Newton's Second Law: Practice Problems Use Newton's Second Law to calculate the following. NO NAKED NUMBERS! 1. F=underline ( ) m=5kg a=2m/s 2.F= F=underline ( ) m=12kg a=3m/s 3. F=100N m=underline ( ) a=20m/s 4.F=0.50N m=underline ( ) a=2m/s

## Step 1:<br />We are given the mass and acceleration for each problem. We need to find the force. We use Newton's Second Law, which states that the force is the product of mass and acceleration. The formula is:<br />### \( F = m \times a \)<br /><br />## Step 2:<br />For the first problem, we substitute the given values into the formula:<br />### \( F = 5kg \times 2m/s = 10N \)<br /><br />## Step 3:<br />For the second problem, we substitute the given values into the formula:<br />### \( F = 12kg \times 3m/s = 36N \)<br /><br />## Step 4:<br />For the third problem, we are given the force and acceleration, and we need to find the mass. We rearrange the formula to solve for mass:<br />### \( m = \frac{F}{a} \)<br /><br />## Step 5:<br />Substitute the given values into the formula:<br />### \( m = \frac{100N}{20m/s} = 5kg \)<br /><br />## Step 6:<br />For the fourth problem, we substitute the given values into the formula:<br />### \( m = \frac{0.50N}{2m/s} = 0.25kg \)