Question

use the table to answer the question.
the table shows the acceleration of an object pulled with various forces.
a student records the mass of objects a, b, c, and d. then the velocity of each object is measured using a track and timer. does object a, b, c, or d have the greatest momentum?
(1 point)
a
d
c
b

Explanation:

Step1: Calculate momentum for object A

Momentum formula \(p = mv\). For object A: \(m = 0.005\space kg\), \(v=10\space m/s\). So \(p_A=0.005\times10 = 0.05\space kg\cdot m/s\)

Step2: Calculate momentum for object B

For object B: \(m = 0.008\space kg\), \(v = 5\space m/s\). So \(p_B=0.008\times5=0.04\space kg\cdot m/s\)

Step3: Calculate momentum for object C

For object C: \(m = 0.010\space kg\), \(v = 3\space m/s\). So \(p_C=0.010\times3 = 0.03\space kg\cdot m/s\)

Step4: Calculate momentum for object D

For object D: \(m = 0.003\space kg\), \(v = 15\space m/s\). So \(p_D=0.003\times15=0.045\space kg\cdot m/s\)

Answer:

A. \(0.05\space kg\cdot m/s\) (Object A)
B. \(0.04\space kg\cdot m/s\) (Object B)
C. \(0.03\space kg\cdot m/s\) (Object C)
D. \(0.045\space kg\cdot m/s\) (Object D)

Since \(0.05>0.045 > 0.04>0.03\), the object with the greatest momentum is A.