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An elephant has a mass of 2400 kg - Junior Cycle Science - Question (h) - 2017

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An elephant has a mass of 2400 kg. Calculate the weight of the elephant. What is the unit of weight? Calculate the pressure exerted by the elephant on the ground,... show full transcript

Worked Solution & Example Answer:An elephant has a mass of 2400 kg - Junior Cycle Science - Question (h) - 2017

Step 1

Calculate the weight of the elephant.

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Answer

To calculate the weight of the elephant, we use the formula:

extWeight=extmassimesextgravity ext{Weight} = ext{mass} imes ext{gravity}

Using the standard gravitational acceleration of 10extm/s210 ext{ m/s}^2, we have:

extWeight=2400extkgimes10extm/s2=24000extN ext{Weight} = 2400 ext{ kg} imes 10 ext{ m/s}^2 = 24000 ext{ N}

Thus, the weight of the elephant is 24000 N.

Step 2

What is the unit of weight?

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Answer

The unit of weight is the Newton, represented as N.

Step 3

Calculate the pressure exerted by the elephant on the ground.

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Answer

To calculate the pressure exerted by the elephant, we use the formula:

ext{Pressure} = rac{ ext{Force}}{ ext{Area}}

We already calculated the force (weight) to be 24000 N and the area of its feet to be 0.8 m², therefore:

ext{Pressure} = rac{24000 ext{ N}}{0.8 ext{ m}^2} = 30000 ext{ N/m}^2 ext{ or Pa}

Thus, the pressure exerted by the elephant on the ground is 30000 N/m² (Pascals).

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