given :
m = 120 kg
speed at B = v = 25 m/s
speed at A = u = 0
height of B from ground = h = 5 + 12 + 12 = 29 m
Let height of A from ground be H.
Applying conseration of mechanical energy between A and B :
potential energy at A + kinetic energy at A = Potential energy at B + kinetic energy at B
[answer]
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car...
You are designing a new roller-coaster. The main feature of this particular design is to be a vertical circular loop-the-loop where riders will feel like they are being squished into their seats even when they are in fact upside-down (at the top of the loop). The coaster start at rest a height of 80m above the ground, speeds up as it descends to ground level, and then enters the loop which has a radius of 20m. Suppose a rider is...
7.4 (P 7.41) 7.41 . A 350-kg roller coaster car starts from rest at point A and slides down a frictionless loop-the-loop (Fig. P7.41). (a) How fast is this roller coaster car moving at point B? (b) How hard does it press against the track at point B? Figure P7.41 14.00 m 25.0 m 12.0 m 3.00 m
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 16.1 m/s at the top of the incline, which is 37.1 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 1.69 g at the top of the hump and no...
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 14.9 m/s at the top of the incline, which is 38.3 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 1.57 g at the top of the hump and no...
1. A roller coaster has a 300 kg car. Assume the track is frictionless. a) The car starts at a speed 20 m/s on a horizontal track. It then goes through a circular loop. What is the speed of the car when it is at the top of the loop, h = 10 m above the horizontal track? b) What is the normal force applied from the track at the point? Does this force point upward or downward? Assume the...
A 120 kg roller coaster starts from rest at point A and slides down the frictionless loop-the-loop shown in the accompanying figure. a) How fast is this roller coaster moving at point B? b) Calculate the normal force exerted on the car at point B B 24.00 m 25.0 m 12.0 m 3.00 m Upload your answer/solution once you finish each given problem.
A roller coaster car of mass 800 kg when released from rest at point A (height h above the ground) slides along the track and inside the loop of radius 16.0 m. The car never loses contact with the track. A) Draw below a free body diagram for the car the car at the top of the loop. B) If the normal force acting on the car at the top is 1500 N, what is the speed of the car...
A huge spring launched a cart with passengers into a roller-coaster with a circular loop, which has a radius of 8.00 meters. The whole roller-coaster is frictionless. At the top of a circular loop, the cart is moving with a speed of 10.0 m/s. The total mass of the cart with the passengers is 450 kg. a. [5] With that speed, does the cart stay in contact with the roller-coaster at the top of the loop? b. [2] At the...
A roller coaster car of mass 800 kg when released from rest at point A (height h above the ground) slides along the track and inside the loop of radius 16.0 m. The car never loses contact with the track. A) Draw below a free body diagram for the car the car at the top of the loop. B) If the normal force acting on the car at the top is 1500 N, what is the speed of the car...
Loop the Loop Figure 1)A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is released at a height h above the ground and slides along a frictionless track. The car encounters a loop of radius R as shown. Assume that the initial height h is great enough so that the car never loses contact with the track. Figure 1 of 1 위부