Grade 11Mechanics

A sphere of mass m is ropped from a height h above the ground. on reaching theground it penetrates through a distance S and finally stops. the average resistance offered bythe sand to oppose the motion is

mukeh s

7 Years agoGrade 11

1 Answer

Susmita

7 Years ago

At height h it has a initial speed u=0.Just before hitting the ground its speed v is

v²=u²+2fs=2gh

or,v=root(2gh)

So it hits the ground with an initial speed u=root(2gh) and after covering a distance s it comes to rest,ie,its final velocity v=0.If f is its acceleration inside ground then

v²=u²+2fs

Or,0=2gh+2fs

Or,f=-gh/s

So the resistance(force) offered by sand is

mf=mgh/s

Hope this helps

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A sphere of mass m is ropped from a height h above the ground. on reaching theground it penetrates through a distance S and finally stops. the average resistance offered bythe sand to oppose the motion is

mukeh s

1 Answer

Susmita

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