Question

A cardinal (Richmondena cardinalis) of mass 3.70×10−2 kg and a baseball of mass 0.144 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?

Answer 1

Step-by-step explanation:

Below is an attachment containing the solution.

Answer 2

`(p_(c))/(p_(b))\approx 0.507`

Step-by-step explanation:

Since the cardinal and ball have the same kinetic energy, it is possible to determine the ratio between speeds. (c for cardinal, b for baseball)

`K_(c) = K_(b)`

`(1)/(2)\cdot m_(c)\cdot v_(c)^(2)= (1)/(2)\cdot m_(b)\cdot v_(b)^(2)`

`(v_(c))/(v_(b))=\sqrt{(m_(b))/(m_(c)) }`

The ratio is obtained by multiplying each side by
`(m_(c))/(m_(b))`:

`(p_(c))/(p_(b))=(m_(c))/(m_(b))\cdot \sqrt{(m_(b))/(m_(c)) }`

`(p_(c))/(p_(b))= \sqrt{(m_(c))/(m_(b)) }`

The value of this ratio is:

`(p_(c))/(p_(b))\approx 0.507`