Question

In a hydroelectricity production, water falls from a dam into a turbine wheel 49 m below. What is the velocity of water at the turbine?

A) 0 m/s
B) 15.5 m/s
C) 31 m/s
D) 46.5 m/s

Answer 1

C: 31 m/s

Explanation:

It falls from a dam.

Thus;

Initial velocity; u = 0 m/s

Height; h = 49 m

Acceleration due to gravity is 9.8 m/s²

To solve for the final velocity this, we will use Newton's third equation of motion;

v² = u² + 2gh

v² = 0² + 2(9.8 × 49)

v = √960.5

v ≈ 31 m/s