Question

A cardinal (Richmondena cardinalis) of mass 4.00×10−2 kg and a baseball of mass 0.146 kg have the same kinetic energy. What is the ratio of the cardinal's magnitude pc of momentum to the magnitude pb of the baseball's momentum? View Available Hint(s)

Answer 1

Answer:

0.5232

Explanation:

the cardinal and the baseball has the same kinetic energy

$\frac{1}{2} m_{c} v_{c} ^{2} = \frac{1}{2} m_{b} v_{b} ^{2}$

$m_{c}v_{c}^{2} = m_{b}v_{b}^{2}$

$[4.0X 10^{-2} ]v_{c} ^{2} = [0.146]v_{b} ^{2}$

$\frac{v_{c} }{v_{b} } = \sqrt{\frac{0.146}{4.0 X 10^{-2} } }$

$\frac{v_{c} }{v_{b} } = 1.910$

Ratio of momentum

$\frac{p_{c}}{p_{b}} = \frac{m_{c}v_{c}}{m_{b}v_{b}} = \frac{ (4.0 X 10^{-2} )(1.910v_{b} )}{0.146v_{b} }$

$\frac{p_{c}}{p_{b}} = \frac{4.0 X 10 ^{-2} X 1.910 }{0.146} = 0.5232$