6. A hollow sphere is completely filled with
sand. Sand leaks out through a hole at the
bottom. The centre of gravity of the system
with the leakage of sand
Sand
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●ᴡʜᴇɴ ɴᴏ sᴀɴᴅ ᴡɪʟʟ ʙᴇ ᴘᴏᴜʀᴇᴅ, ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏғ ɢʀᴀᴠɪᴛʏ ᴡɪʟʟ ʙᴇ ᴀᴛ ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏғ ᴛʜᴇ ʜᴏʟʟᴏᴡ sᴘʜᴇʀᴇ. ᴛʜᴜs ᴡʜᴇɴ ᴡᴇ sᴛᴀʀᴛ ᴘᴏᴜʀɪɴɢ sᴀɴᴅ ɪᴛ sᴛᴀʀᴛs ғɪʟʟɪɴɢ ᴛʜᴇ ʙᴏᴛᴛᴏᴍ. ᴛʜᴇʀᴇғᴏʀᴇ ᴅᴜʀɪɴɢ ᴛʜᴇ ɪɴɪᴛɪᴀʟ sᴛᴀᴛᴇ ᴛʜᴇ ᴍᴀss ɪs ᴍᴏʀᴇ ᴄᴏɴᴄᴇɴᴛʀᴀᴛᴇᴅ ᴀᴛ ᴛʜᴇ ʙᴏᴛᴛᴏᴍ, ᴄᴇɴᴛᴇʀ ᴏғ ɢʀᴀᴠɪᴛʏ ᴡɪʟʟ sᴛᴀʀᴛ ᴍᴏᴠɪɴɢ ᴅᴏᴡɴᴡᴀʀᴅs ғʀᴏᴍ ɪɴɪᴛɪᴀʟ ᴘᴏsɪᴛɪᴏɴ. ᴡʜᴇɴ ᴛʜᴇ sᴘʜᴇʀᴇ ɪs ʜᴀʟғ ғɪʟʟᴇᴅ ᴛʜᴇɴ ᴍᴀss ɢᴇᴛ ᴀᴄᴄᴜᴍᴜʟᴀᴛᴇᴅ ᴏɴ ᴛʜᴇ ᴛᴏᴘ ʜᴀʟғ ᴀɴᴅ ʜᴇɴᴄᴇ ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏғ ɢʀᴀᴠɪᴛʏ ʀɪsᴇs. ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏғ ɢʀᴀᴠɪᴛʏ ᴡɪʟʟ ᴀɢᴀɪɴ ʀᴇᴀᴄʜ ᴀᴛ ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏɴᴄᴇ ᴛʜᴇ sᴘʜᴇʀᴇ ɪs ғᴜʟʟʏ ғɪʟʟᴇᴅ ᴡɪᴛʜ sᴀɴᴅ.
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