The variable gravity

What is the work done by a body of mass 20 kg fell from a height of 500 cm from rest in one second ? (Gravity is unknown)


The answer is 1000.

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3 solutions

Sravanth C.
Feb 6, 2015

according to the question,

m=20kg

u=0m/s

h=5m

t=1s

a=g=?

now we know s=ut+1/2at^2 i.e. 5=a/2*1^2

                                2*5=a=10=g

thereby, work done =mgh=20 10 5=1000

We have ; m=20 kg ; s = 5m ; t = 1 s ; u = 0 Work done = mgh...............1 Now using , s=ut +1/2gt^2, we get 5=0+1/2g ;g=10m/s^2 Using 1 we get W=1000J

You shouldn't consider the given height. Because its mentioned that work done in 1s .

So work done = m g h =mgh = m g ( u t + 1 2 g t 2 ) =mg(ut+\frac{1}{2}gt^2) As the object is falling from the rest,

u=0m/s; t=1s; m=20kg; g = 10 m s 2 g=10ms^{-2}

Then you just plug them in the equation to get the 1000J answer!

I don't know any way of doing in without the g given!

The gravity is not always 10 m/s^2 .....at the equator it is 9.78 m/s^2 .....so if i didn't consider the height then u will have two unkowns in the problem......thanks

hassan alsamahi - 6 years, 4 months ago

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So you should've mentioned that for that place, g = 10 m s 2 g=10ms^{-2} . There are some people who'll get confused about it!

Muhammad Arifur Rahman - 6 years, 4 months ago

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so that's why I've mentioned the height and the time .....so to bring the required gravity :)

hassan alsamahi - 6 years, 4 months ago

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@Hassan Alsamahi You should've Voted Up My Solution !

Muhammad Arifur Rahman - 6 years, 4 months ago

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@Muhammad Arifur Rahman u r right I'm sorry :)

hassan alsamahi - 6 years, 4 months ago

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@Hassan Alsamahi You're so humble!

Thank you so much!!!

Muhammad Arifur Rahman - 6 years, 4 months ago

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@Muhammad Arifur Rahman hahahahahaha u r the best man :)

hassan alsamahi - 6 years, 4 months ago

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@Hassan Alsamahi By the way, can you share your email address so I could contact you frequently?

And also share your Social Network profile like Facebook, Twitter?

'Cause I like you so much, humble man!

Don't mind!

Muhammad Arifur Rahman - 6 years, 4 months ago

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@Muhammad Arifur Rahman you can find me on facebook "Hassan Alsamahi" i'd like to contact you too ......sry for the late reply and waiting for your request

hassan alsamahi - 5 years, 10 months ago

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@Hassan Alsamahi I got you, I got you!

http://facebook.com/hassan.alsamahi

Right?

Muhammad Arifur Rahman - 5 years, 10 months ago

@Hassan Alsamahi Maybe not the Best! Right?

Muhammad Arifur Rahman - 6 years, 4 months ago

But whatever, I can't deny to say that, “This is a Brilliant problem!".

Muhammad Arifur Rahman - 6 years, 4 months ago

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