What Is the Magnitude of the Acceleration of the Mass?

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In summary, the problem involves two horizontal forces acting on a 11 kg mass - one with a magnitude of 8 N directed north and the other with a magnitude of 6 N directed east. To find the magnitude of acceleration, the net force is calculated by subtracting the east force from the north force. This results in a net force of 2 N. Using the equation F=ma, the acceleration is found to be 0.1818 m/s^2. To confirm this answer, the Pythagorean Theorem can be used to find the resultant of the two forces, which can then be divided by the mass to find the acceleration. In conclusion, the problem involves vector addition and the use of Newton's second law
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omgitsmonica
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Homework Statement



Two horizontal forces act on a 11 kg mass. One force has a magnitude of 8 N and is directed due north. The second force toward the east has a magnitude of 6 N. What is the magnitude of the acceleration of the mass?


Homework Equations



F=ma

a=F(net)/mass


The Attempt at a Solution



Force North = 8
Force East = 6

8-6=2, net force =2

a=2/11

a=.1818


I think that might be wrong, because I feel like there should be vectors or something involved?
 
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  • #2
I think there should be vectors involved. Find the magnitude of a vector 8N going N and 6N going east--Pythagorean Theorem. Then when you found the resultant of those two forces, take this force and divide it by the mass (11kg); thereby, giving you the acceleration.
 
  • #3
I know this might be a random question. But where did you get this question??
 

FAQ: What Is the Magnitude of the Acceleration of the Mass?

What are Newton's Laws of Motion?

Newton's Laws of Motion are a set of three fundamental principles that describe the behavior of objects in motion. They were developed by Sir Isaac Newton in the 17th century and are the foundation of classical mechanics.

What is the first law of motion?

The first law of motion, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an external force.

How is force related to Newton's laws?

Force is a crucial concept in Newton's Laws of Motion. The first law states that an object will only change its state of motion if acted upon by a force. The second law states that the acceleration of an object is directly proportional to the net force acting on it. And the third law states that for every action, there is an equal and opposite reaction force.

Can Newton's Laws be applied to all types of motion?

Yes, Newton's Laws of Motion can be applied to all types of motion, including linear, circular, and rotational motion. They can also be applied to both macroscopic and microscopic objects.

How do Newton's Laws help us understand the world around us?

Newton's Laws of Motion are essential for understanding and predicting the behavior of objects in our everyday lives. They are used in fields such as engineering, physics, and astronomy to explain and analyze the motion of objects, from the movement of planets to the flight of a baseball.

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