e previous | 3 of 8ned Loop the Loop Part A figure!) A roller-coaster car may be

Question

e previous | 3 of 8ned Loop the Loop Part A figure!) A roller-coaster car may be represented by a block of mass 50.0 kg. The car is released from rest at a Find the kinetic energy K of the car at the top of the loop. Express your answer numerically, in joules. erg ong a frictionless track. The car encounters a loop of radius R 200 m at ground level, as shown As you will learn in the course of this problem, the initial height 60.0 m is great enough so that the car never loses contact with the track. Hints K- 9800J Submit My Answers Give Up Correct Part B Find the minimum initial height hmin at which the car can be released that sill allows the car to stay in contact with the track at the top of the loop Express your answer numerically, in meters Hints Figure 1 of1 tn Si Submit My AnswerS Give Up icy Pe Incorrect; Try Again; 5 attempts remaining

Explanation / Answer

here,

b)

mass , m = 50 kg

radius , R = 20 m

let the minimum height be h0 and the speed at the top be v

using conservation of energy

m * g * (h0 - 2 R ) = 0.5 * m * v^2

9.81 * ( h0 - 40) * 2 = v^2 ....(1)

and

for the car not to loose contact at the top

centripital force = gravitational force

m * v^2 /R = m * g

v^2 /R = g ....(2)

from (1) and (2)

9.81 * ( h0 - 40) * 2 = 9.81 * 20

h0 = 50 m

the minimum height required is 50 m

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