11. Momentum & Impulse

An object experiences a force given by the graph below. What value of F_max would give an impulse of 6 N⋅s?

(II) The force on a bullet along the barrel of a firearm is given by the formula F = [740 - (2.3 x 10⁵ s^-1) t] N over the time interval t = 0 to t = 3.0 x 10^-3 s. Determine the impulse by integration.

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A force in the +x-direction increases linearly from 0 N to 9000 N in 5.0 s, then suddenly ends. What impulse does this force provide?

A 30 g dart traveling horizontally hits and sticks in the back of a 500 g toy car, causing the car to roll forward at 1.4 m/s. What was the speed of the dart?

Far in space, where gravity is negligible, a 425 kg rocket traveling at 75 m/s in the +x-direction fires its engines. FIGURE EX11.10 shows the thrust force as a function of time. The mass lost by the rocket during these 30 s is negligible. At what time does the rocket reach its maximum speed? What is the maximum speed?

Two collisions are represented by their force vs. time graphs. Collision A has a force that peaks at $10$ N and lasts $0.2$ s, while Collision B has a force that peaks at $7$ N and lasts $0.5$ s. Which collision has the largest impulse?

Suppose two balls, $A$ and $B$, collide on a frictionless surface. At the moment of collision, ball $B$ exerts a force on ball $A$. Which of the following arrows best represents the direction of the impulse delivered to ball $A$ by ball $B$?