A 3 kg basketball is dropped from the top of a 120 m building. If all of the energy is converted...

Question:

A 3 kg basketball is dropped from the top of a 120 m building. If all of the energy is converted into KE, what is the velocity of the ball just before it hits the ground?

Conservation of Energy

Conservation of energy states that energy cannot be created either destroyed. It only transformed from one form of energy to another. A good example is a relationship between potential energy and kinetic energy.

Answer and Explanation:

Given:

{eq}m = 3 \text{kg}\\ h = 120 \text{m}\\ {/eq}

Using the conservation of energy, we can solve for the velocity of the ball

{eq}PE = KE\\ \Rightarrow mgh = \frac{1}{2}mv^2\\ \Rightarrow v = \sqrt{2gh} = \sqrt{2(9.8 \text{m}/\text{s}^2)(120 \text{m})} = \boxed{48.5 \text{m}/\text{s}} {/eq}


Learn more about this topic:

Loading...
Energy Conservation and Energy Efficiency: Examples and Differences

from Geography 101: Human & Cultural Geography

Chapter 13 / Lesson 9
103K

Related to this Question

Explore our homework questions and answers library