Answer:
pA/pB = 5.00
Explanation:
To find the ratio pA/pB you first calculate the velocities of both rocks just before they hit the ground. You use the following formula:
[tex]v^2=v_o^2+2gy[/tex] (1)
vo: initial velocity = 0
g: gravitational acceleration = 9.8m/s^2
y: height = 10m
The parameters y, g and vo are the same for both rocks, hence the velocity is the same, v = vA = vB. Next, it is not necessary to calculate the velocities because these are canceled in the ration for the momentum:
[tex]\frac{p_A}{p_B}=\frac{m_Av_A}{m_Bv_B}=\frac{m_A}{m_B}[/tex]
finally, you replace the values of the masses and you obtain:
[tex]\frac{p_A}{p_B}=\frac{m_A}{m_B}=\frac{5.0kg}{1.0kg}=5.0[/tex]
hence, the ratio is 5.0
