The hunter shoots from a light inflatable boat. What speed does the boat acquire at the moment

| September 12, 2021 | education

The hunter shoots from a light inflatable boat. What speed does the boat acquire at the moment of firing if the mass of the hunter is 70 kg, the mass of the shot is 35 g and the average initial velocity of the shot is 320 m / s?

mo = 70 kg.
md = 35 g = 0.035 kg.
Vd = 320 m / s.
Vo -?
For the hunter fraction system, the law of conservation of momentum is valid: the momentum of the system remains unchanged.
Impulse is called the product of mass and speed P = m * V.
Since the speed of the boat and the shot before the shot is zero, the momentum of the system is also zero: P = 0.
After the shot, the impulse of the system should also remain equal to zero.
The impulse of the boat with the hunter is equal in magnitude to the impulse of the shot and directed in the opposite direction.
mo * Vo = md * Vd.
Vо = md * Vd / mo.
Vo = 0.035 kg * 320 m / s / 70 kg = 0.16 m / s.
Answer: the speed of the hunter after the shot will be Vo = 0.16 m / s



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