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 60 N of force a 10 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 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
The acceleration of an object is given by the formula F = ma, where F is the net force applied to the object, m is the mass of the object, and a is the acceleration.
In this case, we have four options:
1. A 10 kg box lifted with 60 N of force.
2. A 20 kg box lifted with 40 N of force.
3. A 20 kg box lifted with 60 N of force.
4. A 10 kg box lifted with 40 N of force.
To find the acceleration, we can rearrange the formula to a = F/m.
1. For the 10 kg box lifted with 60 N of force, the acceleration would be a = 60 N / 10 kg = 6 m/s^2.
2. For the 20 kg box lifted with 40 N of force, the acceleration would be a = 40 N / 20 kg = 2 m/s^2.
3. For the 20 kg box lifted with 60 N of force, the acceleration would be a = 60 N / 20 kg = 3 m/s^2.
4. For the 10 kg box lifted with 40 N of force, the acceleration would be a = 40 N / 10 kg = 4 m/s^2.
Therefore, the box with the greatest acceleration is the 10 kg box lifted with 60 N of force.
you sure
Apologies for the error. I made a mistake in my calculations. Let's review them again:
1. For the 10 kg box lifted with 60 N of force, the acceleration would be a = 60 N / 10 kg = 6 m/s^2.
2. For the 20 kg box lifted with 40 N of force, the acceleration would be a = 40 N / 20 kg = 2 m/s^2.
3. For the 20 kg box lifted with 60 N of force, the acceleration would be a = 60 N / 20 kg = 3 m/s^2.
4. For the 10 kg box lifted with 40 N of force, the acceleration would be a = 40 N / 10 kg = 4 m/s^2.
Actually, the 10 kg box lifted with 60 N of force would have the greatest acceleration, which is 6 m/s^2.
To determine which box will have the greatest acceleration, we need to calculate the acceleration using Newton's second law of motion, which states that force is equal to mass times acceleration (F = ma).
Let's calculate the acceleration for each case:
1. 10 kg box lifted with 60 N of force:
Acceleration = Force / Mass = 60 N / 10 kg = 6 m/s^2
2. 10 kg box lifted with 40 N of force:
Acceleration = Force / Mass = 40 N / 10 kg = 4 m/s^2
3. 20 kg box lifted with 60 N of force:
Acceleration = Force / Mass = 60 N / 20 kg = 3 m/s^2
4. 20 kg box lifted with 40 N of force:
Acceleration = Force / Mass = 40 N / 20 kg = 2 m/s^2
Based on the calculations, the 10 kg box lifted with 60 N of force will have the greatest acceleration at 6 m/s^2.
To determine which box will have the greatest acceleration, we need to compare the ratios of force to mass for each box. The formula for acceleration is a = F / m, where F is the force applied and m is the mass of the object.
Let's calculate the ratios of force to mass for each box:
1. For the first box (10 kg with 60 N of force):
F/m = 60 N / 10 kg = 6 N/kg
2. For the second box (10 kg with 40 N of force):
F/m = 40 N / 10 kg = 4 N/kg
3. For the third box (20 kg with 40 N of force):
F/m = 40 N / 20 kg = 2 N/kg
4. For the fourth box (20 kg with 60 N of force):
F/m = 60 N / 20 kg = 3 N/kg
From the ratios, we can see that the box with the greatest acceleration is the first box, which has a ratio of 6 N/kg.