GravitationHard
Question
Three particles projected vertically upward from a point on the surface of the Earth with velocities,
,
,
respectively where R is the radius of the Earth and g is the acceleration due to gravity on the surface of the Earth. The maximum heights attained are respectively h1, h2, h3.
,, respectively where R is the radius of the Earth and g is the acceleration due to gravity on the surface of the Earth. The maximum heights attained are respectively h1, h2, h3. Options
A.h1 : h2 = 2 : 3
B.h2 : h3 = 3 : 4
C.h1 : h3 = 1 : 4
D.h2 = R
Solution
Case I :
Ui + Ki = Uf + Kg.
mv2 = - 
+ 0
= - 
-
Case II :
Ui + Ki = Uf + Kg.
= - 
+ 0
R= - 
-
⇒ h2 = R
Case III :
Ui + Kf = Uf + Kg.
-
-
⇒ h3 = 2R
Ui + Ki = Uf + Kg.
mv2 = - + 0 = - -
Case II :
Ui + Ki = Uf + Kg.
= - + 0 R= - -
⇒ h2 = RCase III :
Ui + Kf = Uf + Kg.
-
-
⇒ h3 = 2RCreate a free account to view solution
View Solution FreeMore Gravitation Questions
A body of mass m is situated at distance 4Re above the Earth′s surface, where Re is the radius of Earth how much m...Find the distance between centre of gravity and centre of mass of a two particle system attached to the ends of a light ...The different in the legh of a mean solar day and a siaereal day is about :...The radius of earth is about 6400 km and that of mass is about 3200km. The mass of the earth is about 10 times of the ma...The potential energy of a body of mass m is U = ax + by the magnitude of acceleration of the body will be : -...