A child does a 12 j of work pushing his 3kg toy truck with what velocity does the toy move after the child done pushing

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03-03-2016
Physics

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A child does a 12 j of work pushing his 3kg toy truck with what velocity does the toy move after the child done pushing

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AL2006 AL2006 · Answer 1 · 2016-03-03T17:58:16+01:00

We have to assume that the truck was not moving
before he started pushing it.

After he did 12 J of work pushing it, the truck had
12 J of kinetic energy.

   Kinetic energy = (1/2) (mass) (speed²)

    12 J      = (1/2) (3 kg) (speed²)

Divide each side by 1.5 kg : 12J / 1.5 kg = speed²

1 J = 1 newton-meter    (12 kg-m²/sec²) / (1.5 kg) = speed²
= 1 kg-m² / sec²
   (12 / 1.5) ( m²/sec²) = speed²

   Speed = √(8 m²/s²)

   Speed =   2.83 m/s .

We can't say anything about velocity, because we don't know
anything about the direction in which the truck is moving.