John is pulling with a force of 230 N, and Rob is pulling with a force of 215 N. Determine the magnitude and direction of the resultant force.
Answers
Explanation:
since,it is the game of tug war,thus the john and rob are applying force in the opposite direction with respect to each other
since,the direction of the two forces are not same
thus,F1-F2
(290-275)N=15N
thus,the net force is 15 N towards the direction of more applied force
Answer:
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What is the Resultant Force and How to Find it (with Examples)
In this article, you will learn what the resultant force (also known as net force) is, and how to find it when an object is subject to parallel forces as well as non-parallel forces with the help of examples.
What is the resultant force?
When an object is subject to several forces, the resultant force is the force that alone produces the same acceleration as all those forces.
For example, if 4 forces act on a block and cause it to accelerate 1 m/s2 south, then the resultant force is the force that, if applied alone to the block, will also make it accelerate 1 m/s2 south.
The reason why the resultant force is useful is that it allows us to think about several forces as though they were a single force. This means that to determine the effect that several forces have on an object, we only need to determine the effect that a single force has.
How to find the resultant force?
If we know the mass m of an object and the acceleration a produced by the forces that act on it, we can find the resultant force using Newton's Second Law. Indeed, according to Newton's Second Law, the force F that alone produces the acceleration a on an object of mass m is:
F = ma
This force F is our resultant force. So, we can write:
R = ma
Which indicates that the resultant force R has the same direction as a, and has magnitude equal to the product ma.
For example, if a box of 1.5 kg is subject to 5 forces which make it accelerate 2.0 m/s2 north-west, then the resultant force is directed north-west and has the magnitude equal to 1.5 kg × 2.0 m/s2 = 3.0 N.
Often, however, we know the forces that act on an object and we need to find the resultant force.
Experiments show that when an object is subject to several forces, F1, F2, ..., the resultant force R is the vector sum of those forces:
R = F1 + F2 + ...
Notice that this is not a mere sum of the magnitudes of the forces, but the sum of the forces taken as vectors, which is more involved because vectors have both a magnitude and a direction that we need to consider when doing the sum.
According to the above equation, if an object is subject to no forces, then the resultant force is zero, and if an object is subject to only one force, then the resultant force is equal to that force. These two cases are pretty simple, but what about an object subject to two or more forces? How do we perform the vector sum then?
To explain this clearly, we will now go through all the cases that can happen, from simple ones in which all the forces are parallel, to more complex ones in which the forces are not parallel