College

How much work will it take to lift a 4-kg baby 1 meter into her crib?

A. 196 J
B. 4 J
C. 39.2 J
D. 1.96 J

Answer :

To determine how much work it will take to lift a 4-kg baby 1 meter into her crib, we can use the formula for work done against gravity:

[tex]\[ \text{Work} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]

Let's break it down step by step:

1. Identify the mass of the object: The baby has a mass of 4 kg.

2. Use the acceleration due to gravity: On Earth, gravity is approximately 9.8 m/s².

3. Determine the height: The height the baby is being lifted is 1 meter.

Substitute these values into the work formula:

[tex]\[ \text{Work} = 4 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1 \, \text{m} \][/tex]

4. Calculate the work: Multiply the numbers together.

[tex]\[ \text{Work} = 39.2 \, \text{Joules} \][/tex]

Therefore, the work required to lift the baby into her crib is 39.2 Joules. The correct answer is C. 39.2 J.