Question

the velocities and masses of four objects are listed in the table below. which object has the greatest momentum?

object velocity (m/s) mass (kg)
w 9 14
x 10 14
y 11 12
z 12 12

a object w
b object x
c object y
d object z

Explanation:

Step1: Recall momentum formula

Momentum \( p = mv \), where \( m \) is mass (kg) and \( v \) is velocity (m/s).

Step2: Calculate momentum for Object W

\( p_W = 14 \times 9 = 126 \) kg·m/s.

Step3: Calculate momentum for Object X

\( p_X = 14 \times 10 = 140 \) kg·m/s.

Step4: Calculate momentum for Object Y

\( p_Y = 12 \times 11 = 132 \) kg·m/s.

Step5: Calculate momentum for Object Z

\( p_Z = 12 \times 12 = 144 \) kg·m/s.

Step6: Compare momenta

\( 126 < 132 < 140 < 144 \), so Object Z has the greatest momentum.

Answer:

D. Object Z