Question

A proton moves with a speed of 0.975c.

(a) Calculate its rest energy. MeV

(b) Calculate its total energy. GeV

(c) Calculate its kinetic energy. GeV

Answer #1

A proton moves with a speed of 0.850c.
(a) Calculate its rest energy.
____________________MeV
(b) Calculate its total energy.
___________________ GeV
(c) Calculate its kinetic energy.
____________________ GeV

*Proton speed
The rest energy of a proton is about 938 MeV. If its kinetic
energy is 1071 MeV, find the proton's speed as a ratio of c to 3
significant figures.

An electron has a total energy equal to two times its rest
energy.
(a) What is its momentum? MeV/c
(b) Repeat for a proton. GeV/c

What is the momentum of a proton with 950-MeV total energy?
(Rest energy of a proton is 938 MeV)

An electron has a kinetic energy K of 1 MeV and is incident on a
proton at rest in the laboratory. Calculate the speed of the CMS
frame (The centre of mass, or centre of momentum, (CMS) frame is
that in which the sum of the momenta (i.e., the total momentum) of
all particles is zero) moving relative to the laboratory.
(a) Express the initial energies Ee, Ep and initial momenta pe,
pp of the electron and proton respectively (with...

A proton has a total energy of E = 3.5 GeV. Determine the
following physical quantities: a) speed... v (in terms of c) b)
momentum... p ( in units... kg m/s & MeV/c ) c) kinetic
energy... K ( in units... J & MeV ).

The total energy of a proton is three times its rest energy.
Find the momentum of the proton in MeV/c units.

1. What is the momentum (p) of a 960-MeV proton (that is, its
kinetic energy is 960 MeVMeV )? Express your answer with the
appropriate units.
2. An electron (mmm = 9.11×10−31 kg ) is accelerated from rest
to speed v by a conservative force. In this process, its potential
energy decreases by 6.70×10−14 J . Determine the electron's speed,
v. (in term of c.)

Consider an anti-proton (rest mass = 1.007 825 amu) whose
kinetic energy is 450 MeV.
• Compute the ratio v/c (particle speed divided by speed of
light) using both the classical expression and the relativistic
expression for kinetic energy? How much error (in %) is incurred by
using the classical expression?
• Compute the magnitude of the anti-proton’s momentum using both
the relativistic and classical formulas. Provide you answers in
units of MeV/c.

What is the momentum of a 870-MeV proton (that is, its kinetic
energy is 870 MeV )?

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