A block with mass m is sliding with speed v0 on a surface that is so slippery it can be considered to be frictionless.  The sliding block collides with a second stationary block with mass 4m.  Both blocks stick together and continue sliding with speed v.  Take both blocks to be the "system" and assume that no net external force acts on it.  So, the momentum of the system is conserved (constant).

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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) A block with mass m is sliding with speed v0 on a surface that is so slippery it can be considered to be frictionless.  The sliding block collides with a second stationary block with mass 4m.  Both blocks stick together and continue sliding with speed v.  Take both blocks to be the "system" and assume that no net external force acts on it.  So, the momentum of the system is conserved (constant).

(a) What is v in terms of v0? [answer: v = v0 /5]

(b) What is the initial kinetic energy of the system (Ki) in terms of m and v0? [answer: Ki = ½ mv02]

(c) What is the final kinetic energy of the system (Kf) expressed as a fraction of Ki? [answer:  ]

(d) What is the change in kinetic energy of the system (DK) ex

) A block with mass m is sliding with speed v0 on a surface that is so slippery it can be considered to be frictionless.  The sliding block collides with a second stationary block with mass 4m.  Both blocks stick together and continue sliding with speed v.  Take both blocks to be the "system" and assume that no net external force acts on it.  So, the momentum of the system is conserved (constant).

(a) What is v in terms of v0? [answer: v = v0 /5]

(b) What is the initial kinetic energy of the system (Ki) in terms of m and v0? [answer: Ki = ½ mv02]

(c) What is the final kinetic energy of the system (Kf) expressed as a fraction of Ki? [answer:  ]

(d) What is the change in kinetic energy of the system (DK) expressed as a fraction of Ki? [answer:  ]

(e) By what factor does the kinetic energy of the system change during the collision?  That is, what is the ratio Kf / Ki? [answer:  ]

(f) What percentage of Ki is lost to heat/sound energy during the collision? [answer: 80%]

(g) How much heat/sound energy (Q) is produced during the collision in terms of Ki? [answer: Q =  ]

pressed as a fraction of Ki? [answer:  ]

(e) By what factor does the kinetic energy of the system change during the collision?  That is, what is the ratio Kf / Ki? [answer:  ]

(f) What percentage of Ki is lost to heat/sound energy during the collision? [answer: 80%]

(g) How much heat/sound energy (Q) is produced during the collision in terms of Ki? [answer: Q =  ]

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