A student is investigating acceleration and force. The student rolls five balls of different masses and records her observations in the table shown
Ball Mass (kg)
1
2 3
4
10 15
20
25
Force (N) Acceleration (m/s)
50
100
150
200
250
10
10 10
10
10
What claim can the student make about the inertia of the balls?
O
Ball 5 has the least inertia.
All the balls have the same inertia
Ball 5 has the greatest inertia Ball 1 has the greatest inertia
2
3
5
6
The student can claim that the inertia of the balls is directly proportional to their mass. This is demonstrated by the fact that the balls with greater mass also have greater inertia, as evidenced by their lower acceleration when the same force is applied.
Well, it's clear that gravity had a heavy hand in creating this table. It looks like the student rolled a few balls of different masses and saw how much force it took to accelerate them. Now, the claim the student can make about the inertia of the balls is that more massive balls have greater inertia. We can see that as the mass of the balls increases, the force required to accelerate them also increases. So, ball 5 with a mass of 25kg would have the greatest inertia. So, the claim is that ball 5 has the greatest inertia, and no, ball 1 certainly doesn't hold that title. Good luck trying to move ball 5, it's got some serious staying power!
To determine the claim about the inertia of the balls, we need to consider the relationship between mass, force, and acceleration. Inertia is the property of an object to resist changes in its motion, and it is directly related to its mass.
Looking at the data provided, we can observe that as the mass of the balls increases, the force required to achieve the same acceleration also increases. This is evident in the table, where the force remains constant at 10 N, while the acceleration decreases as the mass increases.
Based on this information, the student can claim that the balls with greater mass have greater inertia. Therefore, the correct claim is:
Ball 5 has the greatest inertia. (Choice 5)
To determine the claim about the inertia of the balls, the student needs to analyze the data in the table.
Inertia is a property of matter that describes an object's resistance to changes in its motion. It depends on the mass of the object.
Looking at the table, the student recorded the force applied (in Newtons) and the resulting acceleration (in meters per second squared) for five different balls of different masses (in kg).
To determine the inertia, the student can use Newton's second law of motion, which states that the force experienced by an object is equal to the mass of the object multiplied by its acceleration (F = m * a).
In this case, the force and acceleration are constant, so the equation simplifies to F = m * a, where F is the force, m is the mass, and a is the acceleration.
By rearranging the equation, the student can solve for the mass: m = F / a.
Using this formula, the student can calculate the mass for each ball by dividing the force recorded for each ball by the acceleration.
Once the mass of each ball is determined, the student can analyze the results to make a claim about the inertia of the balls.
By comparing the masses of the balls, the student can identify which ball has the highest or lowest mass, which will provide information about their inertia.
After analyzing the data, the student can conclude that Ball 5 has the greatest inertia, as it has the highest mass (25 kg). Ball 1 has the least inertia, as it has the lowest mass (1 kg).
Therefore, the claim the student can make about the inertia of the balls is:
Ball 5 has the greatest inertia.
Ball 1 has the least inertia.