Question

a rock accelerates at -3.0 m/s² when a net force of -180 n is exerted onto it. what is the mass of the rock?
f = -180 n
a = -3.0 m/s²
m = ? kg

Explanation:

Step1: Recall Newton's Second Law

Newton's second law is given by \( F = ma \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration. We need to solve for \( m \), so we rearrange the formula to \( m=\frac{F}{a} \).

Step2: Substitute the given values

We are given \( F = -180 \, \text{N} \) and \( a = -3.0 \, \text{m/s}^2 \). Substituting these into the formula \( m=\frac{F}{a} \), we get \( m=\frac{-180}{-3.0} \).

Step3: Calculate the mass

Dividing \(-180\) by \(-3.0\) gives \( m = 60 \, \text{kg} \).

Answer:

\( 60 \)