The force acting on a mass of 1 g due to the gravitational pull on the earth is called 1 g wt. One g wt equals to how much Newton?
The correct answer and explanation is:
Correct Answer:
1 g wt = 0.0098 N
Explanation:
The term “g wt” or gram weight refers to the force exerted by Earth’s gravity on a 1 gram mass. It is essentially the weight of a 1 g object.
To convert this into Newtons, we must understand the relationship between mass and weight using Newton’s second law: Force (Weight)=Mass×Acceleration due to gravity\text{Force (Weight)} = \text{Mass} \times \text{Acceleration due to gravity}
Step-by-step Calculation:
- Mass = 1 gram = 0.001 kilograms (since 1000 g = 1 kg)
- Acceleration due to gravity (g) = 9.8 m/s²
Weight=0.001 kg×9.8 m/s2=0.0098 N\text{Weight} = 0.001 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 0.0098 \, \text{N}
So, the gravitational force acting on a 1 gram object is 0.0098 Newtons. This means 1 gram-weight (1 g wt) is equivalent to 0.0098 N.
Why This Is Important:
In physics and engineering, we often deal with both mass and weight, and it’s crucial not to confuse them:
- Mass is a measure of matter in an object (measured in grams or kilograms).
- Weight is the force due to gravity on that mass (measured in Newtons).
Even though we often say something “weighs” 1 gram in everyday speech, technically, “1 gram” is a mass, not a weight. The weight of that 1 gram mass, due to Earth’s gravity, is 0.0098 N.
Understanding this helps in fields like mechanics, engineering, and medicine (e.g., force applied in surgical tools or measuring pressure).
So, to summarize:
1 g wt = 0.0098 N, which is the force Earth’s gravity applies to a 1 g mass.