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3 years ago

8

Assuming that the uncertainty in mass is negligible, and the uncertainty in velocity is 5 %, what is the uncertainty in the mome

ntum of your two-cart system?

1 answer:

Flura [38]3 years ago

8 0

Answer:

Δp = 0.05 p

Explanation:

The moment is

p = m v

The uncertainty of the moment is

Δp = dp/dm Δm + dp/dv Δv

Like the uncertainty in the mass is zero

Δm = 0

ΔP = m Δv

We divide for the moment

Δp / p = Δv / v

They do not indicate that Δv / v = 0.05

Δp / p = 0.05

Δp = 0.05 p

In the case of a system consisting of two cars

p = m₁ v₁ + m₂ v₂

Δp = dp / dv₁ Δv₁ + dp / dv₂ Δv₂

Δp = m₁ Δv₁ + m₂ Δv₂

Δv₁ / v₁ = 0.05

Δv₁ = 0.05 v₁

Δv₂ / v₂ = 0.05

Δv₂ = 0.05 v₂

We replace

Δp = m₁ 0.05 v₁ + m₂ 0.05 v₂

Δp = 0.05 p

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$H=h+\Delta x$

$H=8.9129+0.0476$

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