Physics: Object a has mass ma = 8 kg and initial momentum pa,i = 15, -8, 0 kg · m/s, just before it strikes object b, which has mass mb = 11 kg. just before the collision object b has initial momentum pb,i = 2, 7, 0 kg · m/s. a) consider a system consisting of both objects a and b. what is the total initial momentum of this system, just before the collision? b) the forces that a and b exert on each other are very large but last for a very short time. if we choose a time interval from just before to just

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Object a has mass ma = 8 kg and initial momentum - id83972143, QuestionsAnsweredNow

hibbo579

11.01.2022

<17, - 1, 0>

0 Ns

<17, - 1, 0>

<4, - 5, 0>

Explanation:

$p_{A,i}$ = initial momentum of object A = 15 i - 8 j + 0 k

$p_{B,i}$ = initial momentum of object B = 2 i + 7 j + 0 k

Total initial momentum of the system is given as the sum of initial momenta of A and B , hence

$p_{i}$ = $p_{A,i}$ + $p_{B,i}$

$p_{i}$ = (15 i - 8 j + 0 k) + (2 i + 7 j + 0 k)

$p_{i}$ = 17 i - j + 0 k

$F_{ext}$ = Net external force on the two objects = 0 N

= duration of the collision

= Impulse

Impulse is given as

$I = F_{ext} t \\I = (0) t \\I = 0 Ns$

$p_{f}$ = final momentum of the system

we know that the Impulse is nothing but change in momentum of the system of objects, hence

$I = p_{f} - p_{i}\\0 = p_{f} - p_{i}\\p_{f} = p_{i}$

$p_{f}$ = 17 i - j + 0 k

$p_{A,f}$ = final momentum of object A = 13 i + 4 j + 0 k

$p_{B,f}$ = final momentum of object B = ?

Total final momentum of the system is given as

$p_{f} = p_{A,f} + p_{B,f}$

17 i - j + 0 k = ( 13 i + 4 j + 0 k ) + $p_{B,f}$

$p_{B,f}$ = 4 i - 5 j + 0 k

So final momentum of the object is <4, - 5, 0>

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