n/ibiscms/mod/ibis/view.php?id-5068284 Grad 3/9/2018 11:00 PM 43 99.2/1003/7/201

Question

n/ibiscms/mod/ibis/view.php?id-5068284 Grad 3/9/2018 11:00 PM 43 99.2/1003/7/2018 01:17 PM Print ] Calculator Periodic Table estion 11 ol 12 Correct Map presented by Sapling Leaming 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 0.0285 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 5.25 m/s? Assume that the mass of the concentrated at its end so that linear momentum is conserved during this collision Number 0.0147 Correct 0

Explanation / Answer

Given,

Mm = 0.0285 kg ; Mp = 0.25 kg ; u1 = 5.25 m/s

from conservation of momentum

Pi = Pf

m1u1 + m1u2 = (m1 + m2)vf

vf = (m1u1 + m2u2)/(m1 + m2)

vf = (0.0285 x 5.25 + 0.25 x 0)/(0.0285 + 0.25) = 0.527 m/s

from conservation of energy

1/2 mv^2 = m g h

h = v^2/2g = vf^2/2g = 0.527^2/2 x 9.81 = 0.0142 m

Hence, h = 0.0142 m = 1.42 cm

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