Velocity of a body falling freely depends on g and h, where g is acceleration due to gravity and h is the height through which the body has fallen. Derive an expression for velocity.
Answers
Answer:
11th
Physics
Units and Measurement
Dimensions and Dimensional Analysis
The velocity of a body fall...
PHYSICS
The velocity of a body falling under gravity is directly proportional to g
a
h
b
. If g and h are the acceleration due to gravity and height covered by the body, respectively, then determine the values of a and b.
December 20, 2019
avatar
Nirajana Rathi
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ANSWER
We know, one of the fundamental equation of motion is
v
2
−u
2
=2as
Where, v is Final Velocity
u is Initial Velocity
a is Acceleration
t is time taken.
In case of motion under gravity, the acceleration a and the distance s in the above equations are replaced by gravity g and the height of the object.
Thus the acceleration due to gravity equation is,
v
2
−u
2
=2gh
Where,
h is Height from ground level and
g is acceleration due to gravity.
For a body falling under gravity initially at rest i.e. u = 0, hence
v
2
=2gh
v=
2
gh
⇒v∝
g
h
⇒v∝g
2
1
h
2
1
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Answer:
11th
Physics
Units and Measurement
Dimensions and Dimensional Analysis
The velocity of a body fall...
PHYSICS
The velocity of a body falling under gravity is directly proportional to g
a
h
b
. If g and h are the acceleration due to gravity and height covered by the body, respectively, then determine the values of a and b.
December 20, 2019
avatar
Nirajana Rathi
Share
Save
ANSWER
We know, one of the fundamental equation of motion is
v
2
−u
2
=2as
Where, v is Final Velocity
u is Initial Velocity
a is Acceleration
t is time taken.
In case of motion under gravity, the acceleration a and the distance s in the above equations are replaced by gravity g and the height of the object.
Thus the acceleration due to gravity equation is,
v
2
−u
2
=2gh
Where,
h is Height from ground level and
g is acceleration due to gravity.
For a body falling under gravity initially at rest i.e. u = 0, hence
v
2
=2gh
v=
2
gh
⇒v∝
g
h
⇒v∝g
2
1
h
2
1