Question

What is the magnitude of gravitational force exerted by a 15 kg mass on a25 kg mass separated by a distance of 25 Cm? What is the acceleration produced on each mass?

Answer 1

I did like this :
\[\large{\color{red}{F=\frac{Gm_1m_2}{R^2}}}\]
\[\large{\color{blue}{F=\frac{6.7*10^{-11}*15 kg*25 kg}{0.25*0.25}}}\]
\[\large{\color{green}{F=\frac{6.7*15*25*10^{-7}}{25*25}}}\]
\[\large{\color{brown}{F=\frac{6.7*15*10^{-7}}{25}}}\]
\[\large{\color{orange}{F=\frac{6.7*3*10^{-7}}{5}}}\]
\[\large{\color{magenta}{F={4*10^{-7}N\implies \textbf{Approx.}}}}\]

Answer 2

@lgbasallote @rajathsbhat @experimentX @Callisto @hartnn

Answer 3

u r absolutely right! :)

Answer 4

now : F = m * a

hence for m = 15 kg :
\[\large{\color{red}{4*10^{-7}=15 kg * a}}\]
\[\large{\color{violet}{\frac{4*10^{-7}}{15}ms^{-2}=a}}\]
Now for m = 25 kg
\[\large{\color{blue}{4*10^{-7}=25 kg*a}}\]
\[\large{\color{green}{\frac{4*10^{-7}}{25}ms^{-2}=a}}\]

Answer 5

Right again! So....... what is ur doubt?

Answer 6

m i right? that is my doubt

Answer 7

my medal says it all!

Answer 8

this is making me epileptic :/

Answer 9

thanks rajath and lgba for medal

Answer 10

yw :D

Answer 11

@sauravshakya @sami-21 can u confirm me this again .. ?

Answer 12

actually this is not much complex as per the level of my book ..

I thought the answer must be integer type..

Answer 13

@heena

Answer 14

@ajprincess

Answer 15

m i right heena?

Answer 16

yep and here u knw force is taken same for both mass becoz both aplly same amount of force on each other ok

Answer 17

right thanks a lot heena

@waterineyes

Answer 18

That will be initial acceleration. And yeah, the acceleration on each body will increase gradually.. As, the bodies move towards each other, the gravitational force between them will increase and thus acceleration will also increase gradually.

In actual practice, that effect may not be felt much due to less masses but in theory, it will still exist!

Answer 19

thanks a lot @ujjwal

Answer 20

wow..u got a lot of confirmations for ur answer!
here's mine: yup, u're absolutely right ;)

Answer 21

thanks a lot..

actually this is very imp. question for me for exams hence need that confirmation

Answer 22

You got 6 medals for answering your own question.

Here, I will give you another since you got it right :)

Answer 23

"you got it right :)" thanks for this

Answer 24

You got it completely wrong.

Answer 25

Just kidding. =P

Answer 26

And I thought I missed something...I looked at it pretty fast and moved on :)

Answer 27

What a colourful working ..

and you got it right too ;)

Answer 28

thanks @kainui and @supercrazy92