Question

When the distance between two bodies is 90cm , then the gravitational force is 1.0*10^-17. If the distance between the two bodies is 90mm,then how much will be the g

Answer 1

Hari Om...!

we have,

when, distance is 90 cm , Gravitational force = $1.0 \times {10}^{ -1 7}$

thus,

using

$f = \frac{GMm}{ {r}^{2} }$
and putting r = $90 \times {10}^{ - 2}$

we get,

GMm = $f \times {(90 \times {10}^{ - 2} )}^{2}$

Now, when distance = 90 mm

I.e
$90 \times {10}^{ - 3}$

f = $\frac{GMm}{ {r}^{2} }$
putting value of GMm

$\frac{f \times {(90 \times {10}^{ - 2} )}^{2} }{ {(90 \times {10}^{ - 3}) }^{2} }$
this, equals

f × 10²

thus, final answer is $1 \times {10}^{ - 17} \times {10}^{2} = 1 \times {10}^{ - 15}$

Thanks

KSHITIJ

Answer 2

Explanation:

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