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tiny-mole [99]
3 years ago
13

A cardinal (Richmondena cardinalis) of mass 4.20×10−2 kg and a baseball of mass 0.146 kg have the same kinetic energy. What is t

he ratio of the cardinal's magnitude pc of momentum to the magnitude pb of the baseball's momentum?
Physics
1 answer:
bekas [8.4K]3 years ago
6 0

Explanation:

It is given that,

Mass of cardinal,m_c=4.2\times 10^{-2}\ kg

Mass of baseball, m_b=0.146\ kg

Both cardinal and baseball have same kinetic energy. We need to find the ratio of the cardinal's magnitude p_c of momentum to the magnitude p_c of the baseball's momentum.

E_c=E_b

Kinetic energy is given by, E=\dfrac{p^2}{2m}

\dfrac{p_c^2}{2m_c}=\dfrac{p_b^2}{2m_b}

(\dfrac{p_c}{p_b})^2=\dfrac{m_c}{m_b}

\dfrac{p_c}{p_b}=\sqrt{\dfrac{m_c}{m_b}}

\dfrac{p_c}{p_b}=\sqrt{\dfrac{4.2\times 10^{-2}}{0.146}}

So, \dfrac{p_c}{p_b}=\dfrac{53}{100}

So, the ratio of cardinal's magnitude of momentum to the magnitude of the baseball's momentum is 53 : 100

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