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The objective of this try things out is to use the ballistic pendulum to determine the preliminary velocity of your projectile employing conservation of momentum and conservation of one's as well as action of projectiles.
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Ballistic Pendulum В В В В В В В В В В
From this experiment a steel ball will be shot into the joe of a pendulum and the level, h, where the pendulum bob moves, as proven in Figure 1, can determine your initial velocity, Sixth is v, of the bob after this receives the moving ball.
If we associate the kinetic energy (KE) of the greg and the ball at the bottom with the potential strength (PE) of the bob and ball at the height, l, that they are increased to, we have:
KEbottomВ = PEВ top
ВЅВ (M + m) V2В = (M + m) g * they would
where M is the mass of the pendulum and m is the mass of the ball. Solving for V we have:
V =В в€љ2gh.......... (1)
Employing conservation of momentum we realize the impetus before effect (collision) needs to be the same as the momentum after impact. Therefore:
mv0В = (M + m) V.......... (2)
WhereВ v0В is the original velocity from the ball prior to impact. By making use of equation (1) and (2) we can consequently find your initial velocity, v0, of the ball, with the mixed equation of the two:
V= (m+M/m)в€љ2ghвЂ¦.. (3)
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We could also decide the initial velocity of the ball by capturing the ball as previously mentioned but this time enabling the ball to miss the pendulum bob and travel horizontally and vertically, and then decide the initial velocity, В v0, of the ball.