A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position

Question

A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown

in Fig. 8-5. the vertical height at position A above ground level is 200 m. Neglect friction.

(a)What is the total energy of the roller coaster at point A?

(b) What is the total energy of the roller coaster at point B?

(c) What is the speed of the roller coaster at point B?

(d) What is the speed of the roller coaster at point C?

A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown in Fig. 8-5. the vertical height at position A above ground level is 200 m. Neglect friction. What is the total energy of the roller coaster at point A? What is the total energy of the roller coaster at point B? What is the speed of the roller coaster at point B? What is the speed of the roller coaster at point C?

Explanation / Answer

a) Ea = mgh + 0.5 * m * v^2

Ea= 80 * 9.81 * 200 + 0.5 * 80 * 20^2

Ea = 172.96 kJ

b) as there is no friction

Ea = Eb = 172.96 kJ

c) Eb = 0.5 * m * v ^2

172960 = 0.5 * 80 * v^2

v = 65.76 m/s

d) 172960 = 0.5 * 80 * v^2 + 80 * 9.81 *160

v = 34.42 m/s

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