Determine the required height h of the roller coaster so that when it is essentially at rest at the crest of the hill A it will reach a speed of 25 m/s when it comes to the bottom B.

The roller coaster car has a mass of 700 kg, including its passenger. If it starts from the top of the hill A with a speed v A = 3 m/s, determine the minimum height h of the hill crest so that the car travels around the inside loops without leaving the track. Neglect friction, the mass of the wheels, and the size of the car. What is the normal reaction on the car when the car is at B1. find the  Max g-force on passenger, bank angle2. the force required to slow down the motion and the time the force is applied must be determined to bring the coaster to rest.3. The maximum G-load  experienced by a person should be no more than 5 g

The motor, M, pulls on the cable with a force F = (101² + 300)N, where t is in seconds. If the 100 kg crate is originally at rest at 1 = 0, determine its speed when t = 4 s. Hint: First find the time needed to begin lifting the crate.

The small body has a speed va = 4.0 m/s at point A. Neglecting friction, determine its speed at point B after it has risen 0.68 m. Is knowledge of the shape of the track necessary? 0.68 m 4.0 m/s B Answer: VB = i m/s