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Force and momentum (Momentum and impulse (Momentum (mass X velocity, The…
Force and momentum
Momentum and impulse
Momentum
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For an object of mass m moving at velocity v, its momentum p = mv
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If m is constant, then
F = mΔv/Δt = ma
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Impact forces
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Rebound impacts
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If there is no loss of speed on impact, the v = u, so
F = -2mu/t
Conservation of momentum
Newton's third law of motion
When two objects interact, they exert equal and opposite forces on each other
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Explosions
When two objects fly apart after being initially at rest, they recoil from each other in opposite directions with equal and opposite amounts of moments
The total initial momentum = 0
The total momentum immediately after the explosion
=momentum of A + momentum of B
=mAvA + mBvB
Using the principle of the conservation of momentum, mAvA + mBvB = 0
∴ mBvB = -mAvA