Question

Tʜᴇ ᴅɪsᴘʟᴀᴄᴇᴍᴇɴᴛ x ᴏғ ᴀ ᴘᴀʀᴛɪᴄʟᴇ ᴏғ ᴍᴀss ᴍ ᴍᴏᴠɪɴɢ ɪɴ ᴀ sᴛʀᴀɪɢʜᴛ ʟɪɴᴇ ᴠᴀʀɪᴇs ᴡɪᴛʜ ᴛɪᴍᴇ ᴛ ᴀs ᴋ=ᴛ^3/2 ᴜɴᴅᴇʀ ᴛʜᴇ ᴀᴄᴛɪᴏɴ ᴏғ ᴀ ғᴏʀᴄᴇ F ᴡʜᴇʀᴇ K ɪs ᴄᴏɴsᴛᴀɴᴛ ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ᴡᴏʀᴋ ᴅᴏɴᴇ ʙʏ ᴛʜᴇ ғᴏʀᴄᴇ? ​

Answer 1

Answer:

v= dx/dt

v= d (kt3/2) /dt

v= 3/2k (root) t

K. E= 1/2 mv²

K. E = 1/2m (3/2 K (root) t)²

K. E = 1/2m (9/4k²t)

« K. E = 9/8k²t »