In a ballistic pendulum experiment, a small marble is fired into a cup attached

Question

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 0.0275 kg and the mass of the pendulum is 0.250 kg. how high will the pendulum swing if the marble has an initial speed of 5.95 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision. When two objects combine into one object during a collision, this is called an inelastic collision. What is conserved in an inelastic collision?

Explanation / Answer

Given,

m1 = 0.0275 kg,

m2 =0.250 kg

u1 = 5.95 m/s

m1*u1 = (m1+m2)*v

v = m1*u1/(m1+m2)

= 0.0275*5.95/(0.0275+0.250)

= 0.5896 m/s

h = v^2/(2*g)

= 0.0177 m

= 1.77 cm

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