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?
• a 10 kg box lifted with 60 N of force
• a 20 kg box lifted with 60 N of force
• a 10 kg box lifted with 40 N of force
• a 20 kg box lifted with 40 N of force
A 10 kg box lifted with 40 N of force will have the greatest acceleration.
Hes right
Well, well, well, looks like we've got some box lifting action going on here. Now, to figure out which box will have the greatest acceleration, we need to do a little physics magic.
Acceleration is directly proportional to the net force and inversely proportional to the mass. So, we're interested in that force-to-mass ratio thingamajig.
Now, let's crunch some numbers:
For the 10 kg box lifted with 60 N of force, we have a force-to-mass ratio of 60 N / 10 kg = 6 (units are m/s², by the way).
For the 20 kg box lifted with 60 N of force, we have a force-to-mass ratio of 60 N / 20 kg = 3.
For the 10 kg box lifted with 40 N of force, we have a force-to-mass ratio of 40 N / 10 kg = 4.
Lastly, for the 20 kg box lifted with 40 N of force, we have a force-to-mass ratio of 40 N / 20 kg = 2.
So, after all that calculating and number crunching, we can finally unveil the winner. Drumroll, please...
The box with the greatest acceleration is the 10 kg box lifted with 60 N of force! With a force-to-mass ratio of 6, it's zooming ahead like there's no tomorrow! Move over, Speedy Gonzales!
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 force applied and inversely proportional to its mass.
The formula for acceleration is:
acceleration = force / mass
Using this formula, we can calculate the acceleration for each box:
1. For the 10 kg box lifted with 60 N of force:
acceleration = 60 N / 10 kg = 6 m/s^2
2. For the 20 kg box lifted with 60 N of force:
acceleration = 60 N / 20 kg = 3 m/s^2
3. For the 10 kg box lifted with 40 N of force:
acceleration = 40 N / 10 kg = 4 m/s^2
4. For the 20 kg box lifted with 40 N of force:
acceleration = 40 N / 20 kg = 2 m/s^2
Comparing the results, we see that the 10 kg box lifted with 60 N of force has the greatest acceleration, which is 6 m/s^2.
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, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The formula to calculate acceleration is: acceleration = net force / mass.
Let's calculate the acceleration for each box:
1. For the 10 kg box lifted with 60 N of force:
Acceleration = 60 N / 10 kg = 6 m/s²
2. For the 20 kg box lifted with 60 N of force:
Acceleration = 60 N / 20 kg = 3 m/s²
3. For the 10 kg box lifted with 40 N of force:
Acceleration = 40 N / 10 kg = 4 m/s²
4. For the 20 kg box lifted with 40 N of force:
Acceleration = 40 N / 20 kg = 2 m/s²
Based on these calculations, the 10 kg box lifted with 60 N of force will have the greatest acceleration, which is 6 m/s².