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The gravitational fields strength of Mercury at its surface is about 4 N/kg.Calculate the weight of a 12 kg baby on Mercury.3 N96 N16 N48 N

Question

The gravitational fields strength of Mercury at its surface is about 4 N/kg.

Calculate the weight of a 12 kg baby on Mercury.

  • 3 N
  • 96 N
  • 16 N
  • 48 N
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Solution

1. Break Down the Problem

To calculate the weight of an object on a planet, we use the formula: Weight=mass×gravitational field strength \text{Weight} = \text{mass} \times \text{gravitational field strength} In this case:

  • Mass of the baby = 12 kg
  • Gravitational field strength on Mercury = 4 N/kg

2. Relevant Concepts

Weight can be calculated using the relation stated above. The gravitational force acting on the baby is directly proportional to its mass and the strength of gravity on that planet.

3. Analysis and Detail

Applying the formula: Weight=12kg×4N/kg \text{Weight} = 12 \, \text{kg} \times 4 \, \text{N/kg}

Now, performing the calculation: Weight=48N \text{Weight} = 48 \, \text{N}

4. Verify and Summarize

To ensure the calculation is correct:

  • Confirm that the mass (12 kg) is multiplied by the gravitational field strength (4 N/kg).

Thus: 12kg×4N/kg=48N 12 \, \text{kg} \times 4 \, \text{N/kg} = 48 \, \text{N}

Final Answer

The weight of a 12 kg baby on Mercury is 48 N.

This problem has been solved

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