Unit 5 - Part 2 Centripetal acceleration Assessment POSS IBLE PO DINTS: 6. What is the centripetal force of a car with a mass of 1,500 kg that is moving with a velocity of 9m/s around a curve with a radius of 4 m? Hint: Find acceleration first then use that to find force. 120,375 12.375 30,375 54,375

## Step 1: <br />First, we need to calculate the centripetal acceleration. The formula for centripetal acceleration is given by:<br /><br />### \(a = \frac{v^2}{r}\)<br /><br />where:<br />- \(a\) is the centripetal acceleration,<br />- \(v\) is the velocity of the object, and<br />- \(r\) is the radius of the circular path.<br /><br />## Step 2:<br />Substitute the given values into the formula. The velocity \(v\) is 9 m/s and the radius \(r\) is 4 m.<br /><br />### \(a = \frac{(9 m/s)^2}{4 m} = 20.25 m/s^2\)<br /><br />## Step 3:<br />Next, we calculate the centripetal force. The formula for centripetal force is given by:<br /><br />### \(F = m \cdot a\)<br /><br />where:<br />- \(F\) is the centripetal force,<br />- \(m\) is the mass of the object, and<br />- \(a\) is the centripetal acceleration.<br /><br />## Step 4:<br />Substitute the calculated centripetal acceleration and the given mass into the formula. The mass \(m\) is 1500 kg and the centripetal acceleration \(a\) is 20.25 m/s^2.<br /><br />### \(F = 1500 kg \cdot 20.25 m/s^2 = 30,375 N\)