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 40 N of force
a 10 kg box lifted with 40 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
To determine which box will have the greatest acceleration, we can use Newton's second law of motion, which states:
\( F = ma \)
where \( F \) is the force applied, \( m \) is the mass of the object, and \( a \) is the acceleration of the object.
We can rearrange this equation to solve for acceleration:
\( a = \frac{F}{m} \)
Now let's calculate the acceleration for each box:
1. \( a_{20kg, 60N} = \frac{60N}{20kg} = 3 \frac{m}{s^2} \)
2. \( a_{10kg, 40N} = \frac{40N}{10kg} = 4 \frac{m}{s^2} \)
3. \( a_{20kg, 40N} = \frac{40N}{20kg} = 2 \frac{m}{s^2} \)
4. \( a_{10kg, 60N} = \frac{60N}{10kg} = 6 \frac{m}{s^2} \)
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.