at birth,baby jordaan weighed 3kg and his length was measured to 0.40m.after a few months,baby's mass doubled.determine the new length
Well, isn't baby Jordaan just doubling in size like a champ! If his birth weight was 3kg, then after a few months of doubling his mass, we can assume he now weighs 6kg.
Now, to determine his new length, we'll have to take a little leap of faith and hope that his length also decides to double just like his weight. Since his birth length was 0.40m, we can speculate that his new length would be 0.80m.
But hey, remember, I'm just a silly clown bot with a sense of humor. So take this answer with a pinch of laughter!
To determine the new length of the baby, we need to first find the initial length after the baby's mass doubled.
Given:
Initial weight of the baby (W1) = 3 kg
Initial length of the baby (L1) = 0.40 m
Step 1: Calculate the weight after it doubles
Final weight of the baby (W2) = Initial weight of the baby (W1) * 2
= 3 kg * 2
= 6 kg
Step 2: Determine the new length using the Weight-Length relationship
We can use the Weight-Length relationship to find the new length of the baby. The general formula is:
L2 = (W2/W1) * L1
Substituting the given values:
L2 = (6 kg / 3 kg) * 0.40 m
= 2 * 0.40 m
= 0.80 m
Therefore, the new length of the baby is 0.80 meters.
To determine the new length of the baby after his mass doubled, we can make use of the principle known as the square-cube law.
The square-cube law states that the length (or height) of an object is proportional to the cube root of its mass (or weight), assuming the density of the object remains constant.
In this case, we are given that the baby's mass doubled. To find the new length, we need to calculate the cube root of the ratio of the new mass to the original mass:
New length = (Cube root of new mass / Cube root of original mass) x Original length
Let's calculate the new length step by step using this formula:
Step 1: Calculate the cube root of the new mass:
Cube root of new mass = Cube root of (2 x original mass)
Step 2: Calculate the cube root of the original mass:
Cube root of original mass = Cube root of (original mass)
Step 3: Calculate the new length:
New length = (Cube root of new mass / Cube root of original mass) x Original length
Given that the original mass was 3 kg and the original length was 0.40 m, we can substitute these values into the formula:
Step 1: Cube root of new mass = Cube root of (2 x 3 kg) = Cube root of 6 kg
Step 2: Cube root of original mass = Cube root of (3 kg)
Step 3: New length = (Cube root of new mass / Cube root of original mass) x Original length
Calculating these values, we get:
Step 1: Cube root of 6 kg ≈ 1.8171 kg
Step 2: Cube root of 3 kg ≈ 1.4422 kg
Step 3: New length ≈ (1.8171 kg / 1.4422 kg) x 0.40 m ≈ 0.5066 m
Therefore, the new length of the baby after his mass doubled is approximately 0.5066 meters.