Question

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 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

Answer 1

To find out which box will have the greatest acceleration, we need to calculate the net force for each box. The net force is the difference between the force applied and the force of gravity (mass x gravity):

A. Net force = 60 N - (10 kg x 9.8 m/s^2) = 0.2 N/kg
B. Net force = 60 N - (20 kg x 9.8 m/s^2) = -38 N/kg
C. Net force = 40 N - (20 kg x 9.8 m/s^2) = -60 N/kg
D. Net force = 40 N - (10 kg x 9.8 m/s^2) = 0.2 N/kg

Therefore, boxes A and D have the same net force, while boxes B and C have negative net forces. The acceleration of an object is directly proportional to the net force acting on it, according to Newton's Second Law. Therefore, boxes A and D will have the greatest acceleration, because they have the greatest net force.