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
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.
To determine which box will have the greatest acceleration, we need to use Newton's second law of motion, which states that acceleration is directly proportional to the net force applied to an object and inversely proportional to its mass. The formula for this relationship is:
a = F / m
Where "a" is the acceleration, "F" is the force applied, and "m" is the mass of the object. We can calculate the acceleration for each box given the force and mass provided.
Let's calculate the acceleration for each box:
A. a = 60 N / 10 kg = 6 m/s²
B. a = 60 N / 20 kg = 3 m/s²
C. a = 40 N / 20 kg = 2 m/s²
D. a = 40 N / 10 kg = 4 m/s²
Based on these calculations, box A with a mass of 10 kg and a force of 60 N will have the greatest acceleration at 6 m/s². Therefore, the correct answer is A.
To determine which box will have the greatest acceleration, we can use Newton's second law of motion, which states that acceleration is directly proportional to the net force applied and inversely proportional to the mass.
Acceleration = Net force / Mass
Let's calculate the acceleration for each box:
A. a 10 kg box lifted with 60 N of force:
Acceleration = 60 N / 10 kg = 6 m/s²
B. a 20 kg box lifted with 60 N of force:
Acceleration = 60 N / 20 kg = 3 m/s²
C. a 20 kg box lifted with 40 N of force:
Acceleration = 40 N / 20 kg = 2 m/s²
D. a 10 kg box lifted with 40 N of force:
Acceleration = 40 N / 10 kg = 4 m/s²
Comparing the accelerations, we see that box A, a 10 kg box lifted with 60 N of force, will have the greatest acceleration with 6 m/s².