11. Momentum & 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 $B$?

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?

A ball is acted upon by a constant force $F$ over a time interval $\Delta t$. Assuming that this force is constant, what is the magnitude $j$ of the impulse on the ball?

A force $F$ acts on an object over a time interval of $3.0$ s, increasing linearly from zero to a maximum value $F_{\max }$ and then back to zero, forming a triangle on the force vs. time graph. What value of $F_{\max }$ will produce an impulse of $6.0N\cdot s$?

A 45 kg object is subjected to a variable force $F(t)$ over a time interval from $t=0$ to $t=5$ s. What is the expression for the impulse delivered to the object during this interval?

Which of the following best describes the distinction between $\mathrm{impulse}$ and $\mathrm{force}$ in physics?

The impulse experienced by a body is equivalent to the body's change in which of the following quantities?

Which of the following best describes the impulse-momentum theorem for a particle acted on by a force over a time interval?

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?

A 2.0 kg object is moving to the right with a speed of when it experiences the force shown in FIGURE EX11.9. What are the object's speed and direction after the force ends?