AP Free Response Question
2012 B7
Printer Friendly Version
The momentum of a particular proton is 5.5 x 10
^{-20}
kg m/s . Relativistic effects can be ignored throughout this question.
(a) Calculate the de Broglie wavelength of the proton.
(b) Calculate the kinetic energy of the proton.
The proton is directed toward a very distant stationary uranium nucleus,
^{235}
_{92}
U . The proton reaches a distance D from the center of the nucleus and then reverses direction. Assume that the nucleus is heavy enough to remain stationary during the interaction.
(c) Calculate the value of D.
(d) After the proton has moved away, the
^{235}
_{92}
U nucleus spontaneously fissions into
^{148}
_{57}
La and
^{84}
_{35}
Br , along with three neutrons. As a result, 2.5 x 10
^{-11}
J of energy is released. Indicate whether the mass of the
^{235}
_{92}
U nucleus is greater or less than the mass of the fission products.
____ Greater
____ Less
Calculate the mass difference.
Topic Formulas
Description
Published Formula
capacitance
Coulomb's Law
elastic potential energy
electric field
electric potential energy
energy stored in a capacitor
kinetic energy
mass-energy equivalence
parallel-plate capacitor
photoelectric equation
photon energy
photon momentum
potential and electric field strength
potential due to a collection of point charges
potential energy
power
power
work
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