A ballistic pendulum of length L= 0.24 meters is essentially massless except for a weight of mass mw = 0.24 at the end.  A projectile of mass mp = 0.17 kilograms was fired at the pendulum from left to right. The projectile had an initial speed vi before it collided with the pendulum a distance d = 0.08 meters above the weight at the end. The projectile became lodged in the pendulum which swung to the right to a maximum angle of θ m a x= 45 degrees from vertical, as shown in the diagram above.  Aside from what happened when the projectile became lodged in the pendulum, ignore all sources of friction and let g = 9.8 meters per second squared. What was the initial speed vi (in units of meters per second) of the projectile

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A ballistic pendulum of length L= 0.24 meters is essentially massless except for a weight of mass mw = 0.24 at the end.  A projectile of mass mp = 0.17 kilograms was fired at the pendulum from left to right. The projectile had an initial speed vi before it collided with the pendulum a distance d = 0.08 meters above the weight at the end. The projectile became lodged in the pendulum which swung to the right to a maximum angle of θ m a x= 45 degrees from vertical, as shown in the diagram above.  Aside from what happened when the projectile became lodged in the pendulum, ignore all sources of friction and let g = 9.8 meters per second squared.

What was the initial speed vi (in units of meters per second) of the projectile

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