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The potential energy of a particle moving along the x axis is shown in the figur

ID: 1601621 • Letter: T

Question

The potential energy of a particle moving along the xaxis is shown in the figure. (Figure 1) When the particle is at x=1.0m it has 3.6 J of kinetic energy. Give approximate answers to the following questions.

What is the total mechanical energy of the system?

Express your answer using one decimal place.

E=

What is the smallest value of x the particle can reach?

Express your answer using one decimal place.

xsmallest =

What is the largest value of x the particle can reach?

Express your answer using one decimal place.

xlargest = 10.0 6.0 J 5.0 J 2.0J 1.0 m 2.0 m 3.0 m 4.0 m 5.0 m

Explanation / Answer

a) The y-axis represents U, based on the graph determine the U for x = 1m, which is approximately 5.0J.

E = U + K
E = 5.0J + 3.6J = 8.6J


Find on the 8.6J and then look for the corresponding x.
b) Smallest x = 0.2
c) Largest x = 4.8

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