A mass of 400 kg is moved a horizontal distance of 30 m due to a force of 300 kN. The amount of work done is:

To determine the work done when a force moves an object, the work can be calculated using the formula:

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

In this case, the force applied is 300 kN, which needs to be converted into Newtons for consistency with the distance measurement (30 m).

1 kN equals 1,000 N, so:

[ 300 , \text{kN} = 300,000 , \text{N} ]

Next, substituting the values into the work formula:

[ \text{Work} = 300,000 , \text{N} \times 30 , \text{m} ]

[ \text{Work} = 9,000,000 , \text{J} ]

This can also be expressed in kilojoules (kJ) by dividing by 1,000, since 1 kJ equals 1,000 J:

[ 9,000,000 , \text{J} = 9,000 , \text{kJ} ]

Therefore, the total work done in moving the 400 kg mass a