Question

11. A sphere of mass 6 kg is fired from a canon of
600 kg. If the canon is pushed back with a velocity
4 ms-l, then find out the velocity of sphere.​

Answer 1

Explanation:

it was = m1v1 =m2v2

and it is Conservation of mass

Answer 2

The velocity of sphere is 400 m/s.

Explanation:

Given that,

Mass of sphere = 6 kg

Mass of canon = 600 kg

Velocity of canon = 4 m/s

We need to calculate the velocity of sphere

Using conservation of momentum

$m_{1}v_{1}=m_{2}v_{2}$

$v_{2}=\dfrac{m_{1}v_{1}}{m_{2}}$

Where, m₁ = mass of canon

m₂ = mass of sphere

v₁ = velocity of canon

Put the value into the formula

$v_{2}=\dfrac{600\times4}{6}$

$v_{2}=400\ m/s$

Hence, The velocity of sphere is 400 m/s.

Learn more :

Topic : conservation of momentum

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