A student is investigating mass and acceleration. The student applies the same force of 40 N force to two boxes that have the same size and shape. Box 1 experiences an acceleration of 10 m/s^2 and box 2 experiences an acceleration of 5m/s^2. %0D%0A%0D%0AThe student claims that box 1 must have a smaller mass than box 2. Which argument best supports the student's claim?(1 point)%0D%0AResponses%0D%0A%0D%0ALighter objects need greater force than heavier objects to start moving but will accelerate at the same rate.%0D%0ALighter objects need greater force than heavier objects to start moving but will accelerate at the same rate.%0D%0A%0D%0AHeavier objects need greater force than lighter objects to accelerate at the same rate.%0D%0AHeavier objects need greater force than lighter objects to accelerate at the same rate.%0D%0A%0D%0AHeavier objects need less force than lighter objects to accelerate at the same rate.%0D%0AHeavier objects need less force than lighter objects to accelerate at the same rate.%0D%0A%0D%0ALighter objects need less force than heavier objects to start moving but will accelerate at the same rate.

Question

A student is investigating mass and acceleration. The student applies the same force of 40 N force to two boxes that have the same size and shape. Box 1 experiences an acceleration of 10 m/s^2 and box 2 experiences an acceleration of 5m/s^2. %0D%0A%0D%0AThe student claims that box 1 must have a smaller mass than box 2. Which argument best supports the student's claim?(1 point)%0D%0AResponses%0D%0A%0D%0ALighter objects need greater force than heavier objects to start moving but will accelerate at the same rate.%0D%0ALighter objects need greater force than heavier objects to start moving but will accelerate at the same rate.%0D%0A%0D%0AHeavier objects need greater force than lighter objects to accelerate at the same rate.%0D%0AHeavier objects need greater force than lighter objects to accelerate at the same rate.%0D%0A%0D%0AHeavier objects need less force than lighter objects to accelerate at the same rate.%0D%0AHeavier objects need less force than lighter objects to accelerate at the same rate.%0D%0A%0D%0ALighter objects need less force than heavier objects to start moving but will accelerate at the same rate.

Answer 1

The best argument that supports the student's claim is that lighter objects need less force than heavier objects to start moving but will accelerate at the same rate.

Answer 2

The argument that best supports the student's claim is: "Lighter objects need less force than heavier objects to start moving but will accelerate at the same rate."

Answer 3

To determine which argument best supports the student's claim, we need to analyze the relationship between mass, force, and acceleration.

Newton's second law of motion states that the force acting on an object is equal to the mass of the object multiplied by its acceleration:

Force = Mass × Acceleration

In this scenario, the student applies a force of 40 N to both boxes. We know that the force is the same for both boxes.

If we rearrange the equation for Newton's second law, we get:

Mass = Force / Acceleration

To determine which box has a smaller mass, we need to compare their accelerations.

Box 1 experiences an acceleration of 10 m/s², and box 2 experiences an acceleration of 5 m/s².

Comparing the two accelerations, we can see that box 1 has a larger acceleration than box 2.

Substituting the given force of 40 N and the respective accelerations into the mass equation, we get:

Mass of box 1 = 40 N / 10 m/s² = 4 kg
Mass of box 2 = 40 N / 5 m/s² = 8 kg

Based on these calculations, we can conclude that the student's claim is supported by the argument: "Heavier objects need less force than lighter objects to accelerate at the same rate." The mass of box 1 is indeed smaller than the mass of box 2, which is why it has a greater acceleration than box 2 when the same force is applied.