Question

aboy drops his toy off the bunk bed the distance to the flooris 2.5m it takes one second to reach the floor gravity accelerate objects on earthat 9.8m/s2 the earth s gravity applies 50 newton of force to they toy what isthe toys mass

Answer 1

5.1 kg

Explanation:

You want to know the mass of a toy if acceleration due to Earth's gravity results in a force of 50 N being applied to the toy.

Force

The relevant relation between force, mass, and acceleration is ...

F = ma

m = F/a = (50 N)/(9.8 m/s²) ≈ 5.1 kg

The mass of the toy is about 5.1 kg.

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Additional comment

If the only force on the toy is gravity, the time it takes to fall a distance d is ...

t = √(2d/g)

For a distance of 2.5 m, that air time is ...

t = √(2·2.5 m/9.8 m/s²) ≈ 0.714 s . . . . not 1 second.

For the toy to take 1 s to fall 2.5 m, the acceleration is 5 m/s², not 9.8 m/s².

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