Question

A small car with a mass of 800 kg travels northward at 29 m/s. Does the car have more or less momentum than a truck with a mass of 12000 kg traveling eastward at 17 m/s? more correct less Correct: Your answer is correct. How much more or less?

A small car with a mass of 800 kg travels northward at 29 m/s.
Does the car have more or less momentum than a truck with a mass of 12000 kg traveling eastward at 17 m/s?
more
less

How much more or less?

Answer 1

Momentum (`vecp`) is givn by

`vecp = mvecv`

1. Momentum of car `= "800 kg" × "29 m/s North" = "23200 kgm/s North"`

2. Momentum of truck `= "12000 kg × 17 m/s East" = "204000 kgm/s East"`

∴ Momentum of car `<` Momentum of truck

`vecp_"truck" - vecp_"car" = "204000 kgm/s" - "23200 kgm/s" = "180800 kg m/s"`

Momentum of car is less by `"180800 kg m/s"`

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`vecp_"truck"/vecp_"car" = "204000 kgm/s"/"23200 kgm/s" = 8.79`

`underline(vecp_"truck" = 8.79 × vecp_"car")`