please answer each part of the question The figure below shows a plot of potenti

Question

please answer each part of the question

The figure below shows a plot of potential energy (U PE) versus position (x) of a 0.200 kg particle that can travel only along an x-axis under the influence of a conservative force The graph has values UA 9.00 J, Uc 20.00 J, and Up 24.00 J. The particle is released at the point where U forms a "potential hill" of "height" UB = 12.00 J, with a velocity of 7.27 m/s in the negative x-direction 0 1 2 34567 x (m) What will be the speed of the particle at x = 3.5 m? Submit Answer Tries 0/6 What is the force on the particle in the region between x = 10 m and x = 3.0 m? Submit Answer Tries 0/6 Will the particle be able to reach = 0.0 m? Yes

Explanation / Answer

(a)

let, speed of particle at x = 3.5 is v.

Apply conservation of energy b/w point A and B-

KEA + PEA = KEB + PEB

(1/2)*0.20*v^2 + 9 = (1/2)*0.20*(7.27)^2 + 12

0.10*v^2 = 8.2852

v = 9.10 m/s

(b)

Force F = dU / dx

force on particle in region b/w x = 1 and x = 3 m

F = (20 - 9) / (3 - 1)

F = 11 / 2

F = 5.5 N

(c)

No, the particle will not be able to reach x = 0 m.

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