A load of 16.5 kg is lifted through a height of 3.4 metres. Find the work done in kg metre.
56.1
Work Done Calculation in kg metre
The question asks us to calculate the work done when a specific load is lifted through a certain height. We need to express the answer in kg metre. This unit suggests a direct product of mass and height, often related to potential energy without considering the acceleration due to gravity (g) explicitly in the unit itself.
Understanding Work Done for Lifting Loads
When a load is lifted, work is done against gravity. In physics, work done (W) is generally defined as the product of force (F) applied and the distance (d) over which the force is applied in the direction of the force. Mathematically, it is given by:
\[W = F \times d\]
In the context of lifting an object, the force required is equal to the weight of the object, which is mass (m) times acceleration due to gravity (g). The distance is the height (h) lifted. So, work done (or potential energy gained) is typically:
\[W = m \times g \times h\]
However, the question specifically asks for the work done in kg metre. This implies that we should not multiply by 'g'. Instead, we are looking for a value that represents the mass times the height. This unit is sometimes used in specific engineering or conceptual contexts where 'g' is implicitly handled or not required for the specific calculation unit requested.
Given Values for Work Done Calculation
Let's list the information provided in the question:
- Load (Mass, \(m\)) = 16.5 kg
- Height (\(h\)) = 3.4 metres
Step-by-Step Work Done Calculation
To find the work done in kg metre, we will simply multiply the given mass of the load by the height through which it is lifted.
Formula to use (as per the requested unit kg metre):
\[\text{Work Done} = \text{Mass} \times \text{Height}\]
Substitute the given values into the formula:
\[\text{Work Done} = 16.5 \text{ kg} \times 3.4 \text{ metres}\]
Now, perform the multiplication:
\[\text{Work Done} = 56.1 \text{ kg metre}\]
Result of Work Done Calculation
Based on our calculation, the work done in lifting the load of 16.5 kg through a height of 3.4 metres is 56.1 kg metre.
Let's compare this result with the given options:
| Option | Value |
|---|---|
| 1 | 60.2 |
| 2 | 56.8 |
| 3 | 56.1 |
| 4 | 56.6 |
Our calculated value of 56.1 matches option 3.
Important Questions from Work
A body of mass 100 kg rests on a horizontal plane, the value of coefficient of friction between the body and plane being 0.025. Find the work done in moving the body through a distance of 10 metres along the plane.
A load of 16.5 kg is lifted through a height of 3.4 metres. Find the work done in kg metre.
______ efforts are where our eyes direct the movement of our bodies.
Task simplifications represent _______ work methods.
The energy equivalence of 1 eV is
