Question

question 11
1 pts
an object has some unknown mass \m\. the object sits on the surface of earth. if the objects mass is doubled, what happens to its weight?
○ the objects weight remains the same
○ the objects weight quadruples
○ the objects weight is halved
○ the objects weight doubles

Explanation:

Step1: Recall the formula for weight

Weight \( W \) is given by the formula \( W = m \times g \), where \( m \) is mass and \( g \) is the acceleration due to gravity (on Earth, \( g \) is approximately constant near the surface).

Step2: Analyze the effect of doubling mass

If the original mass is \( m \) and original weight is \( W = m \times g \). When the mass is doubled to \( 2m \), the new weight \( W' = 2m \times g \).

Step3: Compare new weight with original weight

Simplify \( W' \): \( W' = 2 \times (m \times g) = 2W \). So when mass doubles, weight doubles (since \( g \) is constant here).

Answer:

The object's weight doubles