**Unit of Work Calculation**

To determine the change in the unit of work when the mass is doubled, length is halved, and time is tripled, we need to understand the relationship between mass, length, time, and work.

**Work Formula:**
Work is defined as the product of force and displacement, and can be calculated using the formula:

Work = Force x Displacement x cos(theta)

Where:
- Force: The force applied to an object
- Displacement: The distance over which the force is applied
- theta: The angle between the force vector and the displacement vector

However, for simplicity, we will consider cases where the angle between the force and displacement is 0 degrees, resulting in the formula:

Work = Force x Displacement

**Change in Units:**
1. Mass is doubled: This means the new mass is twice the original mass.
2. Length is halved: This means the new length is half the original length.
3. Time is tripled: This means the new time is three times the original time.

**Effect on Work:**

1. Mass Doubled:
When the mass is doubled, the force required to move the object will also be doubled. Therefore, the work done will be twice the original work.

2. Length Halved:
When the length is halved, the displacement over which the force is applied will also be halved. Therefore, the work done will be half the original work.

3. Time Tripled:
When the time is tripled, the force is applied for a longer duration. This means that the work done will be three times the original work.

**Net Change in Work:**

To find the net change in the unit of work, we need to consider the individual changes due to each factor:

- Mass Doubled: Work is doubled
- Length Halved: Work is halved
- Time Tripled: Work is tripled

Considering all three factors together, the net change in the unit of work will be:

(2 x 1/2 x 3) = 3

Therefore, the unit of work will be three times the original unit.