Part A:

A cardinal (Richmondena cardinalis) of mass 4.50×10^−2 kg and a baseball of mass 0.142 kg have the same kinetic energy. What is the ratio of the cardinal's magnitude p(c) of momentum to the magnitude p(b) of the baseball's momentum?

Part B:
A man weighing 650 N and a woman weighing 460 N have the same momentum. What is the ratio of the man's kinetic energy K(m) to that of the woman K(w)?

Part A: To find the ratio of the cardinal's momentum to the baseball's momentum, we first need to calculate the momentum of each object.

The momentum of an object is given by the formula: momentum (p) = mass (m) * velocity (v)

Since we are given the mass of the cardinal and the baseball, we need to find their velocities.

To find the velocity of the cardinal, we can use the equation of kinetic energy: kinetic energy (K) = (1/2) * mass * velocity^2

Since the cardinal and the baseball have the same kinetic energy, we can equate their kinetic energy equations:

(1/2) * m(c) * v(c)^2 = (1/2) * m(b) * v(b)^2

Simplifying, we get:

m(c) * v(c)^2 = m(b) * v(b)^2

Dividing both sides by v(b)^2, we get:

m(c) * (v(c)^2 / v(b)^2) = m(b)

Therefore, the ratio of the cardinal's momentum to the baseball's momentum is:

p(c) / p(b) = (m(c) * v(c)) / (m(b) * v(b))

To find the ratio, we need to know the velocities of both objects. If the velocities are not given, we cannot determine the ratio.

Part B: Similarly, to find the ratio of the man's kinetic energy to that of the woman, we first need to calculate their momenta.

The momentum of an object is given by the formula: momentum (p) = mass (m) * velocity (v)

Since we are given the weights of the man and the woman, we can calculate their masses using the formula: weight (W) = mass (m) * gravitational acceleration (g)

Therefore, we have:

m(m) * g = W(m)

m(w) * g = W(w)

Dividing both sides by gravitational acceleration, we get:

m(m) = W(m) / g

m(w) = W(w) / g

Now, we can calculate their momenta using the formula mentioned earlier.

The ratio of the man's momentum to the woman's momentum is:

p(m) / p(w) = (m(m) * v(m)) / (m(w) * v(w))

To find the ratio, we need to know the velocities of both the man and the woman. If the velocities are not given, we cannot determine the ratio.