A 17 kg particle moving along the xaxis experiences the forc

A 1.7 kg particle moving along the x-axis experiences the force shown in the figure(Figure 1) . The particle\'s velocity is 3.4 m/s at x=0m.

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The Definite Integral

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Part A

What is its velocity at x=2m?

Part B

What is its velocity at x=4m?

given mass of particel m = 1.7 kg

at x = 0, particels velocity v = 3.4 m/s

A. now, area under force, displacement graph giv es work done on the particle

at x = 0, KE of particel = KEo = 0.5mv^2 = 0.5*1.7*3.4^2 = 9.826 J

so, at x = 2m

work done by force = 0.5*2*10 = 10 J

net KE of the object = 19.826 J

let veloctiy be u

then 0.5mu^2 = 19.826 = 0.5*1.7u^2

u = 4.829 m/s

B. at x = 4 m

net work done on the object = 0 J

hence change in KE = 0

so velocity = v = 3.4 m/s