Question 2.
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 40 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 60 N of force
I chose B. I don't know. An explanation would be nice with this as well pls!
The answer is actually D, a 10 kg box lifted with 60 N of force. This is because acceleration is determined by the ratio of force and mass (Newton's second law). In other words, the greater the force applied to a given mass, the greater the acceleration.
Using the formula F=ma (force equals mass times acceleration), we can rearrange it to solve for acceleration: a=F/m.
For each box and force combination:
A. a=40 N/10 kg=4 m/s2
B. a=60 N/20 kg=3 m/s2
C. a=40 N/20 kg=2 m/s2
D. a=60 N/10 kg=6 m/s2
Therefore, option D has the greatest acceleration.
Thank you!
To determine which box will have the greatest acceleration, we can use the formula for acceleration:
acceleration = force / mass
Using this formula, we can calculate the acceleration for each box:
For option A, a 10 kg box lifted with 40 N of force:
acceleration = 40 N / 10 kg = 4 m/s^2
For option B, a 20 kg box lifted with 60 N of force:
acceleration = 60 N / 20 kg = 3 m/s^2
For option C, a 20 kg box lifted with 40 N of force:
acceleration = 40 N / 20 kg = 2 m/s^2
For option D, a 10 kg box lifted with 60 N of force:
acceleration = 60 N / 10 kg = 6 m/s^2
As we can see, the box with the greatest acceleration is option D, a 10 kg box lifted with 60 N of force.
To determine which box will have the greatest acceleration, we need to apply 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 for this is:
acceleration = net force / mass
Let's analyze each option:
A. a 10 kg box lifted with 40 N of force
acceleration = 40 N / 10 kg = 4 m/s^2
B. a 20 kg box lifted with 60 N of force
acceleration = 60 N / 20 kg = 3 m/s^2
C. a 20 kg box lifted with 40 N of force
acceleration = 40 N / 20 kg = 2 m/s^2
D. a 10 kg box lifted with 60 N of force
acceleration = 60 N / 10 kg = 6 m/s^2
Based on the calculations above, the correct answer is D. The 10 kg box lifted with 60 N of force will have the greatest acceleration of 6 m/s^2.