An object of 10 kg is moving with a speed of 2 m/s. The kinetic energy of the object is:

Options

A. 20 J
B. 5J
C. 10 J
D. 40 J

Answer

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

\[ KE = \frac{1}{2} mv^2 \]

Where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.

### Step 1: Identify the mass and velocity
Given:
- Mass \( m = 10 \) kg
- Velocity \( v = 2 \) m/s

### Step 2: Substitute the values into the formula
Now we will substitute the values of mass and velocity into the kinetic energy formula:

\[ KE = \frac{1}{2} \times 10 \times (2)^2 \]

### Step 3: Calculate \( v^2 \)
First, calculate \( (2)^2 \):

\[ (2)^2 = 4 \]

### Step 4: Substitute \( v^2 \) back into the equation
Now substitute \( 4 \) back into the equation:

\[ KE = \frac{1}{2} \times 10 \times 4 \]

### Step 5: Calculate \( \frac{1}{2} \times 10 \)
Next, calculate \( \frac{1}{2} \times 10 \):

\[ \frac{1}{2} \times 10 = 5 \]

### Step 6: Multiply by \( 4 \)
Now multiply \( 5 \) by \( 4 \):

\[ KE = 5 \times 4 = 20 \]

### Step 7: Write the final answer
Thus, the kinetic energy of the object is:

\[ KE = 20 \text{ joules} \]

### Summary
The kinetic energy of the object is 20 joules.

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