Question

Example 9.7 A girl of mass 40 kg jumps
with a horizontal velocity of 5 ms onto
a stationary cart with frictionless
wheels. The mass of the cart is 3 kg.
What is her velocity as the cart starts
moving? Assume that there is no
external unbalanced force working in
the horizontal direction.

Answer 1

Step-by-step explanation:

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