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Part B: Ballistic Pendulum The questions n the very bottom is pertaining to a lab over...

Part B: Ballistic Pendulum

The questions n the very bottom is pertaining to a lab over projectile motion and its asking to use equations on the bottom to find velocity. Below are the procedures of the lab and the necessary data to find initial velocity.

Place the ball in the launcher and cock the gun until the spring is locked in the same position as used for the previous part. Fire the gun. The ball will enter the catcher in the pendulum, which will swing up and return. A slider indicates the maximum angle by which it had moved. Repeat this procedure five times and obtain the average. Use the average angle and the length of the pendulum L (distance from pivot to its center of mass) to obtain the vertical distance ‘h’ moved by the center of mass of the pendulum+ball. (You will need to do some trigonometry to get ‘h’)
In some instruments, as the pendulum swings up, it comes to rest on a curved rack. For this instrument, record the vertical distance between the base of the apparatus and the center of mass of the pendulum+ball before it swings and after it stops. The difference is the vertical height ‘h’.
Use equations 1, 3 and 4 to obtain the initial speed of the ball. Compare this with the value obtained from part 1.

Calculate the average value for the vertical distance h the pendulum-ball system has risen after the collision. This is the difference between the height of CM at its highest point and that at its lowest point.

1

Gain in Potential Energy = Loss in Kinetic Energy

Potential Energy at highest point =

Mass M of pendulum: 240 grams Mass m of ball: 64 g

Trials	1	2	3	4	Avg
Angle of CM at its lowest point	0^o	0^o	0^o	0^o
Angle of CM at its highest point	33^o	35^o	40^o	40^o
Angle (highest - lowest)	33^o	35^o	40^o	40^o
Distance L from pivot to CM of pendulum	.285 meters	.284 meters

Kinetic Energy at lowest point =

Height h from angle and L= ?

Velocity V1 of pendulum as it starts to swing=?

Velocity Vo of ball=?

Calculate the average value for the vertical distance h the pendulum-ball system has risen after the collision. This is the difference between the height of CM at its highest point and that at its lowest point.

Using Energy balance and momentum conservation equations, calculate the initial velocity V₀ of the projectile.

Expert Solution

genius_generous answered 2 years ago

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