- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# An object of mass $40\ kg$ is raised to a height of $5\ m$ above the ground. What is its potential energy? If the object is allowed to fall, find its kinetic energy when it is half-way down.

__Given:__

An object of mass $40\ kg$ is raised to a height of $5\ m$ above the ground.

__To do:__

To find its potential energy and If the object is allowed to fall, we have to find its kinetic energy when it is halfway down.

__Solution:__

Let us know the formula used for calculating the potential energy and kinetic energy of an object:

Potential energy, $P.E.=mgh$

Kinetic energy, $K.E.=\frac{1}{2}mv^2$

Here, $m\rightarrow$ mass of the object

$g\rightarrow$ gravitational acceleration

$h\rightarrow$height

$v\rightarrow$ velocity of the object

By using the above formulas let us find out the potential energy of the object at the height of $5\ m$:

__Potential energy at $5\ m$:__

Here given, the mass of the object $m=40\ kg$

Height of the object to be raised $h=5\ m$

gravitational acceleration on earth $g=9.8\ m/s^2$

So, the potential energy of the object $P.E.=mgh$

$=40\times 5\times 9.8$

$=1960\ J$

Thus, the potential energy of the object at the height of $5\ m$ is $1960\ J$ and its kinetic energy will be zero.

So, its total energy at $5\ m$ will be $1960\ J$

**When the object is allowed to fall, then at halfway down:**

Height $h'=\frac{5}{2}\ m=2.5\ m$

So, its potential energy $P.E.'=mgh'=40\times9.8\times2.5=980\ J$

Then, the kinetic energy of the object $K.E.=Total\ energy-potential\ enrgy$

$=1960\ J-980\ J$

$=960\ J$

So, the kinetic energy of the object halfway down is $980\ J$.

- Related Questions & Answers
- What is an Acceleration Clause and what is its significance?
- What is the height of marketing?
- Generation of Electrical Energy and its Importance
- What is the size of an object of an empty class in C++?
- What is Accountability and what is its importance in an organization?
- How to check if an object is an instance of a Class in JavaScript?
- How to check if an object is a PyTorch Tensor?
- What is the word OFFER and its rules?
- What is the job costing and its characteristics?
- What is the capital expenditure and its factors?
- Python - Check if the Pandas Index is of the object dtype
- How to find out if a Python object is a string?
- How to determine if JavaScript object is an event?
- What is the role of the window.history object in JavaScript?
- What is Java API and what is its use?
- What is DatabaseMetaData in JDBC? What is its significance?