A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be
(Take radius of earth $= 6400 km$ and $g = 10 {ms}^{- 2}$ )

Question

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be
(Take radius of earth

= 6400 km

and

g = 10 {ms}^{- 2}

)

MARKS Content Team · Accepted Answer

Correct answer: (A) 800 km. Total mechanical energy of the body at the surface of earth M_i=-GMm/R+1/2m132GMR^2=-GMm/R+GMm/9R=-8GMm/9R Total mechanical energy of the body at the highest point M_f=-GMm/(R+h) Using conservation of mechanical energy, M_i=M_f⇒-GMm/(R+h)=-8GMm/9R ⇒R+h=9R/8 ⇒h=R/8=6400/8=800 km

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be
(Take radius of earth $= 6400 km$ and $g = 10 {ms}^{- 2}$ )

Solution

Relevant Questions

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be(Take radius of earth =6400 km and g=10 ms-2)

Solution

Relevant Questions

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be
(Take radius of earth $= 6400 km$ and $g = 10 {ms}^{- 2}$ )