Question

4. Indicate which of the following has the greatest momentum: a 500 kg car

moving at 64 km/h, a 250 kg cart moving at 128 km/h, or a 1,000 kg truck
moving at 32 km/h. Explain your answer

Answer 1

Step-by-step explanation:

Given:

m₁ = 500 kg

v₁ = 64 km/h

m₂ = 250 kg

v₂ = 128 km/h

m₃ = 1000 kg

v₃ = 32 km/h

_____________

p max - ?

Nomtice, that:

m₂ = 250 kg;

m₁ = 500 kg = 2·m₂;

m₃ = 1 000 kg = 4·m₂

v₂ = 128 km/h;

v₁ = 64 km/h = v₂ / 2;

v₃ = 32 km/h = v₂ / 4;

Impulses

p₁ = m₁·v₁ = 2·m₂ · (v₂/2) = m₂·v₂

p₂ = m₂v₂

p₃ = m₃v₃ = 4m₂·(v₂/4) = m₂v₂

p₁ = p₂ = p₃

The impulses are the same!