Example 9.7 A girl of mass 40 kg jumps
with a horizontal velocity of 5 m s' 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.
Answers
Answer:
4.65 m/sec
Explanation:
no external force => momentum is constant.
momentum of girl = 40 * 5 = 200 kg-m/sec
momentum of girl and cart = total momentum of the girl + momentum of cart
=> 200 + 0 = 200 kg m/sec
speed = 200 / (40 + 3)
=> 4.65 m/sec
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Answer:
Mass of the girl = 40 kg
Mass of the cart = 3 kg
Velocity of the girl = 5 m/s
Velocity of the cart = 0 m/s
To Find :-
Velocity as the cart starts moving.
Solution :-
Firstly let's find the Mounmentum of girl
[P = mv]
Here,
P = Mounmentum
M = Mass
V = Velocity
P = 40 × 5
Hence, Mounmentum of girl is 200 kg m/s .
Now,
Let's add the Mounmentum of girl and cart
200 + 0 = 200 kg m/s
Let's find total mass
Total mass = 40 + 3 = 43 kg
Velocity=Mounmentum/mass
V = P/M
Velocity = 200/43
Hence :-
Velocity of cart is when start moving is 4.65 m/s.