II. Measurements A. Carefully remove the pendulum from the base and measure its

Question

II. Measurements A. Carefully remove the pendulum from the base and measure its mass masspEND B. Measure the mass of the projectile massPROJ Measure the center of mass pointer's height when the pendulum is hanging freely in the initial position C. height, 5em 35m Fire the gun about six times, recording the notch number where the pendulum stops each time. D. trial Notch number 8.0 9.0 2T G. average E. Place the pendulum in the average notch number and measure the height of the center of mass pointer above the base. height ui4cm-8.2cm Physics 190 Fall 2014

Explanation / Answer

given mas sof pendulum , M = 202.8 g = 0.2028 kg

mass of projectile, m = 66.8 g = 0.0668 kg

l = 0.35 m

average height of the venter of mass, h = 0.062 m

1. from conservatiob of energy

ket speed of the projectile pendulum system just after collision be v

then

0.5(m + M)v^2 = (M + m)gh

v = sqroot(2gh) = 1.1029 m/s

2. let projectiles intitilial speed be u

then form conservation of moemntum

mu = (M + m)v

u = 4.4513 m/s

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