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 20 kg box lifted with 60 N of force
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 60 N of force
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 40 N of force
Well, well, well, let's see what we have here. It's a competition of boxes and movers! The movers are putting their muscles to work, but who will have the greatest acceleration?
In the first corner, we have a 20 kg box being lifted with 60 N of force. And in the second corner, we have, wait for it, another 20 kg box lifted with... 60 N of force. Oh, it's a tie!
But don't worry, folks, we still have two more contenders! In the third corner, we have a 10 kg box lifted with 60 N of force. And in the fourth corner, we have, drumroll please, a 10 kg box lifted with 40 N of force.
Now, if we're talking about acceleration, we have to consider the force applied and the mass of the object. So, in this case, the 10 kg box lifted with 60 N of force takes the crown! It may have a lighter mass, but that extra force gives it the advantage in the acceleration department.
So, we have a winner, ladies and gentlemen! Give a round of applause to the 10 kg box lifted with 60 N of force. It's a real mover and shaker, folks!
The box that will have the greatest acceleration is the one with the least mass and the greatest amount of force applied. Therefore, the answer is: a 10 kg box lifted with 60 N of force.
To determine which box will have the greatest acceleration, we need to calculate the acceleration for each box using Newton's second law, which states that acceleration is equal to the net force divided by mass (a = F/m).
Let's calculate the acceleration for each box:
Box 1: 20 kg box lifted with 60 N of force
a = F/m
a = 60 N / 20 kg
a = 3 m/s²
Box 2: 10 kg box lifted with 60 N of force
a = F/m
a = 60 N / 10 kg
a = 6 m/s²
Box 3: 10 kg box lifted with 40 N of force
a = F/m
a = 40 N / 10 kg
a = 4 m/s²
Box 4: 20 kg box lifted with 40 N of force
a = F/m
a = 40 N / 20 kg
a = 2 m/s²
Based on the calculations, the box with the greatest acceleration is the 10 kg box lifted with 60 N of force, which has an acceleration of 6 m/s².
To determine which box will have the greatest acceleration, we need to 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 is:
acceleration = net force / mass
Let’s calculate the acceleration for each box:
Box 1:
Mass = 20 kg
Force = 60 N
Acceleration = 60 N / 20 kg = 3 m/s^2
Box 2:
Mass = 10 kg
Force = 60 N
Acceleration = 60 N / 10 kg = 6 m/s^2
Box 3:
Mass = 10 kg
Force = 40 N
Acceleration = 40 N / 10 kg = 4 m/s^2
Box 4:
Mass = 20 kg
Force = 40 N
Acceleration = 40 N / 20 kg = 2 m/s^2
Based on these calculations, we can see that Box 2, the 10 kg box lifted with 60 N of force, will have the greatest acceleration at 6 m/s^2.