Answered

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A roller coaster glides from rest from the top of an 80.0 meter hill. What is the speed of the roller coaster at the bottom of the hill?

6.32 m/s
39.6 m/s
12.6 m/s
19.8 m/s

Sagot :

Lanuel

Based on the calculations, the speed of this roller coaster at the bottom of the hill is equal to: B. 39.6 m/s.

Given the following data:

Height = 80.0 meters.

Scientific data:

Acceleration due to gravity (g) = 9.8 m/s².

How to calculate the speed?

In accordance with the law of conservation of energy, the potential energy possessed by the roller coaster at the top is equal to the kinetic energy possessed by the roller coaster at the bottom of the hill:

PE = KE

mgh = ½mv²

2mgh = mv²

v = √(2gh)

Substituting the given parameters into the formula, we have;

v = √(2 × 9.8 × 80)

v = √1,568

Speed, v = 39.6 m/s.

Read more on potential energy here: https://brainly.com/question/1242059

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