Question

V. V a-particle V.

The sketch above illustrates a technique called Rutherford backscattering spectroscopy (RBS) which is often used to analyze the composition of a material. Here an alpha particle (mass m1 = 4.002 u) is shot with a speed of v1 = 6.700×106 m/s at a target atom of mass m2 = 28.00 u. It collides (not necessarily elastically) and recoils back at an angle of θ = 140.0° relative to its original direction of motion at a speed of va = 4.156×106 m/s, into a detector that measures its speed. Find the speed vb and direction ϕ (in degrees) of the atom after the collision. Note: An atomic mass unit, 1 u = 1.661 × 10-27 kg

vb =  with ϕ =

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Answer #1

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