Monday, April 13, 2015

Apr-13-2015 , lab 7: Trajectories

This lab's purpose : To use your understanding of projectile motion to predict the impact point of a ball on an inclined board.

1. First, we need to prepare some materials : Aluminum, steel ball, board, ring stand, clamp, paper, carbon paper. then set up the apparatus as shown.
















2. Launch the ball from a readily identifiable and repeatable point near the top of the inclined ramp. Notice where it hits the floor.
3. Tape a piece of carbon paper to the floor around where the ball landed. launch the ball about five times from the same place as before and verify that ball lands in virtually the same place each time.
4. Determine the height of the bottom of the ball when it launches(h=0.94m), and how far out from the table's edge it lands(x=0.553m).
5. Determine the launch speed of the ball from our measurements.
here is our calculation :


We got the launch speed of the ball is V(0) = 1.26 m/s.

6. Imagine attaching an inclined board at the edge of the lab table such that the picture:




now the ball, launches at the same spot as before, will strike the board a distance d along the board. Derive an expression that would allow us to determine the value of d. (we already know the V(0)=1.26 m/s and measured the angle a = 48' +- 1').



Then we predict the value of d from the formula. Here is our calculation:















we got the predict values of the d = 0.538m,  the x = 0.359m,  the y = 0.399m after calculated.

We also measured the value of y = 0.38m +- 0.02m by the materials.
Determine the experimental value of our landing distance and report our experimental value as d +- dd. Here is our calculation:














we got the d +- dd = 0.5113m +- 0.0324m. 

For this lab, we got the close results between the experimental value of our landing distance d and the value of the predict. we could say that this experiment is successful. 

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