Question

what is the weight in newtons of an object that has a mass of 5 kg? express your answer in newtons using three significant figures.

Explanation:

Step1: Recall the formula for weight

The formula relating weight \( W \), mass \( m \), and gravitational acceleration \( g \) is \( W = m \times g \). On Earth, the standard gravitational acceleration \( g \) is approximately \( 9.81 \, \text{m/s}^2 \).

Step2: Substitute the given values

We are given that the mass \( m = 5 \, \text{kg} \) and \( g = 9.81 \, \text{m/s}^2 \). Substituting these values into the formula:
\( W = 5 \, \text{kg} \times 9.81 \, \text{m/s}^2 \)

Step3: Calculate the weight

\( W = 49.05 \, \text{N} \). Now, we need to express this with three significant figures. The number \( 49.05 \) rounded to three significant figures is \( 49.1 \) (since the fourth digit is 5, we round up the third digit).

Answer:

\( 49.1 \)