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 13 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 = 12.667 m.

The particle starts at x = -1 m with a velocity of 6.070 m/s and reaches x = 18.00 m under the action of the force in the graph.

1. What is the impulse that you give to the particle as it moves from x = -1.00 m until it reaches x = 18.00 m. Remember that impulse is a vector, so in 1-dimension it can be either positive or negative.

2. For the situation described above, what is the work done on the particle by the force from x = -1.00 m to x = 18.00 m

3. For the situation described above, what is the velocity of the particle when it reaches x = 18.00 m.

4. For the situation described above, what is the impulse that the particle gives to you as it moves from x = -1.00 m until it reaches x = 18.00 m. Remember that impulse is a vector, so in 1-dimension it can be either positive or negative.