Question

A bullet of mass 15g leaves the barrel of a gun with a velocity of 120m/s. The gun recoils with a velocity of 1m/s. Find the mass of the gun?

Answer 1

Every action has an equal and opposite reaction. The product of mass x velocity (momentum) will be equal. Bullet of 15 gsm at 120 m/s will produce a reaction velocity of 1 m/s in a mass of 1800 gm

Answer 2

Answer:

Concept:

The mass of a physical body refers to how much matter it contains. It's also a measure of inertia, or the resistance to accelerate when a net force is applied. The gravitational force of an object on some other bodies is also influenced by its mass. The kilogramme is the SI's fundamental mass unit (kg).  Despite the fact that mass is usually determined by monitoring an object's weight on a spring balance rather than immediately comparing it to known weights on a balancing scale, mass and weight are not the same in physics. An object on the Moon would weigh less than it would be on Earth due to the reduced gravity, but it would have the same mass.

Given:

A projectile with a mass of 15g and a velocity of 120m/s leaves the barrel of a gun. The gun recoils at a rate of one metre per second.

Find:

Find the mass of the gun?

Answer:

The law of momentum conservation states that. Unless some external force is applied, the overall momentum of two or more bodies in a closed system operating on each other remains constant. As a result, neither momentum generation nor annihilation is conceivable. The continuity equation is a fundamental law of physics that asserts that if no external forces are acting on a system, its momentum will remain constant. Newton's first law encapsulates it (the law of inertia).

according to law of conservation of momentum,

$m1u1+m2u2=m1v1+m2v2\\0.15*0+m2*0=0.15*120+m2*-1\\m2=18kg$

∴ mass of the gun  $=18$ $kg$

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