Question
Determine the weight of the mass in Newtons: 275 kg to Newtons
Ask by Martinez Hodgson. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The weight of a 275 kg mass is approximately 2697.75 Newtons.
Solution
To determine the weight of a mass in Newtons (N) from its mass in kilograms (kg), you can use the following formula:
\[ \text{Weight (N)} = \text{Mass (kg)} \times \text{Acceleration due to gravity (m/s}^2\text{)} \]
The standard acceleration due to gravity on Earth is approximately \( 9.81 \, \text{m/s}^2 \).
**Given:**
- Mass (\( m \)) = 275 kg
- Acceleration due to gravity (\( g \)) = 9.81 m/s²
**Calculation:**
\[
\text{Weight} = 275 \, \text{kg} \times 9.81 \, \text{m/s}^2 = 2697.75 \, \text{N}
\]
**Rounded to two decimal places:**
\[
\text{Weight} \approx 2697.75 \, \text{N}
\]
**Therefore, the weight of a 275 kg mass is approximately 2697.75 Newtons.**
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Simplify this solution Mind Expander
To convert mass to weight in Newtons, you simply multiply the mass by the acceleration due to gravity, which on Earth is approximately 9.81 m/s². So, 275 kg multiplied by 9.81 m/s² equals about 2,696.75 N. That's the force exerted by gravity on that mass! Fun fact: The weight you feel isn’t just about mass; it varies slightly depending on your location on Earth, due to differences in gravity. So, if you’re weighing that 275 kg in different places—like a high mountain or at sea level—the weight in Newtons will shift just a bit!
