Understanding Work Done in Lifting a Load

Work is done when a force causes displacement. In this problem, we are asked to find the work done in lifting a specific load (mass) through a certain height. The unit requested is 'kg metre', which suggests a direct multiplication of the mass in kilograms by the height in metres.

Given Information

• Mass of the load, $m = 16.5$ kg
• Height lifted, $h = 3.4$ metres

Calculating Work Done

The formula for work done, when expressed in terms of mass and height (as implied by the unit 'kg metre'), is:

Work Done ($W$) = Mass ($m$) $\times$ Height ($h$)

Let's substitute the given values into the formula:

$W = 16.5 \, \text{kg} \times 3.4 \, \text{metres}$

Now, we perform the multiplication:

$16.5 \times 3.4 = 56.1$

Therefore, the work done is 56.1 kg metre.

Result Verification

Comparing our calculated value with the given options:

• Option 1: 60.2
• Option 2: 56.8
• Option 3: 56.1
• Option 4: 56.6

Our calculated work done is 56.1 kg metre, which matches Option 3.