📚 Laws of Motion – Formula Sheet for NEET

✅ 1. Newton’s Laws of Motion

  • First Law (Law of Inertia):

A body continues in its state of rest or uniform motion unless acted upon by an external force.A body continues in its state of rest or uniform motion unless acted upon by an external force.

  • Second Law:

F=m⋅a

Where:
F= Force (N)
m= Mass (kg)
a=Acceleration (m/s²)

  • Third Law:

For every action, there is an equal and opposite reaction.For every action, there is an equal and opposite reaction.

✅ 2. Force and Acceleration

  • Net Force:

Fnet=m⋅a

  • Weight of an Object:

W=m⋅g

Where:
W= Weight (N)
g= Acceleration due to gravity (9.8 m/s2)(9.8m/s2)

  • Force due to Momentum Change:

F=ΔpΔt

Where:
Δp= Change in momentum
Δt= Time interval

  • Force on Inclined Plane:

F=m⋅g⋅sin⁡θ

N=m.g⋅cosθ (Normal force)
Where:
θ = Angle of inclination

✅ 3. Friction

  • Frictional Force:

f=μ⋅N

Where:
μ = Coefficient of friction
N = Normal force

  • Static Friction:

fs≤μs⋅N

  • Kinetic Friction:

fk=μk⋅N

  • Rolling Friction:

fr=μr⋅N

✅ 4. Circular Motion

  • Centripetal Force:

F=m⋅v2

Where:
m = Mass of the object
v = Velocity
r = Radius of the circular path

  • Centripetal Acceleration:

a=v2r

  • Angular Speed:

ω=vr

  • Centrifugal Force (pseudo force):

F=m⋅v2r

✅ 5. Impulse

  • Impulse:

J=F⋅Δt=Δp

Where:
J = Impulse
Δt = Time interval
Δp = Change in momentum

✅ 6. Momentum

  • Linear Momentum:

p=m⋅v

  • Conservation of Momentum:

m1⋅v1+m2⋅v2=m1⋅u1+m2⋅u2

Where:
m1,m2 = Masses of objects
v1,v2 = Final velocities
u1,u2 = Initial velocities

✅ 7. Collision

  • Perfectly Inelastic Collision:

v=m1u1+m2u2/m1+m2

  • Perfectly Elastic Collision:

v1=(m1-m2)u1+2m2u2 / m1+m2

v2=(m2-m1)u2+2m1u1 / m1+m2

✅ 8. Work-Energy Theorem

  • Work Done by a Force:

W=F⋅d⋅cos⁡θ

Where:
d = Displacement
θ = Angle between force and displacement

  • Kinetic Energy:

K.E=1/2mv2

  • Potential Energy:

P.E=m⋅g⋅h

✅ 9. Pseudo Force

  • Force in Non-inertial Frame:

Fpseudo = m⋅a

Where:
a = Acceleration of the non-inertial frame

✅ 10. Applications of Newton’s Laws

  • Tension in String (Vertical motion):

T=m(g+a) (When moving upward)

T=m(g−a)(When moving downward)

  • Block on a Rough Horizontal Surface:

F−f=m⋅a

✅ 11. Variable Force and Motion

  • Force as a Function of Time:

F=mdv/dt

  • Force as a Function of Position:

F=m⋅d2x/dt2

✅ 12. Motion of Connected Bodies (Pulley Problems)

  • Acceleration of System:

a=(m2−m1)g/m1m2

  • Tension in the String:

T= 2m1​+m2/m1m2​​⋅g

✅ These formulas cover all essential concepts for NEET Physics under the topic “Laws of Motion.” Let me know if you need further explanations, derivations, or examples!

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