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Physics Lab Report Lab 111: Conservation of energy in spring mass system Cristine Roxas | Group 6 Date of Experiment: 2/9/23 | Date of Submission: 2/15/23 Course & Section Number: PHYS 111A - 002 | Instructor: Bhairavi Apte Partners’ Names: Jonathen, Carlos, & Matthew 1. Introduction: Objectives: 1. Study the projectile motion and apply the linear motion equations to solve this two-dimensional problem 2. Predict where a target should be placed in order to be hit by a projectile leaving a table in a horizontal position 3. To measure the range of a projectile at an angle, and then use this value to predict where the projectile will strike the floor Background: ● Part 1 : The motion of a projectile is a 2-dimensional motion. In the x-direction, acceleration (a x ) = 0. In the y-direction, a y = g directed downwards. There are two separate equations for motion: one in the x direction and the other in the y direction ● Part 2: If the coordinate axes are chosen such that the origin is at the initial location of the projectile and the +y direction points upward, the following expressions hold for the projectile with an angle relative to horizontal 2. Experimental procedure: Part 1

Part 2 3. Results Experimental Data TABLE 1 Trial Number 1 2 3 4 5 Average x 92.5 cm 89.5 cm 92.3 cm 92 cm 92 cm 91.66 cm y = 40 v 0 = 32.14 cm/s TABLE 2 Target height (cm) Calculated D (cm) Measured D (cm) % difference 15 72.3 76.2 5.4% y = 25 TABLE 4 Calculated D Measured D % difference 507 108 78.7%

Calculations: 4. Analysis and Discussion 1. Overall, the prediction had mixed results, mainly due to the calculations. For table 2, the difference is relatively small with only 5.4%. This can be due to measurements not being perfect or rounding. However, in table 4, there is a very large difference. The large difference can be due to a number of factors. A miscalculation, an incorrect number used during calculations, or maybe even the wrong equation. 2. During this lab, the launcher was set at both 0 o and 60 o . In both instances, the path of the projectile’s path was shaped like an arc, more so when the angle was 60 o . 5. Conclusions In this lab, I’ve learned about all the factors that affect the distance an object moves and how to predict the path of an object. I saw how even the smallest change can affect the trajectory. For example, while trying to hit the target, we would only move it very little until the ball hit it. It was surprising how small of a change was needed. At

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some point during the lab, we had to solve for R, but I was confused about what to do with it. It would help if the lab was more clear or less condensed so that it would be easier to find what you need. 6. Raw Data

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