Question
In Step 6 “Analysis”, for Case 3, how does the Applied Force compare to the qua
of Mass times Acceleration?
The Applied Force is equal to the quantity of Mass times Acceleration?
The Applied Force is less than the quantity of Mass times Acceleration?
The Applied Force is equal and opposite to the quantity of Mass times
Acceleration?
The Applied Force is greater than the quantity of Mass times Acceleration?
of Mass times Acceleration?
The Applied Force is equal to the quantity of Mass times Acceleration?
The Applied Force is less than the quantity of Mass times Acceleration?
The Applied Force is equal and opposite to the quantity of Mass times
Acceleration?
The Applied Force is greater than the quantity of Mass times Acceleration?
Ask by Frazier Dawson. in the United States
Jan 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The Applied Force is equal to the quantity of Mass times Acceleration.
Solution
In Step 6: Analysis for Case 3, the relationship between the Applied Force (Fₐ) and the product of Mass (m) and Acceleration (a) is governed by Newton’s Second Law of Motion. This fundamental principle states:
Explanation:
-
Newton’s Second Law establishes that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
-
If we’re considering only the applied force with no other forces (like friction or air resistance) acting on the object, then:
-
This means that the Applied Force is directly equal to the quantity of Mass times Acceleration.
Therefore, the correct comparison is:
The Applied Force is equal to the quantity of Mass times Acceleration.
Answer:
The Applied Force is equal to the quantity of Mass times Acceleration.
The Applied Force is equal to the quantity of Mass times Acceleration.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
In Newton’s second law of motion, the relationship between force, mass, and acceleration reveals that the applied force is indeed equal to the mass of an object multiplied by its acceleration (F = ma) when considering motion in a straightforward way. However, in scenarios involving friction or resistance, the applied force may need to be greater to overcome those opposing forces.
When analyzing dynamics, common mistakes include neglecting all forces acting on an object. Remember to account for friction, air resistance, and other external forces, as they can dramatically influence the net force and the object’s acceleration, often leading to confusion in matching applied force with the product of mass and acceleration.