Four people A,B,C and D of masses 7,9,5 and 13 (in kg) respectively are moving with their respective velocities in the ratio 4:3:5:2. who will have the highest momentum?
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Hello Dear,
◆ Answer -
A will have maximum momentum.
◆ Explanation -
# Given -
mA = 7 kg
mB = 9 kg
mC = 5 kg
mD = 13 kg
vA:vB:vC:vD = 4:3:5:2
# Solution -
Momentum is given by formula -
p = m.v
So ratio of momentum of all persons will be -
pA : pB : pC : pD = mAvA : mBvB : mCvC : mDvD
pA : pB : pC : pD = 7×4 : 9×3 : 5×5 : 13×2
pA : pB : pC : pD = 28 : 27 : 25 : 26
From this, we can say that A will have maximum momentum.
Thanks dear.
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