Meli asked in Science & MathematicsPhysics · 2 months ago

# Physics Inquiry?

So, say I had two boxes, one is lighter than the other. If I push on both boxes with the same force for the same amount of time, which one will have a greater final momentum(I have a hunch that their final momentum is the same since p = F * t, but it also doesn’t make sense to me that the masses don’t matter)

Relevance
• 2 months ago

take m₁ and m₂

acceleration = F/m

a₁ = F/m₁

a₂ = F/m₂

v = at

v₁ = a₁t = Ft/m₁

v₂ = a₂t = Ft/m₂

momentum P = mv

P₁ = m₁v₁ = Ftm₁/m₁ = Ft

P₂ = m₂v₂ = Ftm₂/m₂ = Ft

therefore P₁ = P₂ = Ft

bottom line, the lighter object has a higher velocity, so the mV product is constant.

• Meli2 months agoReport

So, does this mean that the final momentum is the same for both boxes?

• 2 months ago

p= Ft is not true. p2-p1 = J = Ft is true

Let the lighter mass be 'm'

Let the heavier mass be '2m'

p = mv

p1 = mv

p2 = 2mv

The momentum will be different, but the impulse will be the same