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What is the equation for the velocity of the center of mass of a system of particles?
What is the equation for the velocity of the center of mass of a system of particles?
$v_{S_{CM}} = \frac{1}{M} \sum_{i} m_i v_{S_i}
What is the equation for the total linear momentum of a system of particles?
What is the equation for the total linear momentum of a system of particles?
$p_{S_{tot}} = M v_{S_{CM}}
What is the equation for the acceleration of the center of mass of a system of particles?
What is the equation for the acceleration of the center of mass of a system of particles?
$a_{S_{CM}} = \frac{1}{M} \sum_{i} m_i a_{S_i}
What is the equation for the net force on particle i in a system of particles?
What is the equation for the net force on particle i in a system of particles?
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What type of forces can act on a particle in a system?
What type of forces can act on a particle in a system?
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According to Newton's third law, how does the internal force exerted by particle 1 on particle 2 compare to the internal force exerted by particle 2 on particle 1?
According to Newton's third law, how does the internal force exerted by particle 1 on particle 2 compare to the internal force exerted by particle 2 on particle 1?
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What is the equation for the velocity vector of a position vector?
What is the equation for the velocity vector of a position vector?
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What is the equation for net external force on a system of particles?
What is the equation for net external force on a system of particles?
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What is the equation that relates impulse and momentum for a system of many particles?
What is the equation that relates impulse and momentum for a system of many particles?
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What is the equation for the isolated system model for momentum of a system of many particles?
What is the equation for the isolated system model for momentum of a system of many particles?
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When is the total linear momentum of a system of particles conserved?
When is the total linear momentum of a system of particles conserved?
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What is the condition for the center of mass of an isolated system to remain at rest?
What is the condition for the center of mass of an isolated system to remain at rest?
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What happens to the center of mass of a system when a swimmer dives horizontally off a raft?
What happens to the center of mass of a system when a swimmer dives horizontally off a raft?
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What is the magnitude of the linear momentum of the diver compared to that of the raft?
What is the magnitude of the linear momentum of the diver compared to that of the raft?
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What is the direction of the linear momentum of the diver compared to that of the raft?
What is the direction of the linear momentum of the diver compared to that of the raft?
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True or false: The velocity of the center of mass of a system of particles is equal to the sum of the velocities of each individual particle.
True or false: The velocity of the center of mass of a system of particles is equal to the sum of the velocities of each individual particle.
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True or false: The total linear momentum of a system of particles is equal to the total mass multiplied by the velocity of the center of mass.
True or false: The total linear momentum of a system of particles is equal to the total mass multiplied by the velocity of the center of mass.
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True or false: The acceleration of the center of mass of a system of particles is equal to the sum of the accelerations of each individual particle.
True or false: The acceleration of the center of mass of a system of particles is equal to the sum of the accelerations of each individual particle.
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True or false: The net force on particle i in a system of particles is equal to the product of its mass and acceleration.
True or false: The net force on particle i in a system of particles is equal to the product of its mass and acceleration.
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True or false: The internal force exerted by particle 1 on particle 2 is equal in magnitude and opposite in direction to the internal force exerted by particle 2 on particle 1.
True or false: The internal force exerted by particle 1 on particle 2 is equal in magnitude and opposite in direction to the internal force exerted by particle 2 on particle 1.
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True or false: The external forces acting on a particle in a system can affect its linear momentum.
True or false: The external forces acting on a particle in a system can affect its linear momentum.
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True or false: The center of mass of an isolated system will remain at rest if the net external force on the system is zero.
True or false: The center of mass of an isolated system will remain at rest if the net external force on the system is zero.
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True or false: The net force on a system of particles is caused only by external forces.
True or false: The net force on a system of particles is caused only by external forces.
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True or false: The center of mass of a system of particles moves like an equivalent particle of mass M would move under the influence of the net external force on the system.
True or false: The center of mass of a system of particles moves like an equivalent particle of mass M would move under the influence of the net external force on the system.
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True or false: The impulse imparted to a system of many particles by external forces is equal to the change in momentum of the system.
True or false: The impulse imparted to a system of many particles by external forces is equal to the change in momentum of the system.
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True or false: If the net external force on a system of particles is zero, then the total linear momentum of the system is conserved.
True or false: If the net external force on a system of particles is zero, then the total linear momentum of the system is conserved.
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True or false: If the center of mass of an isolated system consisting of two or more members is at rest, then the center of mass of the system remains at rest if there is no net force on the system.
True or false: If the center of mass of an isolated system consisting of two or more members is at rest, then the center of mass of the system remains at rest if there is no net force on the system.
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True or false: The linear momentum of the diver is equal in magnitude to that of the raft, but opposite in direction.
True or false: The linear momentum of the diver is equal in magnitude to that of the raft, but opposite in direction.
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True or false: The equation for the acceleration of the center of mass of a system of particles is $a_{S_{CM}} = \frac{1},{M} \sum_{i=1}^{n} m_i a_{i}$, where $M$ is the total mass of the system and $m_i$ is the mass of particle $i$.
True or false: The equation for the acceleration of the center of mass of a system of particles is $a_{S_{CM}} = \frac{1},{M} \sum_{i=1}^{n} m_i a_{i}$, where $M$ is the total mass of the system and $m_i$ is the mass of particle $i$.
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True or false: The equation for the velocity of the center of mass of a system of particles is $v_{S_{CM}} = \frac{1},{M} \sum_{i=1}^{n} m_i v_{i}$, where $M$ is the total mass of the system and $m_i$ is the mass of particle $i$.
True or false: The equation for the velocity of the center of mass of a system of particles is $v_{S_{CM}} = \frac{1},{M} \sum_{i=1}^{n} m_i v_{i}$, where $M$ is the total mass of the system and $m_i$ is the mass of particle $i$.
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Which one of these is the correct equation for the velocity of the center of mass of a system of particles?
Which one of these is the correct equation for the velocity of the center of mass of a system of particles?
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What is the equation for net external force on a system of particles?
What is the equation for net external force on a system of particles?
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True or false: The net force on particle i in a system of particles is equal to the product of its mass and acceleration.
True or false: The net force on particle i in a system of particles is equal to the product of its mass and acceleration.
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True or false: If the center of mass of an isolated system consisting of two or more members is at rest, then the center of mass of the system remains at rest if there is no net force on the system.
True or false: If the center of mass of an isolated system consisting of two or more members is at rest, then the center of mass of the system remains at rest if there is no net force on the system.
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What is the equation for the acceleration of the center of mass of a system of particles?
What is the equation for the acceleration of the center of mass of a system of particles?
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True or false: The total linear momentum of a system of particles is equal to the total mass multiplied by the velocity of the center of mass.
True or false: The total linear momentum of a system of particles is equal to the total mass multiplied by the velocity of the center of mass.
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What is the equation for the net force on particle i in a system of particles?
What is the equation for the net force on particle i in a system of particles?
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Which equation represents the net external force on a system of particles?
Which equation represents the net external force on a system of particles?
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Which equation represents the acceleration of the center of mass of a system of particles?
Which equation represents the acceleration of the center of mass of a system of particles?
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Which equation represents the impulse imparted to a system of many particles by external forces?
Which equation represents the impulse imparted to a system of many particles by external forces?
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Which equation represents the isolated system model for momentum of a system of many particles?
Which equation represents the isolated system model for momentum of a system of many particles?
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What is the condition for the center of mass of an isolated system to remain at rest?
What is the condition for the center of mass of an isolated system to remain at rest?
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What is the equation for the total linear momentum of a system of particles?
What is the equation for the total linear momentum of a system of particles?
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What is the equation that relates impulse and momentum for a system of many particles?
What is the equation that relates impulse and momentum for a system of many particles?
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