In an amusement park roller coaster ride, a car starts from rest at point A and races through a loop-to-loop. What is the minimum height h from which the car can start if it is not to leave the track at point B? The loop has radius R (R)
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- A particle starts moving in a circular path of radius R with the following speed v(t) = βeγt where β and γ are positive constants. Find the time for the particle to complete two full revolutions in the pathCan you please provide a complete solution set to this problem? A rollercoaster car is traveling on a track and approaching a loopped portion of track. What is the minimum speed needed at the bottom of the loop to clear the loop? The diameter is 15 meters.In a science experiment, a test object us launched by accelerating it along a 200-meter incline at 1.25 m/s^2 starting from rest at the bottom point of the incline (Point Q). The incline is measure 35° from the horizontal, and the instant the object leaves the incline, the gears were turned off. Ignoring air resistance. A. Compute the maximum height above the ground that the object reaches. B. What is the maximum range of the object beyond Point Q?
- A stunt rider on a motorcycle rides around a large, vertical loop with a radius of 19 m. How fast must he ride to avoid falling at the top of the loop?A particle moves in a circular path of radius r with speed v. It then increases its speed to 2v while travelling along the same circular path. The centripetal acceleration of the particle has changed by a factor of :-You're designing a highway so that the maximum centripetal acceleration on a curve is no more than 1.1 m/s2 . What is the minimum curvature radius to accommodate a 100 km/h maximum speed? Express your answer to two significant figures and include the appropriate units.
- A ball is thrown horizontally from the top of a building 22m high.the ball strikes the ground at a point 35 m horizontally away from and below the point of release.Air resistant is neglected from this problem.e.what is the speed of the ball just before it strikes the ground?Suppose we climb a mountain that is a cone with radius ro= 100 and height h = 4. We start at the bottom of the mountain (on the perimeter of the base of the cone), and our destination is the opposite side of the mountain, halfway up (height h= 2). Our climbing speed starts at V0 = 2 but gets slower at a rate inversely proportional to the distance to the mountain top (so at height z the speed is (h-z)vo/h). Find the minimum time needed to get to the destination.A particle moves in a circular path of radius r with speed v. It then increases its speed to 2v while traveling along the same circular path. The centripetal acceleration of the particle has changed by what factor? a)0.25 b) 0.5 c) 2 d)4 e) impossible to determine
- A roller coaster at the Six Flags Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each vertical loop, instead of being circular, is shaped like a teardrop (Fig. P5.22). The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure the cars remain on the track. The biggest loop is 40.0 in high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the care have the same speed, 13.0 m/s at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having teardrop-shaped loops.A ball is thrown with an intial speed 20 m/s at an angle of 60° above the ground. If air resistance negligible, what is the ball's speed at the instant it reaches its maximum height from the ground? Take g= 10m/s²A 28 kg spy drone is programmed to fly around at a constant height of 62 meters around a central point on the ground. It is capturing video footage of a building and sending it back to a secret location. The drone is flying in a circular path with a circumference of 601 m and an acceleration of 3.8 m/s2. What is the speed of the drone as if flies around in the circle?