Question

The mass of a newborn baby is 3.5 kg. Which solution solves for the force of the Earth on the baby?

Answer 1

The force of the Earth on the newborn baby can be calculated using Newton's law of gravitation:
`\( F = m * g \)`, where F is the force, m is the mass of the baby (3.5 kg), and g is the acceleration due to gravity (approximately 9.81 m/s²).

Step-by-step explanation:

Newton's law of gravitation, expressed as
`\( F = m * g \)`, relates the force of gravity (F) acting on an object to its mass (m) and the acceleration due to gravity (g). In this case, the mass of the newborn baby is given as 3.5 kg.

The acceleration due to gravity (g) is a constant value on Earth and is approximately 9.81 meters per second squared (m/s²). By multiplying the mass of the baby (3.5 kg) by the acceleration due to gravity (9.81 m/s²), you can find the force of gravity acting on the baby.

This force represents the gravitational pull exerted by the Earth on the newborn baby. It's important to note that this force is commonly referred to as the baby's weight, as weight is the force exerted on an object due to gravity.

Given:

Mass of the newborn baby (m) = 3.5 kg

Acceleration due to gravity (g) ≈ 9.81 m/s²

Using Newton's law of gravitation:

`\[ F = m * g \]`

Substitute the given values:

`\[ F = 3.5 \, \text{kg} * 9.81 \, \text{m/s}^2 \]`

Now, perform the multiplication:

`\[ F = 34.335 \, \text{kg m/s}^2 \]`

Therefore, using
`\( F = m * g \)`, the force of the Earth on the newborn baby can be calculated as approximately
`\[ F = 34.335 \, \text{kg m/s}^2 \]` , resulting in the gravitational force acting on the baby.