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Acceleration Due to
GRAVITY)
When an object falls towards Earth due to qravity, its velocity increases,
indicating an acceleratiorn due to gravity (g).
• This acceleration can be derived by equating Newton's Second Law of Motion
(F= ma) with the LIniversal Law of Gravitation rGMm
The formula for acceleration due to gravity is g =GM
where G is the gravitational constant, M is the
mass of the Earth, andRis the radius of the Earth.
• The approximate value of q on Earth's surface is 9,8 m/s2.
often rounded to 10 m/s? for calculations.
g9.8 m/s² 10 m/s2
R
Factors Afecting Acceleration Due to Gravity (g)
Acceleration Due
to Gravity (g)
Altitude (Height) >
Depth (inside Earth)>
Shape of Earth >
Page 4 (OCR)
Acceleration Due to Gravity (g)
• Definition: Velocity increases as cbiect falls to Earth
• Derivation: Neaton's Second Law $F =ma) +
Universal Law of Gravitation.
Variables : G (constanf). M (mass of Earth). R (radius).
Standard Value: 9.8 xms
Factors Affecting
Alttude
Depth
Shape of Earth
Page 5 (OCR)
Universal Gravitational Constant (G) s Acelestion Due Do Gravity )
Overlap
/Constant
evenywhere in
Mass vs. Weight
NNn/kg?)
, V
Varies
(8 m2
on Earth
Overlap
Both are related to the Force of gravity.
Mass is amount of matter in matter in object and is a
Weight is the graviational force actiąct and a vector quantity.
Weight is Mas is measural force acting Weight measured ().
Formula: Wm X4
Units: Mass is measured kilograms (ka): while weight dhanghre.
Consistence: Mass remains Constant changes bast in value of q
in the value q.
Zero Value: Mass never be zero, but weight can zero if q = 0
(e.p. in outer space.
Page 6 (OCR)
anle
Meaning of Free Fall
Motion dá motion
only gravity
Free Fall
•A stone dropped from of building
No air resistance
Equations of Motion in Freell
V =2 - (m)
u-s' = s (m)
Sign Convention for Freefall
Upward direction + Dongative
| Value of g Always negati 9,8 mys or -l0 m/s)
Stone dropped from a 20 m tower
Given:
U=0m/s
9-10 mys -10 m/s
2
s -20
Page 7 (OCR)
Important Formulas-Chapter: Gravity
Kepler bhai ne planets ke rules banaye
• Acceleration Due to Gravity (9)
GM
R2
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Page 2
No text detected
Page 3 (OCR)
Acceleration Due to
GRAVITY)
When an object falls towards Earth due to qravity, its velocity increases,
indicating an acceleratiorn due to gravity (g).
• This acceleration can be derived by equating Newton's Second Law of Motion
(F= ma) with the LIniversal Law of Gravitation rGMm
The formula for acceleration due to gravity is g =GM
where G is the gravitational constant, M is the
mass of the Earth, andRis the radius of the Earth.
• The approximate value of q on Earth's surface is 9,8 m/s2.
often rounded to 10 m/s? for calculations.
g9.8 m/s² 10 m/s2
R
Factors Afecting Acceleration Due to Gravity (g)
Acceleration Due
to Gravity (g)
Altitude (Height) >
Depth (inside Earth)>
Shape of Earth >
Page 4 (OCR)
Acceleration Due to Gravity (g)
• Definition: Velocity increases as cbiect falls to Earth
• Derivation: Neaton's Second Law $F =ma) +
Universal Law of Gravitation.
Variables : G (constanf). M (mass of Earth). R (radius).
Standard Value: 9.8 xms
Factors Affecting
Alttude
Depth
Shape of Earth
Page 5 (OCR)
Universal Gravitational Constant (G) s Acelestion Due Do Gravity )
Overlap
/Constant
evenywhere in
Mass vs. Weight
NNn/kg?)
, V
Varies
(8 m2
on Earth
Overlap
Both are related to the Force of gravity.
Mass is amount of matter in matter in object and is a
Weight is the graviational force actiąct and a vector quantity.
Weight is Mas is measural force acting Weight measured ().
Formula: Wm X4
Units: Mass is measured kilograms (ka): while weight dhanghre.
Consistence: Mass remains Constant changes bast in value of q
in the value q.
Zero Value: Mass never be zero, but weight can zero if q = 0
(e.p. in outer space.
Page 6 (OCR)
anle
Meaning of Free Fall
Motion dá motion
only gravity
Free Fall
•A stone dropped from of building
No air resistance
Equations of Motion in Freell
V =2 - (m)
u-s' = s (m)
Sign Convention for Freefall
Upward direction + Dongative
| Value of g Always negati 9,8 mys or -l0 m/s)
Stone dropped from a 20 m tower
Given:
U=0m/s
9-10 mys -10 m/s
2
s -20
Page 7 (OCR)
Important Formulas-Chapter: Gravity
Kepler bhai ne planets ke rules banaye
• Acceleration Due to Gravity (9)
GM
R2
