2) Equation [3], conservation of momentum, is used to find the initial velocity

Question

2) Equation [3], conservation of momentum, is used to find the initial velocity of the ball, Vb. The velocity of the pendulum-ball, Vf, is taken from the velocity v found in question 1 . The pendulum, mp, is initially at rest, and mb is the mass of the ball. Using equation [3], determine an equation to solve for the velocity of the ball, Vb, in terms of mb, m and Vf. 3) In method 2, what equation is used to find the total time the ball is in flight? What does each variable represent? 4) In method 2, how is the velocity of the ball determined? A projectile is fired at an angle theta above the horizontal at a velocity v. Determine the rectangular components for the velocity vox and voy in terms of y and theta.

Explanation / Answer

2)
initial momentum of the ball +pendulum = Final momentum of the ball + pendulum

mb*vb = (mb+mp)*sqrt(2*g*h)

vb = (mb+mp)*sqrt(2*g*h)/mb

3) T = 2*vox*cos(theta)/g

4) Horinzontal component of velocty is constant where as
vertical component of velocity is vy= voy-gT

T is the time of flight
voy is the initial vertical component of velocity

g = 9.8 m/s^2

5) Vox = V*cos(theta)

Voy = V*sin(theta)

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