Impulse from Force vs. Time Graph Quiz: Test Your Knowledge

📚 Quick Study Guide

• ⏱️ Impulse is the change in momentum of an object.
• 💪 Impulse is also equal to the average force applied to an object multiplied by the time interval for which it acts: $J = F_{avg} \Delta t$.
• 📈 On a force vs. time graph, the impulse is equal to the area under the curve.
• 📐 If the force is constant, the area is simply a rectangle: Area = Force x Time.
• ➕ If the force varies, you may need to use calculus to find the area (integral), or approximate it using geometric shapes like triangles or trapezoids.
• 📏 Units for impulse are Newton-seconds (Ns) or kg m/s.
• 💡 Remember to pay attention to the units given in the problem!

🧪 Practice Quiz

1. What does the area under a force vs. time graph represent?
   1. (A) Acceleration
   2. (B) Velocity
   3. (C) Impulse
   4. (D) Displacement
2. A constant force of 10 N is applied to an object for 5 seconds. What is the impulse?
   1. (A) 2 Ns
   2. (B) 5 Ns
   3. (C) 10 Ns
   4. (D) 50 Ns
3. If the impulse on an object is 20 Ns and the force is applied for 4 seconds, what is the average force?
   1. (A) 5 N
   2. (B) 8 N
   3. (C) 16 N
   4. (D) 80 N
4. The area under a force vs. time graph is 30 Ns. If the object's initial momentum was 10 kg m/s, what is its final momentum?
   1. (A) 10 kg m/s
   2. (B) 20 kg m/s
   3. (C) 30 kg m/s
   4. (D) 40 kg m/s
5. A force vs. time graph shows a triangle with a base of 6 seconds and a height of 8 N. What is the impulse?
   1. (A) 12 Ns
   2. (B) 24 Ns
   3. (C) 48 Ns
   4. (D) 96 Ns
6. Which of the following is the correct unit for impulse?
   1. (A) N/s
   2. (B) Ns
   3. (C) N/m
   4. (D) m/s
7. A 2 kg object's velocity changes from 5 m/s to 15 m/s. What is the impulse on the object?
   1. (A) 10 Ns
   2. (B) 20 Ns
   3. (C) 30 Ns
   4. (D) 40 Ns