Need help with my radiation physics homework? Please answer with details!! 4. A2

Question

Need help with my radiation physics homework? Please answer with details!!

4. A2-kg particle is positioned at x 0 at t 0 moving to the right at 3 m/s. It moves along the frictionless positive x-axis subject only to the potential energy function UC), where 10 J for 0 x 2 m U (x) 5x J/m 20 J for 2 m x 4 m for 4 m x 6 m. (This function is shown graphed on the axes to the right, ignore gravity. a. Is this particle's momentum conscrved as it moves from x 0 to x 3 m? What about the situation tells you that the conditions for momentum conservation are (or are not) satisfied? [12 points] -4 AL-10 12 J position x (in meters)

Explanation / Answer

a]No, since there is net force after x =2m, momentum will not be conserved.

b] Total energy = PEi +KEi

= -10+0.5*2*3^2

= -1 J

which corresponds to x =3.8 m answer

c] Force = -dU/dx = 5 N towards negative x direction

d] It is bound because it has total energy of -1 J which is less than energy barrier of 0 J.

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