One of the teams roller coaster has a circular loop of radius 12 cm. The ball en

ID: 1506631 • Letter: O

Question

One of the teams roller coaster has a circular loop of radius 12 cm. The ball enters the loop at a speed of 2.0 m/s and leaves at 1.8 m/s.

a) calculate average speed

b) calculate centripetal acceleration

c) calculate initial kinetic energy

d) calculate final kinetic energy

e) calculate change in kinetic energy

f) calculate change in potential energy, assuming no loss of energy (there is no friction)

g) calculate change in height, assuming no loss of energy

h) calculate loss of energy, assuming both sensors are at the same height (there is friction)

average speed = initial speed + final speed / 2

average speed = 2 + 1.8 / 2

average speed = 1.9 m/s

centripetal acceleration = v^2 / r

centripetal acceleration = 2^2 / 0.12

centripetal acceleration = 33.33 m/s^2

let the mass be m so

initial kinetic energy = 0.5 * mass * initial velocity^2

initial kinetic energy = 0.5 * m * 2^2

initial kinetic energy = 2m

final kinetic energy = 0.5 * mass * final velocity^2

final kinetic energy = 0.5 * m * 1.8^2

final kinetic energy = 1.62m

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