A mass of 400 kg is moved a horizontal distance of 20 m due to a force of 500 kN. The amount of work done is:

To determine the amount of work done when moving an object, the work can be calculated using the formula:

[ \text{Work} = \text{Force} \times \text{Distance} ]

In this situation, the force applied is 500 kN, which converts to Newtons as follows:

[ 500 , \text{kN} = 500,000 , \text{N} ]

The distance moved is 20 m. Plugging in the values into the formula gives:

[ \text{Work} = 500,000 , \text{N} \times 20 , \text{m} = 10,000,000 , \text{J} ]

To express this in kilojoules, you divide by 1,000 (since 1 kJ = 1,000 J):

[ \text{Work} = 10,000,000 , \text{J} / 1,000 = 10,000 , \text{kJ} ]

Thus, the work done on the mass is 10,000 kJ, which corresponds to the correct answer. The calculation clearly illustrates how the combination of force