Impulse and Area Under Graphs

This lesson covers impulse graphs, focusing on force as a function of time and its relation to impulse and momentum. It explains the formula for impulse, the significance of the area under force-time graphs, and how to calculate these areas using different shapes like squares, triangles, and trapezoids. Examples are provided to illustrate the calculation of impulse and change in velocity for a car, as well as handling mixed graph shapes with positive and negative areas.

What is the relationship between impulse and momentum?

• Impulse is the integral of momentum.

• Impulse equals the change in momentum.

• Impulse is unrelated to momentum.

• Impulse is the derivative of momentum.

What is the formula for calculating impulse?

• Mass times acceleration.

• Force times time interval.

• Force times velocity.

• Velocity times time interval.

What does the area under a force-time graph represent?

• The velocity of the object.

• The mass of the object.

• The impulse on the object.

• The acceleration of the object.

How do you calculate the area of a triangle on a force-time graph?

• Base times height.

• Length times width.

• Base plus height.

• One-half base times height.

What should you do with negative areas on a force-time graph?

• Multiply them by two.

• Subtract them from the positive areas.

• Ignore them.

• Add them to the positive areas.

What shape is not typically calculated geometrically on a force-time graph?

• Curved graph

• Trapezoid

• Triangle

• Square

How is the area of a trapezoid on a force-time graph calculated?

• One-half base times height.

• Length times width.

• Sum of the areas of a square and two triangles.

• Base times height.

In the example of the car, what is the change in velocity if the impulse is 8704 Ns and the mass is 1500 kg?

• 6.80 m/s

• 8.70 m/s

• 5.80 m/s

• 4.80 m/s

In the car example, what is the impulse if the area of the triangle is 8704?

• 8.7 x 10^5 Ns

• 8.7 x 10^4 Ns

• 8.7 x 10^2 Ns

• 8.7 x 10^3 Ns

In the mixed graph shapes example, what is the total area if the triangle's area is 25 and the rectangle's area is 10?

• 15

• 35

• 10

• 25