Kinetic Energy Calculator
What is Kinetic Energy Calculator?
Kinetic Energy Calculator is a tool that will allow you to determine the kinetic energy of a body. You can simply put the values of mass and velocity and get the required Kinetic Energy as an output.
You can calculate kinetic energy if you have the values of mass and velocity. The value of mass can also be determined if the values of velocity and kinetic energy are known. Also, the value of velocity can be found if you know the mass of an object and its kinetic energy.
Steps for Kinetic Energy Calculation
- Enter the values for Mass (m) and Velocity (v).
- Calculate the square of Velocity (v^2).
- Multiply Mass (m) with the square of Velocity (v^2).
- Divide the result by 2 to get the Kinetic Energy (KE).
Steps for Mass Calculation:
Steps for Velocity Calculation:
Answer:
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Kinetic Energy Definition
The energy, which is generated by an object because of its motion is termed kinetic energy. When an object is in motion, it can transmit energy to other bodies. The kinetic energy of an object is directly proportional to its speed.
Kinetic Energy Formula
The formula to calculate kinetic energy is:
Where:
KE = Kinetic Energy
m = mass of a body
v = velocity of a body
Calculating Kinetic Energy
The first thing to calculate the kinetic energy is its mass, which is in kilograms (kgs), and its velocity, which is in meters per second (m/s). You can use the above formula when you have the values of mass and velocity.
There are different steps to calculate kinetic energy. Here they are
Step 1: Gathering necessary information
First of all, you should have the values of mass (m) and velocity (v) of the object. For accurate results, you should have correct units of kg for mass and m/s for velocity.
For example, if the mass is 1500 grams, you’ll need to convert it into kilograms which will be 1.5 kgs. Now, if the velocity is 10m/s, just put these values in the formula and get your answer.
Step 2: Square the velocity
Take the value of velocity and square it. When you square the velocity, it will multiply with each other. As we have already the value of velocity that is 10m/s.
Calculate:
v2 = 10 m/s * 10 m/s = 100 m2/s2
Step 3: Multiply the velocity by 0.5 and the mass
You have already gotten the value of velocity in Step 2. Now multiply it by 0.5 and again multiply the result by mass (m). As already we have the value of mass which is 1.5 kg.
Results are:
KE = 0.5 * 2 kg * 100 m2/s2 = 100 Joules
Step 4: Determine the Kinetic Energy
Here you get the value of kinetic energy in joules (J). Because of kinetic energy, you will know the amount of work an object can do due to its motion.
Kinetic energy is also a scalar quantity, that has magnitude and no direction. It depends on the square of the velocity, which is always positive.
Units of Kinetic Energy
Kinetic energy has various units which depend on the system of measurement. The most common units for kinetic energy are:
- Joules (J) SI Units – 1 Joule = 1 kilogram * (m/s)2
- Foot-Pounds (ft-lb) – 1 foot-pound = 1 pound * (ft/s)2
- Ergs (erg) – 1 erg = 1 gram * (cm/)2
- Calories (Cal) – 1 calorie = 4.184 Joules (exactly)
Kinetic Energy Unit Conversion
Units of kinetic energy can be converted as follows:
- 1 Joule = 0.7376 foot-pounds
- 1 Joule = 10^7 ergs
- 1 Joule ≈ 0.239 cal
Examples of Kinetic Energy
Suppose you are in a school and your teacher has given you the following Numerical:
Example 1:
If a tennis ball is thrown with a velocity of 10m/s and its mass is 0.1kg. What is its kinetic energy?
Solution:
Mass (m) = 0.1 kg, Velocity (v) = 10 m/s
KE = 0.5 * 0.1 kg * (10 m/s)2
KE = 0.5 * 0.1 kg * 100 m2/s2
KE = 5 Joules
So, the kinetic energy of the tennis ball is 5 Joules.
Example 2:
If a car is having a mass of 2000kg and moving with a velocity of 20m/s. What is its kinetic energy?
Solution:
Mass (m) = 1000 kg, Velocity (v) = 30 m/s
KE = 0.5 * 1000 kg * (30 m/s)2
KE = 0.5 * 1000 kg * 900 m2/s2
KE = 450,000 Joules
The kinetic energy of the car is 400,000 Joules.
Example 3:
If a bullet is fired from a gun with a velocity of 500m/s and its mass is 0.01kg. What is its kinetic energy?
Solution:
Mass (m) = 0.01 kg, Velocity (v) = 500 m/s
KE = 0.5 * 0.01 kg * (500 m/s)2
KE = 0.5 * 0.01 kg * 250,000 m2/s2
KE = 1,250 Joules
The kinetic energy of the bullet is 1,250 Joules.
The above examples show how you can calculate the kinetic energy of different objects having different masses and velocities.
FAQ’s
What is Kinetic Energy Calculator?
Kinetic Energy Calculator is a tool that will allow you to determine the kinetic energy of a body. You can just simply put the values of mass and velocity and get your required Kinetic Energy as an output.
What is Kinetic Energy?
The energy possessed by a body due to its motion is known as kinetic energy. Both the mass and velocity of the body are necessary in determining the energy possessed by it.
How to calculate Kinetic Energy?
Calculating kinetic energy is not difficult. Just use the following formula:
KE = ½ x mass x velocity2. Mass should be in kilograms while velocity will be in meters per second. The final result will be in a unit of energy like Joule.
What is the SI unit and other units of Kinetic Energy?
The SI unit of kinetic energy is Joule (kg. m/s2). The English unit of kinetic energy is foot-pound (ft-lb). Other units may include calories (cal) or ergs (erg).
How is Kinetic Energy different from Potential Energy?
Kinetic energy is the energy of motion of an object or body such as a moving ball or fast car. Potential energy is the energy of an object due to its position i.e., stored energy such as a stretched rubber or an object in a certain position. These objects will do something when they are released.
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