Four movers pick up boxes. Each box has a different mass, and each mover applies a different amount of force to lift the box. Which box will have the greatest acceleration?(1 point)
Responses
a 20 kg box lifted with 40 N of force
a 20 kg box lifted with 40 N of force
a 10 kg box lifted with 40 N of force
a 10 kg box lifted with 40 N of force
a 20 kg box lifted with 60 N of force
a 20 kg box lifted with 60 N of force
a 10 kg box lifted with 60 N of force
a 10 kg box lifted with 60 N of force
The box with the greatest acceleration will be the one with the greatest net force acting upon it.
Using Newton's second law, force is equal to mass multiplied by acceleration (F = ma).
Therefore, to determine the acceleration for each box, we divide the force by the mass:
a = F/m
For the given options:
- For the first option, a = 40 N / 20 kg = 2 m/s²
- For the second option, a = 40 N / 10 kg = 4 m/s²
- For the third option, a = 60 N / 20 kg = 3 m/s²
- For the fourth option, a = 60 N / 10 kg = 6 m/s²
Therefore, the box with a mass of 10 kg and lifted with 60 N of force will have the greatest acceleration.