Force
Push or
pull of an object is considered a force. Push and pull come from the objects
interacting with one another. Terms like stretch and squeeze can also be used
to denote force.
In
Physics, force is defined as:
The push or pull on an object with
mass causes it to change its velocity.
Force is
an external agent capable of changing a body’s state of rest or motion. It has
a magnitude and a direction. The direction towards which the force is applied
is known as the direction of the force, and the application of force is the
point where force is applied.
The Force
can be measured using a spring balance. The SI unit of force is Newton(N).
Common symbols: |
F→, F |
SI unit: |
Newton |
In SI base units: |
Kg.m/s2 |
Other units: |
dyne, poundal,
pound-force, kip, kilo pond |
Derivations from other
quantities: |
F = m a |
Dimension: |
LMT-2 |
The effects
of force
In
physics, motion is defined as the change in position with respect to time. In
simpler words, motion refers to the movement of a body. Typically, motion can
either be described as:
- Change in
speed
- Change in
direction
The Force
has different effects, and here are some of them.
- Force can
make a body that is at rest to move.
- It can stop
a moving body or slow it down.
- It can
accelerate the speed of a moving body.
- It can also
change the direction of a moving body along with its shape and size.
Formula for
force
The
quantity of force is expressed by the vector product of
mass (m) and acceleration (a). The equation or the formula for force can
mathematically be expressed in the form of:
F = ma |
Where,
- m
= mass
- a
= acceleration
It
is articulated in Newton (N) or Kg.m/s2.
Acceleration
a is given by
a = v/t
Where,
- v
= velocity
- t
= time taken
So,
Force can be articulated as:
F = mv/t
Inertia
formula is termed as p = mv which can also be articulated
as Momentum.
Therefore,
Force can be articulated as the rate of change of momentum.
F = p/t = dp/dt
Force
formulas are beneficial in finding out the force, mass, acceleration, momentum,
velocity in any given problem.
Units of Force
- In the centimeter gram second system
of unit (CGS unit) force is expressed in dyne.
- In the
standard international system of unit (SI unit) it is expressed in Newton (N).
Types of Force
Force is a
physical cause that can change an object’s state of motion or dimensions. There
are two types of forces based on their applications:
- Contact
Force
- Non-Contact Force
Examples
of contact forces are:
- Muscular
Force
- Mechanical
Force
- Frictional
Force
We
can use the muscular force of animals like bullocks, horses, and camels to get
the activities done. The frictional
force is another type of contact force, which acts between a
pair of a surface in contact and tends to oppose the motion of one surface over
the other.
Non-Contact Force
Forces
that act through spaces without making direct contact with the body are called
non-contact forces.
Examples
of non-contact forces are:
- Gravitational
Force
- Electrostatic
Force
- Magnetic
Force
The
force exerted by a magnet on other magnets is called magnetic force. Magnetic
force and electrostatic force act on an object from a distance. That’s the
reason they are non-contact forces. The strength of gravity is an attractive
force that is exerted by the Earth on objects, which makes them fall to the
land. The weight of a body is the force that is pulled by the earth towards the
centre.
Solved Examples
How
much net force is required to accelerate a 1000 kg car at 4.00 m/s2?
Solution:
Given,
- a
= 4.00 m/s2
- m
= 1000 kg
Therefore,
F
= ma
=
1000 × 4
=
4000 N
Q.2) Aimee
has a toy car mass of 2 kg. How much force should she apply to the car so
that it should travel with the acceleration of 8 m/s2?
Solution:
Known,
- m
(Mass of toy car) = 2 Kg,
- a
(Acceleration) = 8m/s2,
F
is Force to be applied by Aimee = m × a
=
2 Kg × 8 m/s2 = 16 Kg.m/s2 = 16 N.
Q.3)
A hammer having a mass of 1 kg going with a speed of 6 m/s hits a wall and
comes to rest in 0.1 sec. Compute the obstacle force that makes the hammer stop.
Solution:
Given,
- Mass
of Hammer, m = 1 kg
- Initial
Velocity, u = 6 m/s
- Final
Velocity, v = 0 m/s
- Time
Taken, t = 0.1 s
The
acceleration is: a = (v – u)/t
Therefore,
a = -60
m/s2
[-ve
sign indicates retardation]
Thus,
the retarding Force, F = ma = 1 × 60 = 60 N
The line
along which a force acts on an object is called the force’s line of action. The point where the
force is acting on an object is called the point of application of the force. The force
which opposes the relative motion between the surfaces of two objects in
contact and acts along the surfaces is called the force of friction.
Galileo
experimentally proved that objects that are in motion move with constant speed
when there is no force acting on it. He could note that when a sphere rolls
down an inclined plane, its speed increases because of the gravitational pull
acting on it.
When all
the forces acting on an object are balanced, the net force acting is zero. But,
if all the forces acting on a body result in an unbalanced force, then the
unbalanced force can accelerate the body, which means that a net force acting
on a body can either change the magnitude of its velocity or change the
direction of its velocity. For example, when many forces act on a body, and the
body is found to be at rest, we can conclude that the net force acting on the
body is zero.
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