College

We appreciate your visit to A catapult flings a stone at tex 16 text m s tex giving it tex 1792 text J tex of kinetic energy What is the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A catapult flings a stone at [tex]$16 \, \text{m/s}$[/tex], giving it [tex]$1792 \, \text{J}$[/tex] of kinetic energy. What is the mass of the stone?

A. 14 kg
B. 112 kg
C. 224 kg
D. 896 kg

Answer :

To find the mass of the stone, we can use the formula for kinetic energy:

[tex]\[
\text{Kinetic Energy (KE)} = \frac{1}{2} \times \text{mass} \times \text{velocity}^2
\][/tex]

We are given:
- [tex]\(\text{Kinetic Energy (KE)} = 1792 \, \text{Joules}\)[/tex]
- [tex]\(\text{velocity} = 16 \, \text{m/s}\)[/tex]

We need to solve for the mass. Rearranging the formula to solve for mass, we get:

[tex]\[
\text{mass} = \frac{2 \times \text{Kinetic Energy (KE)}}{\text{velocity}^2}
\][/tex]

Substituting the given values:

[tex]\[
\text{mass} = \frac{2 \times 1792}{16^2}
\][/tex]

Calculating the value:

1. Compute [tex]\(16^2 = 256\)[/tex].

2. Calculate [tex]\(2 \times 1792 = 3584\)[/tex].

3. Finally, divide [tex]\(3584\)[/tex] by [tex]\(256\)[/tex]:

[tex]\[
\text{mass} = \frac{3584}{256} = 14
\][/tex]

Therefore, the mass of the stone is [tex]\(14 \, \text{kg}\)[/tex].

The correct answer is A. 14 kg.

Thanks for taking the time to read A catapult flings a stone at tex 16 text m s tex giving it tex 1792 text J tex of kinetic energy What is the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada