Question

The 800 kg roller coaster starts from rest at point W, which is 20 meters high. If 50,000 J of energy are "lost" to heat, how fast will the roller coaster be traveling at point X?

Answer 1

11.18 m/s.

Step-by-step explanation:

From the question given above, the following data were obtained:

Mass (m) = 800 kg

Height (h) = 20 m

Energy (E) = 50000 J

Velocity (v) =?

The velocity of the roller coaster can be obtained as follow:

E = ½mv²

50000 = ½ × 800 × v²

50000 = 400 × v²

Divide both side by 400

v² = 50000 / 400

v² = 125

v = √125

v = 11.18 m/s

Therefore, the velocity of the roller coaster is 11.18 m/s.