3. Glider A, of mass m, moves to the right with constant speed v, on a frictionless track toward glider B. Glider B has mass 2m and is initially at rest.

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3. Glider A, of mass m, moves to the right with
constant speed v, on a frictionless track toward
glider B. Glider B has mass 2m and is initially
2m
at rest.
Glider B
Glider A
System S consists of gliders A and B.
Momentum vectors
a. In the spaces provided, draw momentum vectors for glider A, glider B.
and system S. Label each vector with its magnitude (express magnitudes
in terms of the given quantities m and v,).
Glider A
Glider B
System S
Glider X, of mass 5m, (not shown in the diagram) moves to the right with
speed v, (i.e., the same speed as glider A) on a second frictionless track
parallel to the original track.
Velocity vectors in the frame of glider X
Glider A
b. Apply the Galilean transformation of velocities to
determine the velocity vectors of gliders A and B in
the reference frame of glider X. Draw the vectors
in the space at right. Label each vector with its
magnitude. (Express the magnitudes in terms of the
given quantities.)
Glider B
Momentum vectors in the frame of glider X
Glider A
Glider B
c. Draw momentum vectors of gliders A and B in the
reference frame of glider X. Label each vector with
its magnitude. Explain your reasoning.
d. Consider the following incorrect statement:
"Glider X has momentum 5mv, to the right, so in the reference frame of glider X, the
momentum of glider A is mv, – 5mo, = -4mv, or 4mv, to the left."
%3D
Explain the error(s) in the reasoning.
Suppose glider X had a different mass (i.e., something other than 5m). Would the magnitude
of the momentum of glider A in the reference frame of glider X be the same as or different
than the value you determined in part c? Explain.
Transcribed Image Text:3. Glider A, of mass m, moves to the right with constant speed v, on a frictionless track toward glider B. Glider B has mass 2m and is initially 2m at rest. Glider B Glider A System S consists of gliders A and B. Momentum vectors a. In the spaces provided, draw momentum vectors for glider A, glider B. and system S. Label each vector with its magnitude (express magnitudes in terms of the given quantities m and v,). Glider A Glider B System S Glider X, of mass 5m, (not shown in the diagram) moves to the right with speed v, (i.e., the same speed as glider A) on a second frictionless track parallel to the original track. Velocity vectors in the frame of glider X Glider A b. Apply the Galilean transformation of velocities to determine the velocity vectors of gliders A and B in the reference frame of glider X. Draw the vectors in the space at right. Label each vector with its magnitude. (Express the magnitudes in terms of the given quantities.) Glider B Momentum vectors in the frame of glider X Glider A Glider B c. Draw momentum vectors of gliders A and B in the reference frame of glider X. Label each vector with its magnitude. Explain your reasoning. d. Consider the following incorrect statement: "Glider X has momentum 5mv, to the right, so in the reference frame of glider X, the momentum of glider A is mv, – 5mo, = -4mv, or 4mv, to the left." %3D Explain the error(s) in the reasoning. Suppose glider X had a different mass (i.e., something other than 5m). Would the magnitude of the momentum of glider A in the reference frame of glider X be the same as or different than the value you determined in part c? Explain.
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