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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- The drawing shows a version of the loop-the-loop trick for a small car. The radius of the loop r = 0.46 m. What is minimum initial speed (v) that the car needs to have in order to remain in contact with the circular track at all times? m/sA 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 P7.15A cyclist goes round a circular track, of radius 10 m, at a constant speed of 8.0 m s-1.What is the acceleration of the cyclist and what is its direction?
- A rocket accelerates at 25m/s2 from rest on a frictionless inclined surface. The inclined ramp has a height of 70m and makes a 32 degrees angle above the ground. The rocket stops accelerating at the instant it leaves the incline. If air resistance is negligible, what is the horizontal distance 'R' from the end of the ramp to the point of impact (where it hits the ground)? a) Draw a diagram of this situation and be sure to include the distance 'R' b) Calculate the distance 'R' from the end of the ramp to the point of impact. 1.Draw the clear diagram 2. Give the indicating distance 'R' 3. Show your work 4. Find vertical and horizontal components of velocity when rocket leaves ramp 5. Find distance 'R'Bart Jumps Springfield Gorge on his skateboard. Springfield Gorge us 50m wide, and Bart has constructed a 1.0 m Hugh ramp inclined at 30° to the horizontal. Air resistance is neglected. Homer had calculated that he can jump the gorge if the ramp is inclined to 45°, and he attains a speed of 20m/s. Will Homer make it? If not, how far short of the other side is he when he drops below the level of the ground?A car is traveling along a straight highway with a speed of 72 kph (20 m/s) when the driver suddenly applies the brakes just before entering the curved section A-B, REDUCING its speed at a constant rate until it reaches point B. The 90-m long curved section A-B has a constant radius of curvature r. An accelerometer mounted on the car recorded a total acceleration of 1.74m/s² just before the car passes point B. B. I 06 1. Which of the following is FALSE regarding the car's motion along the curved section A-B? Its velocity is decreasing and is tangent to its path. Its tangential acceleration is tangent to its path. Its acceleration is increasing in magnitude. Its normal acceleration is directed towards the center of curvature of the path.
- A Ferris wheel with a radius of 8.0m makes 1 revolution every 10 s. When he is at the top, essentially a diameter above the ground, he releases a ball. How far from the point on the ground directly under the release point does the ball land? (A) 8.0 m B) 9.1 m 1.0 m D) 16 mDuring their field trip to the amusement park, Eli and Frank took a rider on the Whirligig. The Whirligig ride consists of long swings which spin in a circle at relatively high speeds. They estimate that the riders travel through a circle with a radius of 6.5 m and make one turn every 5.8 seconds. Determine the speed of the riders on the Whirligig.A motorcycle moves on a circular path of radius b. The motorcycle starts from rest and its speed increases at a constant rate c. Use polar coordinates to find the angle between its velocity and acceleration vectors. Is the angle constant?
- The particle on the circular path has a speed VA = 5 m/s at point A, which is increasing at a constant rate of 1.5 m/s2. What is its speed at point B? B AVA = 5 m/s A 2.5 m 6.06 m/s = 3.64 m/s VB = 8.49 m/s O. VB 6.97 m/s VB = O UB=AsapA 2.3 kg brick slides down a smooth rubble chute with a profile of parabola: y = 1.75 + x², so that when it is at A it has a speed of 1.5 m/s. Determine: a) The speed of the brick just before it leaves the surface at B. b) The distance d measured on the ground and to the left from just below the mouth of the slide, at B, and to the point where the brick will hit the ground