Consider the two pucks shown in the figure. As they move towards each other, the momentum of each puck is equal in magnitude and opposite in direction. Given that v green- 12.0 m/s, and malue is 25.0% greater than marent what are the final speeds of each puck (in m/s), if the kinetic energy of the system is converted to internal energy? nght at an angle of 2 from the ghtly 0.0 that the two 130.0 00 o green puck preen - 1.25 Write the initial momentum of the system to find the blue puck's initial velocity, noting that because the initial momenta of the two pucks are equal in magnitude and opposite in direction, they sum to zero. Use the relationship that m, - 1.25 m Then, write expressions for the initial and final kinetic energies of the system, set the initial kinetic energy equal to the final kinetic energy, and solve the initial momentum and final kinetic energy equations for the final speeds. m/s "blue - 9.6 write the initial momentum of the system to find the blue puck's initial velocity, noting that because the initial momenta of the two pucks are equal in magnitude and opposite in direction, they sum to zero. Use the relationship that m, - 1.25 m Then, write expressions for the initial and final kinetic energies of the system, set the initial kinetic energy equal to the final kinetic energy, and solve the initial momentum and final kinetic energy equations for the final speeds. m/s

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter11: Collisions
Section: Chapter Questions
Problem 80PQ
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Consider the two pucks shown in the figure. As they move towards each other, the momentum of each puck is equal in magnitude and opposite in direction. Given that v, areen
= 12.0 m/s, and malue is 25.0% greater than mreen what are the final speeds of each puck (in m/s), if
the kinetic energy of the system is converted to internal energy?
t an angle of 30.0° above
horizontal.
The blue puck approanes
right, with its
130.0
from the
position slightly
o that the two
stly head-on.
30.0
he green puck,
moves down and to the
angle of 30.0° below
1.25
green
Write the initial momentum of the system to find the blue puck's initial velocity, noting that because the initial momenta of the two pucks are equal in magnitude and opposite in direction, they sum to zero. Use the relationship that m, = 1.25 m,. Then, write expressions
for the initial and final kinetic energies of the system, set -
the initial kinetic energy equal to the final kinetic energy, and solve the initial momentum and final kinetic energy equations for the final speeds. m/s
'blue = 9.6
Write the initial momentum of the system to find the blue puck's initial velocity, noting that because the initial momenta of the two pucks are equal in magnitude and opposite in direction, they sum to zero. Use the relationship that m, = 1.25 m, Then, write expressions
1
for the initial and final kinetic energies of the system, set
the initial kinetic energy equal to the final kinetic energy, and solve the initial momentum and final kinetic energy equations for the final speeds. m/s
2
Transcribed Image Text:Consider the two pucks shown in the figure. As they move towards each other, the momentum of each puck is equal in magnitude and opposite in direction. Given that v, areen = 12.0 m/s, and malue is 25.0% greater than mreen what are the final speeds of each puck (in m/s), if the kinetic energy of the system is converted to internal energy? t an angle of 30.0° above horizontal. The blue puck approanes right, with its 130.0 from the position slightly o that the two stly head-on. 30.0 he green puck, moves down and to the angle of 30.0° below 1.25 green Write the initial momentum of the system to find the blue puck's initial velocity, noting that because the initial momenta of the two pucks are equal in magnitude and opposite in direction, they sum to zero. Use the relationship that m, = 1.25 m,. Then, write expressions for the initial and final kinetic energies of the system, set - the initial kinetic energy equal to the final kinetic energy, and solve the initial momentum and final kinetic energy equations for the final speeds. m/s 'blue = 9.6 Write the initial momentum of the system to find the blue puck's initial velocity, noting that because the initial momenta of the two pucks are equal in magnitude and opposite in direction, they sum to zero. Use the relationship that m, = 1.25 m, Then, write expressions 1 for the initial and final kinetic energies of the system, set the initial kinetic energy equal to the final kinetic energy, and solve the initial momentum and final kinetic energy equations for the final speeds. m/s 2
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