Question

A Bᴏᴅʏ Oғ ➄⓪ Kɢ Mᴀss Is Rᴜɴɴɪɴɢ Wɪᴛʜ A Vᴇʟᴏᴄɪᴛʏ Oғ ➁ᴍs-➀ . Hᴇ Jᴜᴍᴘᴇᴅ Iɴᴛᴏ A Sᴛᴀᴛɪᴏɴᴀʀʏ Cᴀʀᴛ Oғ ➁ᴋɢ Wʜɪʟᴇ Rᴜɴɴɪɴɢ.

Fɪɴᴅ Tʜᴇ Vᴇʟᴏᴄɪᴛʏ Oғ Tʜᴇ Cᴀʀᴛ Aғᴛᴇʀ Tʜᴇ Bᴏᴅʏ Jᴜᴍᴘᴇᴅ Oɴᴛᴏ Iᴛ . ​

Answer 1

Answer in attachment:

Answer 2

$\huge\red{\mathfrak{Answer}}$

Formula

 M1u1+m2u2=(M+m)v2

M=50kg

u1=2m/s,

m=2kg

u2=0

After jumping on to cart both man and cart move with common velocity.

So, by substituting values we get,

50(2)+2(0)=(50+2)v2

50(2)+2(0)=(50+2)v2

100+0=52v2

52v2= 100

V2=100/52=1.9ms^-1