An object of mass 15kg is moving with a uniform velocity of 4m/s. what is the kinetic energy possessed by the object ?

Explanation

To find the kinetic energy of the object, we will use the formula for kinetic energy (KE):

### Step 1: Write down the formula for kinetic energy
The formula for kinetic energy is given by:
\[ KE = \frac{1}{2} mv^2 \]
where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.

### Step 2: Identify the values given in the problem
From the question, we have:
- Mass \( m = 15 \, \text{kg} \)
- Velocity \( v = 4 \, \text{m/s} \)

### Step 3: Substitute the values into the formula
Now, we will substitute the values of mass and velocity into the kinetic energy formula:
\[ KE = \frac{1}{2} \times 15 \, \text{kg} \times (4 \, \text{m/s})^2 \]

### Step 4: Calculate the square of the velocity
First, calculate \( (4 \, \text{m/s})^2 \):
\[ (4 \, \text{m/s})^2 = 16 \, \text{m}^2/\text{s}^2 \]

### Step 5: Substitute the squared value back into the equation
Now substitute \( 16 \, \text{m}^2/\text{s}^2 \) back into the kinetic energy formula:
\[ KE = \frac{1}{2} \times 15 \, \text{kg} \times 16 \, \text{m}^2/\text{s}^2 \]

### Step 6: Multiply the values
Now, multiply the values:
\[ KE = \frac{1}{2} \times 15 \times 16 = \frac{240}{2} = 120 \, \text{J} \]

### Step 7: State the final answer
Thus, the kinetic energy possessed by the object is:
\[ KE = 120 \, \text{Joules} \]

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