The amount of velocity does the man move across the ice(V)= 1 m/s in the opposite direction as the book
To calculate the velocity we would be using the formula,
M₁U₁ + M₂U₂ = M₁V₁+ M₂V₂
Here we are given that,
Apply the law of linear momentum
.
Before the throw:
M₁=Man mass= 80kg,
U₁=velocity = 0,
M₂=Book mass = 4kg,
U₂=velocity = 0.
After the throw:
M₁=Man mass = 80kg,
V₁=velocity = V.
M₂=Book mass = 4kg,
V₂=velocity = 20.
Now we put the values in the formula, we get,
M₁U₁ + M₂U₂ = M₁V₁+ M₂V₂
Or, (80x0) + (4x0) = (80V) + (4x20)
Or, 0=80V + 80
Or, 80V = -80
Or, V = -80/80
Or, V= -1m/s.
From the above calculation we can conclude that,
The amount of velocity does the man move across the ice(V)= 1 m/s in the opposite direction as the book
[Note: The (-)Ve sign shows that the opposite direction]
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