Write an expression for the conservation of momentum in the y direction, taking upwards as positive. -Write the correct equation from below for θTh. -Find the numerical value of θTh in degrees. You may assume that the mass of these particles is the number of nucleons (4 or 238) times the mass of a proton, 1.673 × 10-27 kg. -Write an expression for the speed of the thorium nucleus in terms of sin(θTh).

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-Write an expression for the conservation of momentum in the y direction, taking upwards as positive. 

-Write the correct equation from below for θTh

-Find the numerical value of θTh in degrees. You may assume that the mass of these particles is the number of nucleons (4 or 238) times the mass of a proton, 1.673 × 10-27 kg. 

-Write an expression for the speed of the thorium nucleus in terms of sin(θTh)

238
A „U nucleus is moving in the x-direction at 5.0 × 10° m/s when it decays into an alpha particle „He and a 90Th. If the alpha
234
particle moves off at 22.6° above the x axis with a speed of 1.4 × 10' m/s, what is the recoil velocity of the thorium nucleus? Assume the uranium-
thorium-alpha system is isolated; you may also assume the particles are pointlike.
Transcribed Image Text:238 A „U nucleus is moving in the x-direction at 5.0 × 10° m/s when it decays into an alpha particle „He and a 90Th. If the alpha 234 particle moves off at 22.6° above the x axis with a speed of 1.4 × 10' m/s, what is the recoil velocity of the thorium nucleus? Assume the uranium- thorium-alpha system is isolated; you may also assume the particles are pointlike.
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