A hammer of mass 300 g, moving at 40m/s, strikes a nail. The nail stops the hammer in a very short time of 0.02 s. The force of the nail on the hammer is
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ᴍ = 500ɢ = 0.5 ᴋɢ
ᴠ = 0 ᴍ/s
ᴜ = 50 ᴍ/s
ᴛ = 0.01 s
F = ᴍ(ᴠ-ᴜ) / ᴛ
F = 0.5 (50-0) / 0.01
F = 0.5 x 50 x 100 / 1
F = 2500 N
Fᴏʀᴄᴇ ᴏғ ɴᴀɪʟ = 2500 N
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ᴀɴsᴡᴇʀ.
ᴍᴀss ᴏғ ᴛʜᴇ ʜᴀᴍᴍᴇʀ, ᴍ = 500 ɢ = 0.5 ᴋɢ
ɪɴɪᴛɪᴀʟ ᴠᴇʟᴏᴄɪᴛʏ ᴏғ ᴛʜᴇ ʜᴀᴍᴍᴇʀ, ᴜ = 50 ᴍ/s
ᴛɪᴍᴇ ᴛᴀᴋᴇɴ ʙʏ ᴛʜᴇ ɴᴀɪʟ ᴛᴏ ᴛʜᴇ sᴛᴏᴘ ᴛʜᴇ ʜᴀᴍᴍᴇʀ, ᴛ = 0.01 s
ᴠᴇʟᴏᴄɪᴛʏ ᴏғ ᴛʜᴇ ʜᴀᴍᴍᴇʀ, ᴠ = 0 (sɪɴᴄᴇ ᴛʜᴇ ʜᴀᴍᴍᴇʀ ғɪɴᴀʟʟʏ ᴄᴏᴍᴇs ᴛᴏ ʀᴇsᴛ)
ғʀᴏᴍ ɴᴇᴡᴛᴏɴ’s sᴇᴄᴏɴᴅ ʟᴀᴡ ᴏғ ᴍᴏᴛɪᴏɴ:
ғᴏʀᴄᴇ, ғ = ᴍ(ᴠ-ᴜ) / ᴛ
= 0.5(0-50) / 0.01
= -2500 ɴ
ᴛʜᴇ ʜᴀᴍᴍᴇʀ sᴛʀɪᴋᴇs ᴛʜᴇ ɴᴀɪʟ ᴡɪᴛʜ ᴀ ғᴏʀᴄᴇ ᴏғ 2500 ɴ. ʜᴇɴᴄᴇ, ғʀᴏᴍ ɴᴇᴡᴛᴏɴ’s ᴛʜɪʀᴅ ʟᴀᴡ ᴏғ ᴍᴏᴛɪᴏɴ, ᴛʜᴇ ғᴏʀᴄᴇ ᴏғ ᴛʜᴇ ɴᴀɪʟ ᴏɴ ᴛʜᴇ ʜᴀᴍᴍᴇʀ ɪs ᴇϙᴜᴀʟ ᴀɴᴅ ᴏᴘᴘᴏsɪᴛᴇ, ɪ.ᴇ., +2500 ɴ.
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