Question
The test wagon contains a dummy load of radioactive waste has a total combined mass of 10 tonne. This test involves letting the wagon
The test wagon contains a dummy load of radioactive waste has a total combined mass of 10 tonne. This test involves letting the wagon hit a buffer with a linear velocity of Vm/s. The retarding mechanism of the buffer stop has an equivalent spring constant of 100 x10N/m and the collision forms a maximum compression of 700mm. First, we will deduce the velocity of the wagon upon impact: Mass, m = 10 tonne = 10 x 1000kg = 10000kg Spring constant, k = 100 103 N/m Maximum compressoin, x = 700mm = 0.7m Let velocity of wagon upon impact = V Deceleration = a (11)From Hook's law / Simple Harmonic Motion: :. Kx = ma kx a = a = m (100 x 103 N/m)(0.7m) 10000kg So a = 7m/s V2=2ax (Applying equation of motion for wagon) V = 2ax V = 2(7 m/s) (0.7m) m/s)(0.7m) Velocity of wagon upon impact 3. 1305 m/s =
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