Physics, asked by TIGERArJuN33, 8 months ago

A girl of a mass 50 kg jumps with a horizontal velocity of 10m/s onto a stationary cart with frictionless wheels . The mass of the cart is 5 kg . What is her velocity as the cart starts moving? Assuming that there is no external unbalanced force working in horizontal direction?

Answers

Answered by raginikri2007
0

Answer:

Given : M

girl

=40 kg u

girl

=5 m/s M

cart

=3 kg

Initial velocity of cart u

cart

=0

Let the final velocity of cart be V.

Applying conservation of linear momentum : P

i

=P

f

Or M

girl

u

girl

+M

cart

u

cart

=(M

girl

+M

cart

)V

Or 40×5+3×0=(40+3)V

⟹ V=

43

200

m/s

Answered by Anonymous
9

Answer:

ʟᴇᴛ ᴠ ʙᴇ ᴛʜᴇ ᴠᴇʟᴏᴄɪᴛʏ ᴏғ ᴛʜᴇ ɢɪʀʟ ᴏɴ ᴛʜᴇ ᴄᴀʀᴛ ᴀs ᴛʜᴇ ᴄᴀʀᴛ sᴛᴀʀᴛs ᴍᴏᴠɪɴɢ.

ᴛʜᴇ ᴛᴏᴛᴀʟ ᴍᴏᴍᴇɴᴛᴀ ᴏғ ᴛʜᴇ ɢɪʀʟ ᴀɴᴅ ᴄᴀʀᴛ ʙᴇғᴏʀᴇ ᴛʜᴇ ɪɴᴛᴇʀᴀᴄᴛɪᴏɴ = (50 x 5 ᴍ s-1) + (4 x 0 ᴍ s-1)

= 250 ᴋɢ ᴍ s-1

ᴛʜᴇ ᴛᴏᴛᴀʟ ᴍᴏᴍᴇɴᴛᴀ ᴀғᴛᴇʀ ᴛʜᴇ ɪɴᴛᴇʀᴀᴄᴛɪᴏɴ = (50 + 4) ᴋɢ x ᴠ ᴍ s-1

= 54 ᴠ ᴋɢ ᴍ s-1

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ʟᴀᴡ ᴏғ ᴄᴏɴsᴇʀᴠᴀᴛɪᴏɴ ᴏғ ᴍᴏᴍᴇɴᴛᴜᴍ,

ᴛᴏᴛᴀʟ ᴍᴏᴍᴇɴᴛᴜᴍ ʙᴇғᴏʀᴇ ᴛʜᴇ ɪɴᴛᴇʀᴀᴄᴛɪᴏɴ = ᴛᴏᴛᴀʟ ᴍᴏᴍᴇɴᴛᴜᴍ ᴀғᴛᴇʀ ᴛʜᴇ ɪɴᴛᴇʀᴀᴄᴛɪᴏɴ

→ 54 ᴠ = 250

ᴠ = 4.36 ᴍ/s

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