Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 4, Problem 21P
The athlete shown in Figure P4.21 rotates a 1.00-kg discus along a circular path of radius 1.06 m. The maximum speed of the discus is 20.0 m/s. Determine the magnitude of the maximum radial acceleration of the discus.
Figure P4.21
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Figure P4.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. At this instant, find
(a) the radial acceleration,
(b) the speed of particle, and
(c) its tangential acceleration
centripetal acceleration at 6.00 rev/s?
21 The athlete shown in Fig-
ure P4.21 rotates a 1.00-kg
discus along a circular
path of radius 1.06 m.
The maximum speed of
the discus is 20.0 m/s.
Determine the magnitude
of the maximum radial
acceleration of the discus.
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You built a pinball machine that has a banked circular track with radius 0.34 m. The
ball shooter launches the ball directly into this circular track before the ball enters
into the game. You fire pin balls at a constant speed into the track and adjust the
banking angle until it works. The banking angle is 21 degrees. Assume your pin ball
machine is on a horizontal plane, how fast is the ball launched into the track, in m/s?
Hint: I have a video on this problem about swing pendulum but the results are very
similar, except a string length was given instead of path radius and tension was
present instead of normal force. Assume friction is negligible.
Chapter 4 Solutions
Physics for Scientists and Engineers
Ch. 4.1 - Consider the following controls in an automobile...Ch. 4.3 - (i) As a projectile thrown at an upward angle...Ch. 4.3 - Rank the launch angles for the five paths in...Ch. 4.4 - A particle moves in a circular path of radius r...Ch. 4.5 - A particle moves along a path, and its speed...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - Review. A snowmobile is originally at the point...
Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - A rock is thrown upward from level ground in such...Ch. 4 - A firefighter, a distance d from a burning...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - The record distance in the sport of throwing...Ch. 4 - A home run is hit in such a way that the baseball...Ch. 4 - A projectile is fired from the top of a cliff of...Ch. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - A bolt drops from the ceiling of a moving train...Ch. 4 - The pilot of an airplane notes that the compass...Ch. 4 - You are taking flying lessons from an experienced...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - A science student is riding on a flatcar of a...Ch. 4 - A river has a steady speed of 0.500 m/s. A student...Ch. 4 - A river flows with a steady speed v. A student...Ch. 4 - You are participating in a summer internship with...Ch. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - Why is the following situation impassible? A...Ch. 4 - A particle starts from the origin with velocity...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - An astronaut on the surface of the Moon fires a...Ch. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - Do not hurt yourself; do not strike your hand...Ch. 4 - You are on the Pirates of the Caribbean attraction...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - A fireworks rocket explodes at height h, the peak...
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- The athlete shown in Figure P4.21 rotates a 1.00-kg discus along a circular path of radius 1.06 m. The maximum speed of the discus is 20.0 m/s. Determine the magnitude of the maximum radial acceleration of the discus. Figure P4.21arrow_forwardFigure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.arrow_forwardA car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15arrow_forward
- The Vomit Comet. In microgravity astronaut training and equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in Figure P3.45, the aircraft climbs from 24 000 ft to 31 000 ft, where it enters a parabolic path with a velocity of 143 m/s nose high at 45.0 and exits with velocity 143 m/s at 45.0 nose low. During this portion of the flight, the aircraft and objects inside its padded cabin are in free fall; astronauts and equipment float freely as if there were no gravity. What are the aircrafts (a) speed and (b) altitude at the top of the maneuver? (c) What is the time interval spent in microgravity?arrow_forwardThe Vomit Comet. In microgravity astronaut training and equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in Figure P4.59, the aircraft climbs from 24 000 ft to 31 000 ft, where it enters a parabolic path with a velocity of 143 m/s nose high at 45.0 and exits with velocity 143 m/s at 45.0 nose low. During this portion of the flight, the aircraft and objects inside its padded cabin are in free fall; astronauts and equipment float freely as if there were no gravity. What are the aircrafts (a) speed and (b) altitude at the top of the maneuver? (c) What is the time interval spent in microgravity?arrow_forwardA car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P6.3. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) What is the acceleration when the car is at B located at an angle of 35.0? Express your answer in terms of the unit vectors i and j. Determine (b) the cars average speed and (c) its average acceleration during the 36.0-s interval. Figure P6.3arrow_forward
- A 0.3-m-radius automobile tire accelerates from rest at a constant 1.9 rad/s2. What is the centripetal acceleration of a point on the outer edge of the tire after 5.5 s?arrow_forwardA ball rolls horizontally off the top of a stairway with a speed of 1.60 m/s. The steps are 18.6 cm high and 18.6 cm wide. Which step does the ball hit first? Let 1 = first step, 2 = second step, 3 = third step, etc. Give the number of the correct step. iarrow_forwardch3qrt #4, An vinyl record makes 45.0 revolutions per minute (RPM) as it spins on a turntable. It has a diameter of 17.8 cm. A fly lands on the outer edge while it is playing and rides the record. What is the centripetal acceleration of the fly?#5 For safety reasons, a circular ride at an amusement park is limited to a centripetal acceleration of 0.500g. If the car farthest from the centre is 8.25 m from the centre, what is the period of rotation of the ride?#6 The top of a hill on a roller coaster has a circular shape with a radius of 25.0 m. A car going over the top makes the passengers feel weightless at the very top. How fast is the car going?arrow_forward
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