What is the weight of a 45 kg box?
Understand the Problem
The question is asking for the weight of a box that has a mass of 45 kg. Since weight is a measure of the force of gravity acting on an object and is calculated as the product of mass and the acceleration due to gravity (approximately 9.8 m/s²), we can calculate the weight using the formula: weight = mass × gravity.
Answer
The weight of the box is $441 \, \text{N}$.
Answer for screen readers
The weight of the box is 441 N.
Steps to Solve
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Identify the formula for weight Weight is calculated using the formula: $$ \text{Weight} = \text{Mass} \times \text{Gravity} $$
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Substitute the known values In this case, the mass of the box is 45 kg, and the acceleration due to gravity is approximately 9.8 m/s². Substitute these values into the formula: $$ \text{Weight} = 45 , \text{kg} \times 9.8 , \text{m/s}^2 $$
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Calculate the weight Now, perform the multiplication to find the weight: $$ \text{Weight} = 45 \times 9.8 = 441 , \text{N} $$
This gives us the weight in newtons (N).
The weight of the box is 441 N.
More Information
The weight is the force exerted by gravity on the object. A common context where this calculation is used is in physics labs, where understanding the weight of objects is crucial for experiments and engineering calculations.
Tips
- Ignoring units: Always ensure to indicate the units correctly (e.g., kilograms for mass and Newtons for weight).
- Wrong value for gravity: Make sure to use the correct value for gravitational acceleration, which is approximately 9.8 m/s² on the surface of the Earth.
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