Derive an expression for acceleration due to gravity in terms of mass of the earth (M) and universal gravitational constant (G).
Answers
Answer:
Hint:In order to this question, first we will rewrite the given facts and then we will convert the value of area of heel from
c
m 2
cm2
into
m 2
m2
as the unit of pressure in
metre
metre
. And then we will apply the formula of pressure in terms of force and area (as force and area is given in the question).
Complete step-by-step solution:
Given that-
Force exerted by the woman
=500N
=500N
So, area on which force acts
=1c
m 2
=
(
1
100
m
) 2
=
1
10000
m 2
=1cm2=(1100m)2=110000m2
Now, to find the pressure, will go through its formula:-
(The physical force exerted on an object is known as pressure. The force applied per unit area is perpendicular to the surface of the objects. The force applied per unit area is perpendicular to the surface of the objects. In most cases, pressure is expressed in Pascal units, atmospheres, or pounds per square inch. If another substance exerts more force per unit area on it than vice versa, it is said to have negative pressure. The value of this substance is just the inverse of the pressure exerted by the other material.)
∴Pressure=
Force
Area
=
500 N
1
10000
m 2
=500×10000N.
m
−2
=5×
10 6
N. m
−2
∴Pressure=ForceArea=500N110000m2=500×
Hence, the pressure exerted by the woman weighing
500N
500N
standing on one heel of area of
1c
m 2
1cm2
is
5×
10 6
N. m
−2
5×106N.m−2
.
Explanation:
Hint:In order to this question, first we will rewrite the given facts and then we will convert the value of area of heel from
c
m 2
cm2
into
m 2
m2
as the unit of pressure in
metre
metre
. And then we will apply the formula of pressure in terms of force and area (as force and area is given in the question).
Complete step-by-step solution:
Given that-
Force exerted by the woman
=500N
=500N
So, area on which force acts
=1c
m 2
=
(
1
100
m
) 2
=
1
10000
m 2
=1cm2=(1100m)2=110000m2
Now, to find the pressure, will go through its formula:-
(The physical force exerted on an object is known as pressure. The force applied per unit area is perpendicular to the surface of the objects. The force applied per unit area is perpendicular to the surface of the objects. In most cases, pressure is expressed in Pascal units, atmospheres, or pounds per square inch. If another substance exerts more force per unit area on it than vice versa, it is said to have negative pressure. The value of this substance is just the inverse of the pressure exerted by the other material.)
∴Pressure=
Force
Area
=
500 N
1
10000
m 2
=500×10000N.
m
−2
=5×
10 6
N. m
−2
∴Pressure=ForceArea=500N110000m2=500×
Hence, the pressure exerted by the woman weighing
500N
500N
standing on one heel of area of
1c
m 2
1cm2
is
5×
10 6
N. m
−2
5×106N.m−2
.