Question

A bullet of mass 40 g is fired from a gun of mass 10 kg. If velocity of bullet is 400 m/s, then the recoil velocity
of the gun will be
(11) 1.6 m/s in the direction of bullet
(2) 1.6 m/s opposite to the direction of bullet
(3) 1.8 m/s in the direction of bullet
(4) 1.8 m/s opposite to the direction of bullet
​

Answer 1

Answer:

(2) 1.6 m/s opposite to the direction of bullet.

Answer 2

Answer:

ᴏᴘᴛɪᴏɴ 2 ɪs ᴜʀ ᴀɴsᴡᴇʀ

Explanation:

ʟᴇᴛ ᴠᴇʟᴏᴄɪᴛʏ ᴏғ ɢᴜɴ ɪs ᴠ.

ᴛʜᴇʀᴇ ɪs ɴᴏ ᴇxᴛᴇʀɴᴀʟ ғᴏʀᴄᴇ ᴀᴄᴛɪɴɢ, sᴏ ʟɪɴᴇᴀʀ ᴍᴏᴍᴇɴᴛᴜᴍ ᴡɪʟʟ ᴄᴏɴsᴇʀᴠᴇ.

ʙᴇғᴏʀᴇ ᴛʜᴇ ғɪʀɪɴɢ, ʟɪɴᴇᴀʀ ᴍᴏᴍᴇɴᴛᴜᴍ =0

ᴀғᴛᴇʀ ᴛʜᴇ ғɪʀɪɴɢ, ʟɪɴᴇᴀʀ ᴍᴏᴍᴇɴᴛᴜᴍ =0.04×400+10×ᴠ

⇒0.04×400+10×ᴠ=0 ⇒ᴠ=−1.6ᴍ/s

ʜᴇɴᴄᴇ, 1.6ᴍ/s ᴏᴘᴘᴏsɪᴛᴇ ᴛᴏ ᴛʜᴇ ᴅɪʀᴇᴄᴛɪᴏɴ ᴏғ ᴛʜᴇ ʙᴜʟʟᴇᴛ.

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