Solved Examples based on kg and Newton
Example 1:Convert 20 kg to Newtons on Earth.
Solution:
Using the formula: F = m × g
F = 20 kg × 9.81 m/s2
So, F = 196.2N
Thus, an object with a mass of 20 kg weighs 196.2 Newtons on Earth.
Example 2: What is the force in Newtons of a 1 kg feather on Earth?
Solution:
We know F = m × g
F = 1 kg × 9.81m/s2
F = 9.81N
Hence, the feather exerts a force of 9.81 Newtons due to Earth’s gravity.
Example 3: Calculate the weight in Newtons for an 80 kg person.
Solution:
We know F = m × g
F = 80kg × 9.81m/s2
F = 784.8N
Hence, a 80 kg person has a weight of 784.8 Newtons on Earth.
Example 4: Calculate the total force exerted by three boxes on Earth with masses of 3 kg, 4 kg, and 5 kg, respectively.
Solution:
We will calculate the force for each box and then sum them:
F1 = 3 kg × 9.81 m/s2 = 29.43 N
F2 = 4kg × 9.81m/s2= 39.24N
F3 = 5kg × 9.81m/s2= 49.05N
Total force, F = 29.43 N + 39.24 N + 49.05 N = 117.72 N
The total force exerted by the boxes is 117.72 Newtons.
Example 5: A suitcase weighs 49.05 Newtons. What is its mass in kilograms?
Solution:
Using the formula, F = m × g, m = F/g
Here, F = 49.05N
So, m = 49.05N/ 9.81m/s2 ≈ 5kg
Hence, the mass of the suitcase is approximately 5 kilograms.
Relation Between Kg and Newton
Kilogram is the SI unit of mass that tells us how much matter is in an object. Newton, on the other hand, is the SI unit of force. It measures the push or pull on an object. There exists a straight proportionality between the kilogram and newton. The equivalent of one kilogram-force is 9.81 Newtons.
In this article, we will learn the relation between kg and newton in detail.
Table of Content
- What is Kg?
- What is Newton?
- Relation Between kg and Newton