An object of mass 13 kg is moving with a uniform velocity of 5 `ms^(-1)` . "What is the kinetic energy possessed by the object?

Options

A. 187.5 J
B. 17.5J
C. 162.5 J
D. 162.5 ms

Answer

To find the kinetic energy possessed by the object, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the mass and velocity of the object**:
- Mass (m) = 13 kg
- Velocity (v) = 5 m/s

2. **Use the formula for kinetic energy**:
- The formula for kinetic energy (KE) is given by:
\[ KE = \frac{1}{2} m v^2 \]

3. **Substitute the values into the formula**:
- Substitute the mass and velocity into the kinetic energy formula:
\[ KE = \frac{1}{2} \times 13 \times (5)^2 \]

4. **Calculate the square of the velocity**:
- Calculate \(5^2\):
\[ 5^2 = 25 \]

5. **Multiply the mass by the square of the velocity**:
- Now, substitute \(25\) back into the equation:
\[ KE = \frac{1}{2} \times 13 \times 25 \]

6. **Calculate \(13 \times 25\)**:
- Perform the multiplication:
\[ 13 \times 25 = 325 \]

7. **Divide by 2 to find the kinetic energy**:
- Now, divide \(325\) by \(2\):
\[ KE = \frac{325}{2} = 162.5 \]

8. **State the unit of kinetic energy**:
- The unit of kinetic energy is Joules (J). Therefore:
\[ KE = 162.5 \text{ Joules} \]

### Final Answer:
The kinetic energy possessed by the object is **162.5 Joules**.

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