define the mathematics from the second low of mation
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ɪᴛ sᴛᴀᴛᴇs ᴛʜᴀᴛ ᴛʜᴇ ʀᴀᴛᴇ ᴏғ ᴄʜᴀɴɢᴇ ᴏғ ᴍᴏᴍᴇɴᴛᴜᴍ ᴏғ ᴀ ʙᴏᴅʏ ɪs ᴅɪʀᴇᴄᴛʟʏ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ ᴛʜᴇ ᴀᴘᴘʟɪᴇᴅ ғᴏʀᴄᴇ ᴀɴᴅ ᴛᴀᴋᴇs ᴘʟᴀᴄᴇ ɪɴ ᴛʜᴇ ᴅɪʀᴇᴄᴛɪᴏɴ ɪɴ ᴡʜɪᴄʜ ᴛʜᴇ ғᴏʀᴄᴇ ᴀᴄᴛs.
ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟ ғᴏʀᴍᴜʟᴀᴛɪᴏɴ ᴏғ ɴᴇᴡᴛᴏɴ’s sᴇᴄᴏɴᴅ ʟᴀᴡ ᴏғ ᴍᴏᴛɪᴏɴ:
ʟᴇᴛ ᴍᴀss ᴏғ ᴀɴ ᴍᴏᴠɪɴɢ ᴏʙᴊᴇᴄᴛ ʙᴇ ᴍ.
ʟᴇᴛ ɪs ɪɴɪᴛɪᴀʟ ᴠᴇʟᴏᴄɪᴛʏ ʙᴇ ᴜ ᴀɴᴅ ғɪɴᴀʟ ᴠᴇʟᴏᴄɪᴛʏ ʙᴇ ᴠ.
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴍᴏᴍᴇɴᴛᴜᴍ (ᴘ) = ᴍᴀss × ᴠᴇʟᴏᴄɪᴛʏ
ᴛʜᴇʀᴇғᴏʀᴇ,
ɪɴɪᴛɪᴀʟ ᴍᴏᴍᴇɴᴛᴜᴍ ᴏғ ᴏʙᴊᴇᴄᴛ = ᴍᴜ
ᴀɴᴅ ғɪɴᴀʟ ᴍᴏᴍᴇɴᴛᴜᴍ ᴏғ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ = ᴍᴠ
ᴛʜᴇʀᴇғᴏʀᴇ, ᴄʜᴀɴɢᴇ ɪɴ ᴍᴏᴍᴇɴᴛᴜᴍ = ᴍᴠ – ᴍᴜ
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