Grade 11General Physics

a ball ‘A’ of mass m falls to the surface of earth from infinity.Another ball ‘B’of mass 2m falls to the earth from the height equal to six times radius of earth.What would be the ratios of velocities of ‘A’ to’B’ on reaching the earth

Avneet Singh

9 Years agoGrade 11

3 Answers

DR STRANGE

9 Years ago

HI AVNEET,

YOU CAN SOLVE IT BY CONCEPT OF CONSERVTION OF ENERGY,

CHANGE IN POTENTIAL ENERGY IS KINETIC ENERGY GAINED IN THIS CASE.

FOR BALL “B”,

$K.E.=P2-P1=m_{b}gR-m_{b} gR(\frac{R^2}{R^{2}+H^{2}}) = m_{b}gR\left ( \frac{H^{2}}{R^{2}+H^{2}} \right )= \frac{1}{2}m_{b}v_{b}^{2}$

FOR BALL “A”, $K.E.= P2-P1=P2$ AS AT INFINITY POTENTIAL ENERGY IS ZERO.

$K.E.= \frac{1}{2}m_{a}v_{a}^{2}=m_{a}gR$

SO JUST TAKE THE RATIO AND SQUARE ROOT ON BOTH SIDES PUT THE VALUES m_a, m_{b ,}AND H=6R

YOU WILL GET THE ANSWER

PLEASE APPROVE THE ANSWER

ALL THE BEST AVNEET :)

DR STRANGE

9 Years ago

SORRY IN FIRST EQUATION

$P1= m_{b}gH\left ( \frac{R^{2}}{R^{2}+H^{2}} \right ),$

PERFORM THE MATHS AGAIN

ASKIITIANS SHOULD GIVE AN EDIT OPTION FOR THE ANSWERS

SORRY FOR THE MISTAKE I HOPE YOU WILL GET IT

DR STRANGE

9 Years ago

IGNORE WHOLE ANSWER ITS INCORRECT!

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a ball ‘A’ of mass m falls to the surface of earth from infinity.Another ball ‘B’of mass 2m falls to the earth from the height equal to six times radius of earth.What would be the ratios of velocities of ‘A’ to’B’ on reaching the earth

Avneet Singh

3 Answers

DR STRANGE

DR STRANGE

DR STRANGE

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