https://file.aiquickdraw.com/mathbot/file/17299387152102vupc3x0.jpg

The question in the image asks:

> "A body of 4.0 kg is lying at rest. Under the action of a constant force, it gains a speed of 5 m/s. The work done by the force will be ______."

### Solution:

1. **Identify the given dataThe question in the image asks:

> "A body of 4.0 kg is lying at rest. Under the action of a constant force, it gains a speed of 5 m/s. The work done by the force will be ______."

### Solution:

1. **Identify the given **
   - Mass, \( m = 4.0 \, \text{kg} \)
   - Initial velocity, \( u = 0 \, \text{m/s} \) (since the body is initially at rest)
   - Final velocity, \( v = 5 \, \text{m/s} \)

2. **Use the Work-Energy Theorem:**
   The work done \( W \) by the force on the body is equal to the change in its kinetic energy.
   
   \[
   W = \Delta KE = \frac{1}{2} m v^2 - \frac{1}{2} m u^2
   \]
   
3. **Substitute the values:**
   \[
   W = \frac{1}{2} \times 4.0 \, \text{kg} \times (5 \, \text{m/s})^2 - \frac{1}{2} \times 4.0 \, \text{kg} \times (0 \, \text{m/s})^2
   \]
   \[
   W = \frac{1}{2} \times 4.0 \times 25
   \]
   \[
   W = 2.0 \times 25 = 50 \, \text{J}
   \]

### Answer:
The work done by the force is **50 J**.

Would you like more details on any step or have additional questions?

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### Related Questions
1. How would the work done change if the mass were doubled?
2. What if the body reached a final speed of 10 m/s instead of 5 m/s?
3. How can we calculate the force if we know the distance over which it acted?
4. How would the calculation change if there was initial velocity instead of rest?
5. What is the relationship between force, work, and energy?

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### Tip:
Remember that the work done on an object equals the change in kinetic energy, making it a straightforward calculation if you know the object's initial and final speeds.

A body of 4.0 kg is lying at rest. Under the action of a constant force, it gains a speed of 5 m/s. The work done by the force will be ______.

Learn how to calculate the work done by a constant force on a 4.0 kg body initially at rest, as it gains a speed of 5 m/s. This problem uses the Work-Energy Theorem and involves calculating the change in kinetic energy. Suitable for high school physics students.

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