JEE Main Important Physics formulas
ApplyAs per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters
Force and Laws of Motion is a critical chapter in the Class 9 Physics curriculum, providing the fundamental principles required to understand motion. Careers360's Force and Laws of Motion class 9 notes are written by highly qualified teachers and provide in-depth explanations of key concepts. All students can freely access these ch 9 physics class 9 notes, which are conveniently available in PDF format on the careers360 platform. Force and laws of motion are recognised as fundamental principles in Physics and play an important role in examinations.
Students can strengthen their understanding of these concepts by diligently reviewing the class 9 physics chapter 9 notes. careers360 also offers free NCERT Solutions to help students prepare for exams thoroughly. Force is a measurable physical quantity that includes both magnitude and direction. It manifests as a push or pull on an object. Its application can cause changes in the state of motion or rest, alter velocity and direction, and even change the shape of an object. This chapter is a cornerstone for understanding the complex dynamics of motion and lays a solid foundation for future research in Physics.
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Force is a push or pull on an object, it can change the velocity of an object, change its direction of motion or change the size or shape of the object.
Balanced and unbalanced forces
When the magnitude of the net force applied to an object is zero, there will be no change in the object’s state of motion, such forces on the object are termed balanced forces. When multiple forces are applied to an object, it starts to move in the direction of the force which is greater in magnitude, these are unbalanced forces, and unbalanced forces cause a change in the state of motion of the object.
To bring a change in the speed or direction of an object, the action of the unbalanced force is required.
Galileo observed the motion of objects on an inclined plane and concluded that no net force is needed to sustain an object’s uniform motion.
The first law of motion states that until driven to change by an applied force, an object will stay in a condition of rest or uniform motion in a straight path.
The first law of motion states that when an object is subjected to an unbalanced external force, its velocity changes, or the object accelerates. Newton's first law of motion, often known as the law of inertia, emphasises objects' ability to resist change in velocity.
Inertia and mass
Inertia is the property of an object to resist the change in its state of motion, if it’s in motion, it tends to be in motion, if it’s in rest, it’ll tend to remain at rest. An object with greater mass will have more inertia, in other words; mass is a measure of inertia.
Momentum (p) is the product of an object’s mass (m) and its velocity (v)
p=mv
The direction of momentum is the same as that of velocity, and its SI unit is kg m s-1
Force applied on an object is directly proportional to the change in momentum it caused and, it is inversely proportional to the time taken for this change to take place.
The second law of motion states that an object's rate of change of momentum is proportional to the applied unbalanced force in the force's direction.
The mathematical formulation of the second law of motion
If a force of 'F' is applied to a mass of ‘m' with an initial velocity of 'u'. The force produces a change in its velocity in a time 't,' thus the final velocity is 'v.'
Initial momentum = p1 = mu
Final momentum = p2 = mv
Change in momentum ∝ p2 – p1
mv- mu
∝ m(v-u)
Rate of change of momentum m(v-u)/t
Therefore, F = m(v-u)/t
F = km(v-u)/t
F = ma
The value of k is chosen to be 1, a is the acceleration of the object.
SI unit of force is N (Newton) or kg m s-2
When no force is applied to the object, F=0
F= ma
F= m(v-u)/t
Ft = m(v-u)
Since, F=0, therefore,
v=u
Initial velocity equals final velocity, this is in accordance with Newton’s first law of motion.
When one item puts a force on another, the second object reacts by exerting a force on the first, according to the third law of motion. These two forces have the same magnitude however operate in opposing directions and on separate objects.
Law of conservation of momentum: The total momentum of two objects is conserved even after the collision.
If there are two objects ‘A’ and ‘B’, let their respective masses and velocities be mA , uA and mB , uB.
Let uA > uB , so these objects collide with each other.
The collision will last for a time ‘t’, the force exerted by A on B will be FAB , and B exerts a force FBA on A.
Let their final velocities be vA and vB.
Momentum of A before collision = mAuA
Momentum of A before collision = mAvA
Momentum of B before collision = mBuB
Momentum of B before collision = mBvB
FAB = rate of change of momentum of A= mA(vA-uA)/t
FBA = rate of change of momentum of B= mB(vB-uB)/t
According to Newton’s third law, FAB = -FBA
mA(vA-uA)/t = - mB(vB-uB)/t
Simplifying the above equation,
mAuA + mBuB= mAvA +mBvB
Initial sum of momentum = Final sum of momentum
NCERT Class 9th Science Chapter 9 Notes |
NCERT Class 9th Science Chapter 14 Notes |
Newton (N) or kg m s^{-2}
Inertia is the property of an object to resist the change in its state of motion, if it’s in motion, it tends to be in motion, if it’s in rest, it’ll tend to remain at rest.
When the magnitude of the net force applied on an object is zero, there will be no change in the object’s state of motion, such forces on the object are termed as balanced forces.
According to class 9th science chapter 9 notes Momentum (p) is the product of an object’s mass (m) and its velocity (v)
p=mv. The direction of momentum is the same as that of velocity, and its SI unit is kg m/s
The total momentum of the two objects is unchanged or conserved by the collision. These topics can also be downloaded from Class 9 Science chapter 9 notes pdf download.
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