For this experiment we are using a ballistic pendulum apparatus. This device will shoot a ball into the hanging mass, combing both masses as they go up. There is a red ticker that will move with the combined mass and give us an angle of the vertical. Keep in mind another measurement is the length of the string from the hanging mass.
The ballistic pendulum is a classic example of a dissipative collision in which conservation of momentum can be used for analysis, but conservation of energy during the collision cannot be invoked because the energy goes into inaccessible forms such as internal energy. After the collision, conservation of energy can be used in the swing of the combined masses upward, since the gravitational potential energy is conservative.
The boxed expression is the one we will use to partial derive each value to find our uncertainty for velocity.
Keep in mind that d theta is in radians.
V initial is 6.99 m/s +/- 0.027 m/s
Generally if you are going to "lift" sections of your blog from somewhere else )in this case, http://hyperphysics.phy-astr.gsu.edu/hbase/balpen.html) you should source where you got it from.
ReplyDeleteTo not give credit is plagiarism.