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webassign net Webassign Net G Trust Me, I'm a P. Graduate School Inbox cnzabel@- Phy 101 W17 C Chegg Study IG e CW Decus anu une ol s directing une moto n are une intern ring Col ANALYZE (A) Determine the velocity after collision. Because no external force acts, the collision does not change the total momentum of the system of two particles. We set the total momentum before collision to the total momentum afterward m1 m2 vr. The final velocity of the two objects joined together is given by the previous momentum conservation equation: mg 1v1 (1) m1 m2 Using the values of this exercise, we get 20 k 5 m/s) 11 kg) 4 m/s). m/s. vr (20 kg) (11 kg) (B) Determine the change in total mechanical energy. While the forces that the two objects exert on each other cannot change their total momentum, they can change the total kinetic energy in an inelastic collision such as the one being considered. All of the mechanical energy in the problem is kinetic energy. The change in kinetic energy is then At this point, we can either substitute the numerical values to evaluate AK, or we could substitute in Equation (1) for vf into the expression for AK and simplify the expression before doing the calculation. The first procedure is easier if only a numerical answer is needed, while the second is more useful in exploring how the loss in kinetic energy depends on the velocities and masses of the colliding objects. Directly substituting in numerical values gives AK (20 kg 11 kg)(vr m/s) Y2(20 kg)(15 m/s 2 1 11 kg)(4 m/s) Following the second procedure instead m1m2. This could be used to calculate the same numerical answer, but it also shows various features that you might examine in the simulation. For example, notice that the change in kinetic energy depends on velocity only through the relative initial velocity, or difference in initial velocity (v1 v2), of the two particles FINALIZE For a given initial velocity with the second object initially at rest, does the solution to this problem suggest that a large ratio of m1 to m2 or a small ratio produces the largest possible final velocity? When the two objects initially have equal and oppositely-directed velocities, what does the momentum conservation equation indicate will happen? Geller Google S Joan Geller Facts DashboardExplanation / Answer
vf = (m1 * v1) + (m2 * v2) / (m1 + m2)
vf = (20 * 15) + (11 * 4) / (20 + 11)
vf = 11.1 m/s
K = 1/2 * (m1 + m2) * vf^2 - (1/2 * m1 * v1^2 + 1/2 * m2 * v2^2)
K = 1/2 * ( 20 + 11) * 11.1^2 - (1/2*20*15^2 + 1/2*11*4^2)
K = - 428.2 J
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