Question
In a ballistic pendulum experiment, a small marble is fired into a cup attached to the...
In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0305 kg and the mass of the pendulum is 0.250 kg, how high h will the pendulum swing if the marble has an initial speed of 5.55 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision. h = m
Answers
here,
mass of the marble , m1 = 0.0305 kg
the mass of pendulum , m2 = 0.25 kg
the initial speed of marble , u1 = 5.55 m/s
let the final velocity after the collision be v
using conservation of momentum
m1 * u1 = (m1 + m2) * v
0.0305 * 5.55 = (0.0305 + 0.25) * v
solving for v
v = 0.603 m/s
the height h to which the pendulum swing , h = v^2 /2g
h = 0.603^2 /(2*9.81) m
h = 1.85 * 10^-2 m
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