transcribed Image Text:Part F With what rate of topspin (or forward spin) is Roberto releasing the ball? ► View Available Hint(s) 17| ΑΣΦ ? rad/s
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