Question

4. A sphere of mass 4 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 the sphere.​

Answer 1

Answer:

600 ms

Explanation:

m1v1=m2v2. Conservation of momentum

600×4 = 4×v

2400 = 4v

v = 2400÷4

=> v = 600 ms

Answer 2

The velocity of the sphere is 600 m/s.

Explanation:

Given that,

Mas of the sphere, $m_1=4\ kg$

Mass of the canon, $m_2=600\ kg$

Speed of the canon, $v_2=4\ m/s$

Let the velocity of the sphere is $v_1$. We need to find it. We can find it using the conservation of momentum as :

$m_1v_1=m_2v_2$

$v_1=\dfrac{m_2v_2}{m_1}\\\\v_1=\dfrac{600\ kg\times 4\ m/s}{4\ kg}\\\\v_1=600\ m/s$

So, the velocity of the sphere is 600 m/s. Hence, this is the required solution.

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Conservation of momentum

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