11. A sphere of mass 6 kg is fired from a canon of mass
600 kg. If the canon is pushed back with a velocity of
4 ms-, then find out the velocity of sphere.
Answers
The velocity of sphere = 400 m/s
Given:
A sphere of mass 6 kg is fired from a canon of mass 600 kg.
Canon is pushed back with a velocity of 4 m/s
To find:
The velocity of sphere.
Concept used:
Conservation of momentum.
That is, initial momentum = final momentum
And momentum = mass × velocity
Explanation:
consider, mass of sphere=
velocity of sphere =
mass of canon =
velocity of canon =
Initially canon on rest then initial moment of canon = 0
Final velocity of sphere is zero so final momentum of sphere = 0
initial momentum = final momentum
=
6 × = 600×4
=
= 400 m/s
The velocity of sphere = 400 m/s
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