Shown below is a graph of the 1-dimensional, net force as a function of position, F ( x ), that you exert on a particle of mass 19 kg.


Note 1: It may be easier to solve these problems in a different order than they are asked.
Note 2: F = 0 at x = 9.190 m.

The particle starts at x = 5 m with a velocity of 5.570 m/s and reaches x = 22.00 m under the action of the force in the graph.

What is the impulse that you give to the particle as it moves from x = 5.00 m until it reaches x = 22.00 m. Remember that impulse is a vector, so in 1-dimension it can be either positive or negative.

For the situation described above, what is the work done on the particle by the force from x = 5.00 m to x = 22.00 m.

For the situation described above, what is the velocity of the particle when it reaches x = 22.00 m.

For the situation described above, what is the impulse that the particle gives to you as it moves from x = 5.00 m until it reaches x = 22.00 m. Remember that impulse is a vector, so in 1-dimension it can be either positive or negative.

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