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A 600 g particle moving along the x -axis experiences the force shown in the fig

ID: 1425020 • Letter: A

Question

A 600 g particle moving along the x-axis experiences the force shown in the figure(Figure 1) . The particle's velocity is 1.0 m/s at x=0m.

Part A

What is its velocity at x=1m?

Express your answer to two significant figures and include the appropriate units.

Part B

What is its velocity at x=2m?

Express your answer to two significant figures and include the appropriate units.

Part C

What is its velocity at x=3m?

Express your answer to two significant figures and include the appropriate units.

F, (N) 15 10 01 x (m)

Explanation / Answer

work = change in KE

integral F.dX = change in KE

1/2*1*(10+15) = 1/2*0.6*(V^2-1^2) ( integral F.dX = area of F vs X )

=> V = 6.53 m/s

b) 1/2*2*(5+15) = 1/2*0.6*(V^2-1^2)

=> V = 8.22 m/s

c)

1/2*3*(15) = 1/2*0.6*(V^2-1^2)

=> V = 8.71 m/s

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