Calculating Kinetic Energy of an Object

Kinetic energy is the energy possessed by an object due to its motion. The amount of kinetic energy depends on the object's mass and its speed.

The formula to calculate kinetic energy is given by:

$\text{KE} = \frac{1}{2}mv^2$

Where:

• $\text{KE}$ is the kinetic energy
• $m$ is the mass of the object
• $v$ is the velocity (or speed) of the object

In this question, we are given the following information about the object:

• Mass ($m$) = 10 kg
• Velocity ($v$) = 2 m/s

Now, we can substitute these values into the kinetic energy formula:

$\text{KE} = \frac{1}{2} \times 10 \, \text{kg} \times (2 \, \text{m/s})^2$

First, calculate the square of the velocity:

$(2 \, \text{m/s})^2 = 2^2 \, (\text{m/s})^2 = 4 \, \text{m}^2/\text{s}^2$

Now, substitute this value back into the formula:

$\text{KE} = \frac{1}{2} \times 10 \, \text{kg} \times 4 \, \text{m}^2/\text{s}^2$

Perform the multiplication:

$\text{KE} = \frac{1}{2} \times 40 \, \text{kg} \cdot \text{m}^2/\text{s}^2$

$\text{KE} = 20 \, \text{kg} \cdot \text{m}^2/\text{s}^2$

The unit kg⋅m²/s² is equivalent to Joules (J), which is the standard unit for energy.

So, the kinetic energy of the object is 20 J.

Let's summarize the inputs and the calculated kinetic energy in a table:

The calculation shows that an object of mass 10 kg moving at a uniform velocity of 2 m/s has a kinetic energy of 20 J.