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)
Responses
a 10 kg box lifted with 40 N of force
a 10 kg box lifted with 40 N of force
a 20 kg box lifted with 60 N of force
a 20 kg box lifted with 60 N of force
a 20 kg box lifted with 40 N of force
a 20 kg box lifted with 40 N of force
a 10 kg box lifted with 60 N of force
The greatest acceleration will be experienced by the box with the lowest mass and the greatest force applied to it. Therefore, the box with a mass of 10 kg and lifted with 60 N of force will have the greatest acceleration.
To determine which box will have the greatest acceleration, we need to calculate the acceleration for each box using Newton's second law of motion:
acceleration = force / mass
Let's calculate the acceleration for each box:
a) For the 10 kg box lifted with 40 N of force:
acceleration = 40 N / 10 kg = 4 m/s²
b) For the 20 kg box lifted with 60 N of force:
acceleration = 60 N / 20 kg = 3 m/s²
c) For the 20 kg box lifted with 40 N of force:
acceleration = 40 N / 20 kg = 2 m/s²
d) For the 10 kg box lifted with 60 N of force:
acceleration = 60 N / 10 kg = 6 m/s²
Therefore, the 10 kg box lifted with 60 N of force will have the greatest acceleration with a value of 6 m/s².
To determine which box will have the greatest acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
The formula for calculating acceleration (a) is:
a = F/m
where F is the force applied and m is the mass of the object.
Let's calculate the accelerations for each box:
For the first option:
Mass (m) = 10 kg
Force (F) = 40 N
a = F/m = 40 N / 10 kg = 4 m/s^2
For the second option:
Mass (m) = 20 kg
Force (F) = 60 N
a = F/m = 60 N / 20 kg = 3 m/s^2
For the third option:
Mass (m) = 20 kg
Force (F) = 40 N
a = F/m = 40 N / 20 kg = 2 m/s^2
For the fourth option:
Mass (m) = 10 kg
Force (F) = 60 N
a = F/m = 60 N / 10 kg = 6 m/s^2
Comparing the calculated accelerations, we can see that the box with the greatest acceleration is the one lifted with a 60 N force and a mass of 10 kg.
Therefore, the correct answer is:
a 10 kg box lifted with 60 N of force