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. The student claims that box 1 must have a smaller mass than box 2. Which argument best supports the student's claim?(1 point) Responses Lighter objects need greater force than heavier objects to start moving but will accelerate at the same rate. Lighter objects need greater force than heavier objects to start moving but will accelerate at the same rate. Lighter objects need less force than heavier objects to start moving but will accelerate at the same rate. Lighter objects need less force than heavier objects to start moving but will accelerate at the same rate. Heavier objects need less force than lighter objects to accelerate at the same rate. Heavier objects need less force than lighter objects to accelerate at the same rate. Heavier objects need greater force than lighter objects to 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. The student claims that box 1 must have a smaller mass than box 2. Which argument best supports the student's claim?(1 point) Responses Lighter objects need greater force than heavier objects to start moving but will accelerate at the same rate. Lighter objects need greater force than heavier objects to start moving but will accelerate at the same rate. Lighter objects need less force than heavier objects to start moving but will accelerate at the same rate. Lighter objects need less force than heavier objects to start moving but will accelerate at the same rate. Heavier objects need less force than lighter objects to accelerate at the same rate. Heavier objects need less force than lighter objects to accelerate at the same rate. Heavier objects need greater force than lighter objects to accelerate at the same rate.

Answer 1

The argument that best 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.

This argument suggests that box 1 (with a smaller mass) requires less force to start moving compared to box 2 (with a larger mass) but will still accelerate at the same rate.

Answer 3

The correct response is: "Lighter objects need less force than heavier objects to start moving but will accelerate at the same rate."

To understand why this is the best argument supporting the student's claim, let's break down the relationship between force, mass, and acceleration.

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. The equation that represents this relationship is:

F = m * a

Where:
- F is the net force applied to the object,
- m is the mass of the object, and
- a is the acceleration of the object.

In the given scenario, the student applies the same force of 40 N to both Box 1 and Box 2. However, Box 1 experiences an acceleration of 10 m/s^2, and Box 2 experiences an acceleration of 5 m/s^2.

Since the force applied is the same, we can rearrange the equation to solve for mass:

m = F / a

Using this equation, we can determine that:

- For Box 1, m = 40 N / 10 m/s^2 = 4 kg
- For Box 2, m = 40 N / 5 m/s^2 = 8 kg

From these calculations, we can see that Box 1 has a smaller mass (4 kg) than Box 2 (8 kg).

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