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You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 14.3 m/s at the top of the incline, which is 36.7 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government\'s safety regulations state that the riders\' centripetal acceleration should be no more than n = 1.77 g\'s at the top of the hump and no more than N = 5.29 g\'s at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance.
1. What is the minimum radius you can use for the semi-circular hump?
2. What is the minimum radius you can use for the vertical loop?
The coefficient of friction is 0.3. The Initial speed is 3 m/s. How far does it slide down along the path before it comes to rest
A converging lens with a focal length of 89.0cm forms an image of a 3.25cm -tall real object that is to the left of the lens. Where are the object and image located in relation to the lens
A guitar string is 90.0 cm long and has a mass of 3.23g. find the frequencies of the fundamental and first two overtones
Estimate the phase difference between the sounds received by your ears when you are facing 90° away from the direction of the source
On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snohomish River below. The swimmers stepped off the bridge, and I estimated that they hit the water 1 s later.
A goalkeeper kicks a ball of mass 400 g in the air, which reaches a position of height 15.9 m above the ground corresponding to a horizontal distance 19.7 m from its initial position. What is the total work done on the ball
A ball (m= .450 kg) is placed at the top of a ramp 1.00 m high. what is the ball's velocity at the bottom of the ramp
A 2.78-kg steel ball strikes a massive wall at 10.0 m/s at an angle of ? = 60.0° with the plane of the wall, what is the average force exerted by the wall on the ball
An inductor has a 53.6-? reactance when connected to a 60.0-Hz source. What is the maximum current in the inductor
Two cesium-133 atomic clocks differ by one second in 6000 years. Assume one of the clocks gains one second in six thousand years, approximately what is the change in the number of oscillations of the light each second?
Two .40 kg soccer balls collide elastically in a head on collision. The first l starts at rest and the second ball has a speed of 3.50 m/s after the collision, second ball is at rest. What is the final speed of the first ball.
A room has dimensions 2.98 m (height) × 4.59 m × 6.03 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. What is the magnitude of its displacement
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