The potential energy (in Joules) of a particle of mass 9 kg is given by the function U(x) = 1500 − 70x2 + x4. The figure shows a plot of U(x) versus the particle position 2 . The particle can travel only along the x axis and is under the influence of a conservative force. The particle is released at 5 m with a speed of 11 m/s. (a) Determine the total mechanical energy of the particle. Etot = (b) What is the speed of the particle at x = 7 m? v = m/s (c) Determine the two turning points of the motion of the particle. Enter your answer such that x1 represents the turning point with larger numerical value (ie, x1 > x2 ). x1 = m x2 = m

The potential energy (in Joules) of a particle of mass 9 kg is given by the function U(x) = 1500 − 70x2 + x4. The figure shows a plot of U(x) versus the particle position 2 . The particle can travel only along the x axis and is under the influence of a conservative force. The particle is released at 5 m with a speed of 11 m/s. (a) Determine the total mechanical energy of the particle. Etot = (b) What is the speed of the particle at x = 7 m? v = m/s (c) Determine the two turning points of the motion of the particle. Enter your answer such that x1 represents the turning point with larger numerical value (ie, x1 > x2 ). x1 = m x2 = m

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The potential energy (in Joules) of a particle of mass 9 k g is given by the function U ( x ) = 1500 70 x 2 + x 4 . The figure shows a plot of U ( x ) versus the particle position 2 . The parricle can travel only along the x axis and is under the infuence of ? conservative force. The particle is released at 5 m with a speed of 11 m / s . (a) Determine the total mechanical energy of the particle.
E tot =
(b) What is the speed of the particle at x = 7 m ? v = m / s (c) Determine the two turning points of the motion of the particle.
  • Enter your annier sudh that x 1 represents the rioning point with larger mumerical wilue (ie, x 1 > x 2 ).
x 1 = x 2 =
m m

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