[Physics Class Notes] on Average Force Formula Pdf for Exam

We use the term ‘force’ in our daily lives to refer to a number of things. In most contexts, force is used to describe any push or pull that requires an effort at a certain speed, in some cases. When objects interact with each other, it is possible that they exert a certain amount of force on each other as well. 

What Is the Average Force?

Average force is the force applied to a body that is moving at a certain velocity, for a certain period of time. This is almost always a vector quantity, which means that it has both magnitude as well as direction. It is called average force to imply that it is not a constant or absolutely measured value for velocity. 

Formula For Average Force

If the time interval is taken as t, the force will then be the frequency of the change of momentum. When there are a number of time intervals, the rate of change of  momentum is known as the average force. 

Therefore, it is shown as:

[F = frac{m (v_f – v_i)}{Delta t}]

Here, 

m refers to the mass of the body

vf is the final momentum

vi indicates to the initial momentum 

Δ t points to the change in time, or time intervals

The product of the average force is always expressed in the form of Newtons (N). 

Formula For The Magnitude Of Force

Magnitude of force formula: F = m*a

Here,

m refers to the mass

a refers to the acceleration

What Is Net Force?

There is a certain net force that acts upon all objects.  This is the vector sum total of all forces that are acting on any particular object. Newton’s second law indicates that if there is a net force acting on any particular object, that object is accelerating, so its speed will change with every second. 

Solved Examples Using Average Force Formula

Example1:

A man throws an object with a mass of 7 kg and it rolls with a velocity of 4 m/s for 2 s. Find out its average force.

Solution:

Given: Mass of bowling ball m = 7 kg,

Initial velocity vi = 0

Final velocity vf = 4 m/s

Plugging in the values in the Average force formula, we have:

[F = frac{m (v_f – v_i)}{Delta t}]

[F = frac{7 (4 – 0)}{2}]

F= 14 N

Example 2:

A rabbit that weighs 20 kg chases the owner for 16 seconds with a velocity of 7 m per sec. Calculate the average force for the rabbit.

Solution:

Given:

The mass’ m = 20 kg.

The rabbit’s average velocity, Vavg = 7 m per s

The time, Δt =16seconds.

Now, the formula is,

[F = frac{m (v_f – v_i)}{Delta t}]

[F = frac{20 (7 – 0)}{16}]

[F = frac{140 text{kg m per s}}{16sec} ]

= 8.75 kg m per s²

Hence, the average force is  8.75N.

Conclusion

Average force can be defined as the force applied to a body moving at a certain velocity, for a certain period of time. It is mostly a vector quantity since it has both momentum and direction. It is different from net force and momentum. 

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