Question

A particle of mass 3m and total energy E = 7m moves toward a particle of mass m at rest. What is the total system mass?

Answer #1

A photon with energy of 3m hits a particle of mass m at rest.
the photon "back-scatters" from this interaction (meaning moves it
the opposite direction) while the particle moves forward to
conserve momentum. Find the back-scattered photon's energy E and
the particles speed v.

A particle of mass m moves under a force F = −cx^3 where c is a
positive constant. Find the potential energy function. If the
particle starts from rest at x = −a, what is its velocity when it
reaches x = 0? Where in the subsequent motion does it
instantaneously come to rest?

A particle with total
mass 6.0*m decays into a lighter particle of mass m and a photon.
Assume all measurements are made in the rest frame of the initial
particle. If the energy of the photon is measured to be 2.5*m, what
is the gamma-factor and speed of the lighter particle?"
There are multiple
right answers to this, because as written, the problem is
"overconstrained." The energy of the photon can't be arbitrarily
set to 2.5*m, it needs to be...

There exists a particle with a mass of m and a total energy that
is equal to zero. If its wavefunction is given by psi(x) =
D*x*e^(-x^2/b^2), where D and b are constants, find the potential
energy and constant D (normalization constant).

A mass (m) moves along the x-axis with velocity 2v. Another
particle of mass (2m) moves with velocity v along the y-axis.
1) If the two objects collide inelastically and merge, how much
kinetic energy is lost to heat?
2) If instead they collide elastically and it turns out that m
still moves purely along the x-axis, what is it's velocity in the
final state?
It may help to find the velocities of these particles in the
center of mass...

A positive charged particle carries 0.9 µC and moves with a
kinetic energy of 0.06 J. It travels through a uniform magnetic
field of
B = 0.4 T.
What is the mass of the particle (in kg )if it moves in the
magnetic field in circular manner with a radius
r = 4.1 m?

5. Two bodies of mass m and 3m, respectively, are in circular
orbits around their common center of mass. The maximum separation
of the two bodies is a.
(a) Draw their orbital paths, in the rest frame of their center
of mass. Label the center of mass.
(b) What is the gravitational potential energy of this
system?
(c) What is the sidereal period of the body with mass m?
(d) What is the sidereal period of the body with mass...

particle of mass m moves under a
conservative force where the potential energy function is given by
V = (cx) / (x2 + a2 ), and where c and a are
positive constants.
Find the position of stable
equilibrium and the period of small oscillations about it.

A particle of mass 0.0269 kg moves along the x-axis under the
influence of a conservative force. The potential energy of the
particle is given by the following formula U=-A/x where A = 1,200
Jm. A) Find the work done on the particle by the conservative force
in moving it from x = 10.0 m to x = 60.0 m. B) If the speed of the
particle was 5.00 m/s at x = 10.0 m, what is its speed at...

A particle of mass, m, in an isolated environment moves along a
line with speed v whilst experiencing a force proportional to its
distance from the origin.
a) Determine the Langrangian of the system
b) Determine the Hamiltonian of the system
c) Write down Hamilton’s equations of motion for the particle d)
Show that the particle executes simple harmonic motion

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