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. a 20 kg box lifted with 60 N of force
B. a 20 kg box lifted with 40 N of force
C. a 10 kg box lifted with 40 N of force
D. a 10 kg box lifted with 60 N of force
The greatest acceleration will be the result of the greatest net force applied to the box. Net force is calculated by subtracting the force of gravity from the applied force.
For option A, the net force is 60 N - (20 kg * 9.8 m/s^2) = 60 N - 196 N = -136 N.
For option B, the net force is 40 N - (20 kg * 9.8 m/s^2) = 40 N - 196 N = -156 N.
For option C, the net force is 40 N - (10 kg * 9.8 m/s^2) = 40 N - 98 N = -58 N.
For option D, the net force is 60 N - (10 kg * 9.8 m/s^2) = 60 N - 98 N = -38 N.
Since acceleration is calculated by dividing the net force by the mass of the object (acceleration = net force / mass), we can see that the box with the greatest acceleration is option B, a 20 kg box lifted with 40 N of force.