A) A 2,391-kilogram roller coaster car starts at point A almost at rest. It runs

Question

A) A 2,391-kilogram roller coaster car starts at point A almost at rest. It runs downhill into a valley. At its bottom, the valey can be described by a circle with radius 8 m.

Find the height required at point A, such that the normal force acting on the car in point B is 212% of the weight.

B)A 1,510-kilogram roller coaster car starts at point A almost at rest. It first runs downhill and then is approaching a hill. At its top, the hill can be described by a circle with radius 6 m.

Find the height required at point A, such that the normal force acting on the car in point B is 42% of the weight.

Explanation / Answer

This means that the Normal force has to be 2.12 times that of the weight and the normal force causes the circular motion hence

mv^2/R = 2.12 mg

v^2 = 2.12gR

and by energy balance , the KE will be coming from PE from height h

1/2 mv^2 = mgh

hence

2gh = 2.12 g R

h = 2.12 R/2 = 8.48 m

Part B will be similar , if you want complete solution please repost that part only

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.