M-2: Forces M-5: Projectile Motion Name_______________________ Lab Worksheet Group member names__________________________________ This sheet is the lab document your TA will use to score your lab. It is to be turned in at the end of lab. To receive full credit you must use complete sentences and explain your reasoning clearly. M-2: Equilibrium Force This lab is short and illustrates forces that are in equilibrium. In terms of the 2nd law this means that netFr = 0. In this lab you are to calculate the magnitude and direction of the third force you need to add that makes netFr = 0. A force that brings an unbalanced system into equilibrium is called an equilibrium force. 1) Which force would bring the free-body diagram at left into equilibrium? a) b) c) d) 2) Follow the instructions in the lab manual and perform your calculations and geometric drawings below. The manual asks you to do this twice but a single run through the process is enough. The circle is marked in 10º increments.M-4: Acceleration in Free Fall Name_______________________ Lab Worksheet 2 M-5: Projectile Motion There are two parts to this lab and the first matches Part II in the lab manual. The second part corresponds to Part III in the lab manual. Part II: Finding the velocity of the ball as it leaves the spring gun. Using what you know about 2-D motion construct an experiment that allows you to accurately find the launch velocity of the ball. The only equipment you will use is the spring gun and the wooden box. The pendulum apparatus will not be used in this lab. There is a plumb bob on the spring gun for leveling it and another plumb bob for use measuring the distance from the gun to the box as well as meter sticks. 1) Describe your group’s method of doing this. Explain why the method works and discuss sources of measurement uncertainty. You will need to enter these estimates of your uncertainty later. Diagrams may help here. 2) Show the derivations and resultant equation in a form that gives the initial velocity in terms of your directly measured quantities.M-4: Acceleration in Free Fall Name_______________________ Lab Worksheet 3 3) Shoot the ball 10 times being very careful that nothing moves during the shooting. There is quite a bit of recoil in the spring gun so someone needs to hold this down. You will introduce systematic error if the spring gun creeps back during each shot. Write down your measurements and their estimated uncertainties. Fill in the histogram bins below putting your farthest and closest data points in the outside bins. Label your bin divisions. Write your measured values and their uncertainty in the table. quantity value δ h Δx 4) Quote your initial velocity and its uncertainty. You may find uncertainty by calculating the lowest and highest possible value for the velocity or use another method—just be clear on your method and show all calculations neatly. Hint: To save the trouble of punching your calculator you can enter the formula into Excel and just change the values. quantity value δ vo Part III: The elevated shot. Angle the spring gun up by placing a sturdy object under the spring gun’s front support. Your job is to accurately predict where the ball will land using the initial velocity of the ball found in Part II, the new height, and the angle on the spring gun’s protractor. 1) Show the derivations and resultant equation that gives Δx as a function of vo, θ, and h. This is a little messy so please try to show your steps neatly and concisely. There is more space on the next page. distance # of shots farthest closestM-4: Acceleration in Free Fall Name_______________________ Lab Worksheet 4 2) Write down your measurements and their estimated uncertainties. quantity value δ h vo θ 3) Quote your distance and your estimate of its uncertainty. Show your calculations neatly. quantity value δ Δx 4) Mark your prediction on the paper and put marks at the shortest and longest positions you calculated in 3). Comment on your success - did the ball fall within the range you
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