A superhero swings a magic hammer over her head in a horizontal plane. The end of...
A superhero swings a magic hammer over her head in a horizontal plane. The end of the hammer moves around a circular path of radius 1.50 m at an angular speed of 6.00 rad/s. As the superhero swings the hammer, she then ascends vertically at a constant 2.00 m/s.
What is the speed of the end of the hammer relative to the ground?
What is the magnitude of acceleration of the end of the hammer?
What is the direction of acceleration of the end of the hammer measured as an angle between a⃗ and the direction toward the center of the circular path?
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A superhero swings a magic hammer over her head in a horizontal
plane. The end of...
Consider a ball of mass 0.110 kg being spun in a horizontal circle of radius r-0.50...
Consider a ball of mass 0.110 kg being spun in a horizontal circle of radius r-0.50 m, as shown to the right. When the ball reaches an angular velocity (o) of 2.00 rad/s, it is given a constant angular acceleration of a- 2.00 rads. You can assume that the radius of the circular path followed by the ball remains constant during this acceleration. After precisely 3.00 seconds of this angular acceleration, the ball breaks off the string (a) In what...
An athlete swings a 3.70 kg ball horizontally on the end of a rope. The ball...
An athlete swings a 3.70 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.970 m at an angular speed of 0.740 rev/s. (a) What is the tangential speed of the ball? m/s (b) What is its centripetal acceleration? m/s2 (c) If the maximum tension the rope can withstand before breaking is 115 N, what is the maximum tangential speed the ball can have? m/s
A racing car travels on a circular track with a radius of 200 m. If the...
A racing car travels on a circular track with a radius of 200 m. If the car moves with a constant linear speed of 51.0 m/s, find (a) its angular speed and (b) the magnitude and directions of its acceleration. (a) 0.255 rad/s; (b) 51.0 m/s2 in the direction of tangential velocity (a) 0.255 rad/s; (b) 13.0 m/s2 in the direction of tangential velocity (a) 7.25 rad/s; (b) 13.0 m/s2 in the direction of tangential velocity (a) 0.255 rad/s; (b)...
A racing car travels on a circular track with a radius of 225 m. If the...
A racing car travels on a circular track with a radius of 225 m. If the car moves with a constant linear speed of 47.0 m/s, find (a) its angular speed and (b) the magnitude and directions of its acceleration. O(a) 0.209 rad/s; (b) 9.82 m/s2 in the direction of tangential velocity i O(a) 0.709 rad/s; (b) 47.0 m/s2 in the direction of tangential velocity • (a) 0.209 rad/s; (b) 9.82 m/s2 toward the center of the track O(a) 4.79...
Suppose you are driving a car in a counterclockwise direction on a circular road whose radius...
Suppose you are driving a car in a counterclockwise direction on a circular road whose radius is r 28 m/s (about 63 mi/h) 385 m (see the figure). You look at the speedometer and it reads a steady T(decreasing) (a) Constant angular speed (b) Decreasing angular speed Concepts (i) Does an object traveling at a constant tangential speed (for example, vT= 28 m/s) along a circular path have an acceleration? Yes No (ii) Is there a tangential acceleration aT when...
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A science student is riding on a flatcar of a train traveling along a stralght horizontal track at a constant speed of 12.0 m/s. The student throws a ball into the alr along a path that he judges to make an initial angle of 50.0 with the horizontal and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise vertically. How high does she see the ball rise?...
An athlete swings a ball, connected to the end of a chain, in a horizontal circle....
An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 8.66 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 5.93 rev/s. (a) Which rate of rotation gives the greater speed for the ball? 5.93 rev/s (b) What is the centripetal acceleration of the ball...
An athlete swings a ball, connected to the end of a chain, in a horizontal circle....
An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 7.89 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.10 rev/s. (a) Which rate of rotation gives the greater speed for the ball? 6.10 rev/s 7.89 rev/s (b) What is the centripetal acceleration of...
An athlete swings a ball, connected to the end of a chain, in a horizontal circle....
An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 8.66 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.22 rev/s (a) Which rate of rotation gives the greater speed for the ball? 6.22 rev/s 8.66 rev/s (b) What is the centripetal acceleration of...
Consider a ball of mass 0.110 kg being spun in a horizontal circle of radius r-0.50 m, as shown to the right. When the ball reaches an angular velocity (o) of 2.00 rad/s, it is given a constant angular acceleration of a- 2.00 rads. You can assume that the radius of the circular path followed by the ball remains constant during this acceleration. After precisely 3.00 seconds of this angular acceleration, the ball breaks off the string (a) In what...
A racing car travels on a circular track with a radius of 200 m. If the car moves with a constant linear speed of 51.0 m/s, find (a) its angular speed and (b) the magnitude and directions of its acceleration. (a) 0.255 rad/s; (b) 51.0 m/s2 in the direction of tangential velocity (a) 0.255 rad/s; (b) 13.0 m/s2 in the direction of tangential velocity (a) 7.25 rad/s; (b) 13.0 m/s2 in the direction of tangential velocity (a) 0.255 rad/s; (b)...
A racing car travels on a circular track with a radius of 225 m. If the car moves with a constant linear speed of 47.0 m/s, find (a) its angular speed and (b) the magnitude and directions of its acceleration. O(a) 0.209 rad/s; (b) 9.82 m/s2 in the direction of tangential velocity i O(a) 0.709 rad/s; (b) 47.0 m/s2 in the direction of tangential velocity • (a) 0.209 rad/s; (b) 9.82 m/s2 toward the center of the track O(a) 4.79...
Suppose you are driving a car in a counterclockwise direction on a circular road whose radius is r 28 m/s (about 63 mi/h) 385 m (see the figure). You look at the speedometer and it reads a steady T(decreasing) (a) Constant angular speed (b) Decreasing angular speed Concepts (i) Does an object traveling at a constant tangential speed (for example, vT= 28 m/s) along a circular path have an acceleration? Yes No (ii) Is there a tangential acceleration aT when...
A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its total acceleration is (-22.5120.2j) m/s2 For that instant, do the following. (a) Sketch a vector diagram showing the components of its acceleration. (Do this on paper. Your instructor may ask you to turn in the sketch.) (b) Determine the magnitude of its radial acceleration m/s2 (c) Determine the speed of...
A science student is riding on a flatcar of a train traveling along a stralght horizontal track at a constant speed of 12.0 m/s. The student throws a ball into the alr along a path that he judges to make an initial angle of 50.0 with the horizontal and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise vertically. How high does she see the ball rise?...
An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 8.66 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.22 rev/s (a) Which rate of rotation gives the greater speed for the ball? 6.22 rev/s 8.66 rev/s (b) What is the centripetal acceleration of...
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