AP Physics 1: Force vs. Time Graph Impulse Questions

📚 Quick Study Guide

• ⏱️ Impulse is the change in momentum of an object.
• 📈 Impulse can be calculated from a Force vs. Time graph by finding the area under the curve.
• 📐 If the force is constant, Impulse ($J = F\Delta t$).
• 🧮 If the force varies, you may need to use integration or approximate the area with shapes (rectangles, triangles).
• ⚖️ Impulse is a vector quantity, having both magnitude and direction.
• 🔄 The units for Impulse are Newton-seconds (N\cdot s) or kg\cdot m/s.
• 💡 Remember the Impulse-Momentum Theorem: $J = \Delta p = m\Delta v$

Practice Quiz

1. A constant force of 10 N is applied to an object for 2 seconds. What is the impulse on the object?
   1. 2 N⋅s
   2. 5 N⋅s
   3. 20 N⋅s
   4. 10 N⋅s
2. A 2 kg ball moving at 3 m/s hits a wall and bounces back at 1 m/s. What is the magnitude of the impulse imparted by the wall on the ball?
   1. 2 N⋅s
   2. 4 N⋅s
   3. 8 N⋅s
   4. 6 N⋅s
3. A force vs. time graph shows a constant force of 5 N for 3 seconds, followed by a linear decrease to 0 N over 2 seconds. What is the total impulse?
   1. 5 N⋅s
   2. 15 N⋅s
   3. 20 N⋅s
   4. 7.5 N⋅s
4. An object experiences an impulse of 30 N⋅s. If the object's mass is 5 kg, what is the change in velocity of the object?
   1. 3 m/s
   2. 6 m/s
   3. 10 m/s
   4. 15 m/s
5. A rocket engine exerts a force described by $F(t) = 100t$ (where $t$ is in seconds) for 4 seconds. What is the impulse exerted by the engine?
   1. 200 N⋅s
   2. 800 N⋅s
   3. 400 N⋅s
   4. 1600 N⋅s
6. A 0.5 kg hockey puck experiences an impulse of 5 N⋅s. If the puck was initially at rest, what is its final velocity?
   1. 5 m/s
   2. 2.5 m/s
   3. 10 m/s
   4. 15 m/s
7. A force vs. time graph is a rectangle with a height of 8 N and a width of 4 s. What is the impulse?
   1. 4 N⋅s
   2. 8 N⋅s
   3. 16 N⋅s
   4. 32 N⋅s