Grade 12Mechanics

A body is thrown from the surface of the earth with a velocity of u m/s. The maximum height in meters reached by it will be ? (Answer should be in terms of R ,u ,g where R is radius of earth and,g is acceleration due to gravity)

Samiksha Anasane

6 Years agoGrade 12

2 Answers

Arun

6 Years ago

Dear student

Maximum height = u² sin²theta/2g = u² /2g

Niw maximum R =u² /g

Hence maximum height = R/2

Vikas TU

Approved Tutor Answer6 Years ago

Dear student
Above ans is incorrect
Applying conservation of mechanical energy
1/2 mu^2 - GMm/R = - GMm/(R+h)
Solving this
R+h = 2gR^2 /(2gR -u^2)
h = 2gR^2 /(2gR-u^2) - R
h = u^2/(gR-u^2)
Good Luck

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A body is thrown from the surface of the earth with a velocity of u m/s. The maximum height in meters reached by it will be ? (Answer should be in terms of R ,u ,g where R is radius of earth and,g is acceleration due to gravity)

Samiksha Anasane

2 Answers

Arun

Vikas TU

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