\begin{tabular}{|l|l|} & \( \begin{array}{l}\text { Wher } \\ 186 \mathrm{~N} \text { of force,it was } \\ \text { traveling at } 6 \mathrm{~m} / \mathrm{sec}^{2} . \\ \text { What was the mass } \\ \text { of the car? }\end{array} \) \\ \hline 5 & A dog has a mass of \\ 16 kg . It runs \( 7 \mathrm{~m} / \mathrm{sec}^{2} \). \\ When it collides with \\ the gate what is the \\ force of the crash? \end{tabular}

Let's solve the two problems step by step. ### Problem 1: Finding the mass of the car **Given:** - Force (\( F \)) = 186 N - Acceleration (\( a \)) = 6 m/s² **Using Newton's second law of motion:** \[ F = m \cdot a \] where \( m \) is the mass. **Rearranging the formula to find mass:** \[ m = \frac{F}{a} \] **Substituting the known values:** \[ m = \frac{186 \, \text{N}}{6 \, \text{m/s}^2} \] Now, let's calculate the mass. Calculate the value by following steps: - step0: Calculate: \(\frac{186}{6}\) - step1: Reduce the numbers: \(\frac{31}{1}\) - step2: Calculate: \(31\) The mass of the car is \( 31 \, \text{kg} \). ### Problem 2: Finding the force of the crash **Given:** - Mass of the dog (\( m \)) = 16 kg - Acceleration (\( a \)) = 7 m/s² **Using Newton's second law of motion again:** \[ F = m \cdot a \] **Substituting the known values:** \[ F = 16 \, \text{kg} \cdot 7 \, \text{m/s}^2 \] Now, let's calculate the force of the crash. Calculate the value by following steps: - step0: Calculate: \(16\times 7\) - step1: Multiply the numbers: \(112\) The force of the crash when the dog collides with the gate is \( 112 \, \text{N} \). ### Summary of Results: 1. The mass of the car is \( 31 \, \text{kg} \). 2. The force of the crash involving the dog is \( 112 \, \text{N} \).