Final answer:
Enzo's speed at the bottom of a 10 m tall frictionless slide can be calculated using the conservation of energy, resulting in a final speed of approximately 14 m/s.
Step-by-step explanation:
The student's question is about calculating Enzo's speed at the bottom of a 10 m tall frictionless slide. In physics, we use the principle of conservation of energy to solve this problem, where the potential energy at the top of the slide is converted entirely into kinetic energy at the bottom due to the absence of friction.
At the top, Enzo has potential energy given by PE = mgh, where m is the mass of Enzo, g is the acceleration due to gravity, and h is the height of the slide. At the bottom, all this energy is converted into kinetic energy, KE = 1/2 mv², where v is Enzo's speed. Setting these two energies equal and solving for v, we get v = √(2gh). Using g = 9.8 m/s² for the acceleration due to gravity, Enzo's speed at the bottom of the slide is √(2*9.8*10) m/s.
To find the exact numerical value, calculate v = √(2*9.8*10) m/s. Therefore, the final speed of Enzo when he reaches the bottom of the slide is approximately 14 m/s.