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?

a a 10 kg box lifted with 60 N of force
b a 20 kg box lifted with 60 N of force
c a 20 kg box lifted with 40 N of force
d a 10 kg box lifted with 40 N of force

1 answer

To determine which box will have the greatest acceleration, we can use Newton's second law of motion: force = mass x acceleration.
Let's calculate the acceleration for each box:

a) For a 10 kg box lifted with 60 N of force:
Acceleration = Force / Mass = 60 N / 10 kg = 6 m/s^2

b) For a 20 kg box lifted with 60 N of force:
Acceleration = Force / Mass = 60 N / 20 kg = 3 m/s^2

c) For a 20 kg box lifted with 40 N of force:
Acceleration = Force / Mass = 40 N / 20 kg = 2 m/s^2

d) For a 10 kg box lifted with 40 N of force:
Acceleration = Force / Mass = 40 N / 10 kg = 4 m/s^2

Therefore, the box with the greatest acceleration is the 10 kg box lifted with 60 N of force (option a).