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?

A2.0 kgtoaster is subjected to one force only. The force is in the positive x-direction, and it varies in time such that before $t=0.0\mathrm{s}$. $F=0\text{}\mathrm{N}$; between$t=0.0\mathrm{s}$ and $$. $F=10\text{}\mathrm{N}$; and after$t=3.0\mathrm{s}$. $F=0\text{}\mathrm{N}$ again. If the toaster started from rest, how fast will it be moving at$t=5.0\mathrm{s}$?

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

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. (b) 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?

In FIGURE EX11.5, what value of Fmax gives an impulse of 6.0 N s?

What is the impulse on a 3.0 kg particle that experiences the force shown in FIGURE EX11.4?