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 ^ 4) * Z 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)
Heavier objects need greater force than lighter objects to 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.
Lighter objects need greater force than heavier objects to start moving but will accelerate at the same rate.
The argument that best supports the student's claim is:
Heavier objects need greater force than lighter objects to accelerate at the same rate.
The correct argument that supports the student's claim is: "Heavier objects need less force than lighter objects to accelerate at the same rate."
To determine which argument best supports the student's claim, we need to understand the relationship between force, mass, and acceleration.
According to Newton's second law of motion, the force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, we can represent this as:
Force (F) = Mass (m) × Acceleration (a)
In the given scenario, the student applies the same force of 40 N to both boxes. Let's compare the two situations:
For Box 1:
Force (F1) = 40 N
Acceleration (a1) = 10 m/(s^2)
For Box 2:
Force (F2) = 40 N
Acceleration (a2) = 5 m/(s^2)
We can rearrange the formula to solve for mass:
Mass (m) = Force (F) / Acceleration (a)
For Box 1:
Mass (m1) = F1 / a1 = 40 N / (10 m/(s^2)) = 4 kg
For Box 2:
Mass (m2) = F2 / a2 = 40 N / (5 m/(s^2)) = 8 kg
From the calculations, we can see that Box 1 has a smaller mass (4 kg) compared to Box 2 (8 kg). Therefore, the student's claim that Box 1 must have a smaller mass than Box 2 is supported by the argument:
Heavier objects need less force than lighter objects to accelerate at the same rate.
This argument aligns with the calculations, showing that Box 1 (the object with smaller mass) experiences a higher acceleration compared to Box 2 (the object with larger mass) when the same force is applied.
are u sure?
Apologies for the confusion in the previous response. The correct argument that supports the student's claim is:
"Heavier objects need greater force than lighter objects to accelerate at the same rate."
According to Newton's second law of motion, the force required to accelerate an object is directly proportional to its mass. This means that for a given acceleration, a heavier object requires a greater force to achieve that acceleration compared to a lighter object.
In the given scenario, both boxes are subjected to the same force of 40 N. However, Box 1 experiences a higher acceleration (10 m/(s^2)) compared to Box 2 (5 m/(s^2)), indicating that Box 1 has a smaller mass. Therefore, the best argument to support the student's claim is that heavier objects need greater force than lighter objects to accelerate at the same rate.