Question

A particle hanging from a massless spring stretches it by $2cm$ at earth's surface. How much will the same particle stretch the spring at height $2624km$ from the surface of earth? ( Radius of earth $=6400km$)

• A. $1cm$
• B. $2cm$
• C. $3cm$
• D. $4cm$

Answer 1

The correct option is A $1cm$

$x=2cm=0.02m$

$h=2624km$

$R=6400km$

$\therefore$ $\frac{x^{\prime }}{x}=\frac{g^{\prime }}{g}=\frac{{6400}^2}{{(6400+2624)}^2}\approx 0.5x^{\prime }=0.5\times x=0.5\times 2cm=1cm$