A chain of mass 2 kg is placed on a smooth table with 1/4th of its length hanging over the edge. If the length of chain is 4 m then the work done in pulling the hanging portion of the chain back to the surface of the table is [NCERT Pg. 118] (1) 5J (2) 2.5 J (3) 2 J (4) 4J
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ᴍᴀss ᴘᴇʀ ᴜɴɪᴛ ʟᴇɴɢᴛʜ =ʟᴍ
ᴍᴀss ᴏғ ᴅx ᴇʟᴇᴍᴇɴᴛ =ʟᴍᴅx
ᴅᴍ=ʟᴍᴅx
ᴡᴏʀᴋ ᴅᴏɴᴇ ʙʏ ᴘᴜʟʟɪɴɢ's ᴅx ᴇʟᴇᴍᴇɴᴛ ᴏᴠᴇʀ ᴛʜᴇ ᴛᴀʙʟᴇ =ᴅᴡ=(ᴅᴍx)ɢ
ᴅᴡ=ʟᴍɢxᴅx
ᴡ=∫0(ɴʟ)ʟᴍɢxᴅx=ʟᴍɢ0[2x2]ɴʟ=ʟᴍɢ2ɴ2ʟ2=2ɴ2ᴍɢʟ
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