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Chapter 3: Problem 31

What happens to the weight of an object if you triple its mass?

Short Answer

Expert verified
The weight of the object triples.

Step by step solution

01

Understand the relationship between weight and mass

Weight (\textbf{W}) is the force exerted by gravity on an object. It can be calculated using the formula: \[ W = m \times g \] where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity. On Earth, \( g \) is approximately \( 9.8 \, \text{m/s}^2 \).
02

Apply the change in mass

If the mass of the object is tripled, let the new mass be represented as \( 3m \).
03

Calculate the new weight

Substitute the new mass into the weight formula: \[ W' = 3m \times g \] This shows that the new weight (\textbf{W'}) is three times the original weight (\textbf{W}).
04

Conclusion

If the mass of an object is tripled, its weight will also be tripled because weight is directly proportional to mass.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

weight formula
The weight of an object is a measure of the force exerted on it by gravity. It's different from mass, which is the amount of matter in an object.
This distinction is important to understand.

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