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)

• 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 40 N of force
• a 20 kg box lifted with 40 N of force

1 answer

To find the acceleration of each box, we can use the formula F = ma, where F is the force applied, m is the mass of the box, and a is the acceleration.

For the first box:
F = 60 N
m = 20 kg

a = F/m
a = 60 N / 20 kg
a = 3 m/s^2

For the second box:
F = 60 N
m = 10 kg

a = F/m
a = 60 N / 10 kg
a = 6 m/s^2

For the third box:
F = 40 N
m = 10 kg

a = F/m
a = 40 N / 10 kg
a = 4 m/s^2

For the fourth box:
F = 40 N
m = 20 kg

a = F/m
a = 40 N / 20 kg
a = 2 m/s^2

Therefore, the second box (10 kg lifted with 60 N of force) will have the greatest acceleration at 6 m/s^2.