Question

define the mathematics from the second low of mation​

Answer 1

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

Answer 2

Refer the attachment above ..

Hope it Helps !!