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Two identical ice hockey pucks, labeled A and B, are sliding toward each other at speed v. Which one of the following statements is true concerning their momenta and kinetic energies?

a. p(A) = p(B) and KEA= KEB
b. pA= - pB and KEA= -KEB
c. pA= -pB and KEA= KEB
d. pa= pb and KEA =- KEB

Sagot :

Xero099idn

Answer:

C. [tex]p_{A} = -p_{B}[/tex] and [tex]K_{A} = K_{B}[/tex].

Explanation:

The two hockey pucks travels in opposite sides with velocities of same magnitude, by definitions of linear momentum and translational kinetic energy:

Linear momentum

Hockey puck A

[tex]p_{A} = m\cdot v[/tex] (1)

Hockey puck B

[tex]p_{B} = -m\cdot v[/tex] (2)

[tex]p_{A} = -p_{B}[/tex]

Translational kinetic energy

Hockey puck A

[tex]K_{A} = \frac{1}{2}\cdot m\cdot (v)^{2}[/tex]

[tex]K_{A} = \frac{1}{2}\cdot m \cdot v^{2}[/tex] (3)

Hockey puck B

[tex]K_{B} = \frac{1}{2}\cdot m\cdot (-v)^{2}[/tex]

[tex]K_{B} = \frac{1}{2}\cdot m \cdot v^{2}[/tex] (4)

[tex]K_{A} = K_{B}[/tex]

Hence, the correct answer is C.

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