A bucket of water is traveling in a 1.5 m vertical circle. Determine the minimum speed the bucket must have so that the water does not fall out.
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A bucket of water is traveling in a 1.5 m vertical circle. Determine the minimum speed the bucket must have so that the water does not fall out.
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- A roller coaster has a circular loop with a diameter (height) of 39 meters. When the coaster is upside down at the top of the loop, what is the minimum speed it must be traveling so that the passengers do not fall out?A 55.8kg ice skater is moving at 4.03 m/s when she grabs the loose end of rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.797 m around the pole . A.)Determine the force exerted by the horizontal rope on her arms. B.) what is the ratio of this force to her weightAt a circus, a stunt rider is going to do a "Loop-de-Loop". The radius of the circular part of the track is 8.13 m. The mass of the motorcycle and the rider is 318. kg. What is the minimum speed the motorcycle must have to just make it around the loop without falling?
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- The accompanying figure shows a frictionless channel in the shape of a segment of a circle with center at "O". The channel has been anchored to a frictionless horizontal tabletop. You are looking down at the table. Forces exerted by the air are negligible. A ball is shot at high speed into the channel at "p" and exits at "r." Consider the following distinct forces: A downward force of gravity. A force exerted by the channel pointing from q to O. A force in the direction of motion. A force pointing from O to q. Which of the above forces is (are) acting on the ball when it is within the frictionless channel at position "q"?An airplane is flying in a horizontal circle at a speed of 441 km/h. If its wings are tilted 40° to the horizontal, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an "aerodynamic lift" that is perpendicular to the wing surface. m I 0An approximately spherical exoplanet in a faraway galaxy happens to have a mass that is only (3/5) times our Earth’s mass. Curiously enough, any object abandoned near its surface will fall with the same vertical acceleration as it would on our Earth (that is, the exoplanet's g is equal to our terrestrial g). (a) What must be the average radius of such an exoplanet for this strange coincidence to be true? (b) If you weighed 650 N on the Earth, how much would you weigh on this exoplanet? 1