Six similar boxes (A–F) are initially sliding in the positive direction along a
ID: 1401567 • Letter: S
Question
Six similar boxes (A–F) are initially sliding in the positive direction along a frictionless horizontal surface at a speed of 10 m/s. Then a net horizontal force, also in the positive direction, is applied to each box for a period of 10 seconds. The masses of the boxes and the net horizontal force for each case are given below.
Rank the boxes in order of increasing FINAL momentum. That is, put first the box with the smallest final momentum, and put last the box with the largest final momentum.
If B is smallest, then A, C, D, and finally E is largest, enter BACDE.
Note: if final momenta are equal, then enter those cases in the order listed.
A) F = 55 N. . . . . . M = 5 kg
B) F = 95 N. . . . . . M = 20 kg
C) F = 50 N. . . . . . M = 15 kg
D) F = 70 N. . . . . . M = 20 kg
E) F = 110 N. . . . . . M = 15 kg
F) F = 100 N. . . . . . M = 10 kg
Explanation / Answer
from newtons law
Force = rate of change in momentum
F = (P2 - P1)/t
P2 = F*t + P1
P2 = F*t +m1*v1
A)
P2A = (55*10)+(5*10) = 600 kg m/s
B)
P2B = (95*10)+(20*10) = 1150 kg m/s
C)
P2C = (50*10)+(15*10) = 650 kg m/s
D)
P2D = (70*10)+(20*10) = 900m kg m /s
E)
P2E = (110*10)+(15*10) = 1250 kg m/s
F)
P2F = (100*10)+(10*10) = 1100 kg m/s
A C D F B E <<--answer
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