Question

acceleration due to gravity lab
question: does acceleration due to gravity of a falling object stay constant?
hypothesis: i think acceleration due to gravity of a falling object will/will not stay constant.
circle your answer above.
materials
1 tennis ball
1 golf ball
1 timer
1 meter stick
1 scale
tape
procedure: in this activity, you will calculate and compare the vertical accelerations of two objects with different mass.

1. measure the mass of the tennis ball and the golf ball. record the mass in kilograms in the data table below.
2. measure a vertical distance of 2 meters from the floor and mark the distance with tape. this will be the drop - height that you use for each trial.
3. hold the tennis ball so that its bottom is at the 2 - meter mark.
4. drop the ball and record the amount of time it takes to hit the floor before it bounces back up. repeat this step for a total of five trials, using the same ball and the same drop - height distance. record your data in the table below.
5. repeat steps 3 - 4 for the golf ball.
6. calculate the average time for each ball, using all five trials, and record in the data table.

data table
object mass (kg) height (m) trial 1 (s) trial 2 (s) trial 3 (s) trial 4 (s) trial 5 (s) average time (s)
tennis ball 2 m
golf ball 2 m
calculations
use the time and the height to calculate acceleration due to gravity of each ball using the kinematics formula below:
calculate acceleration due to gravity in m/s².

Explanation:

Step1: Identificar la fórmula de cinemática

La fórmula para la posición en un movimiento uniformly - acelerado es $h = v_0t+\frac{1}{2}at^{2}$. En el caso de un objeto caído desde el reposo ($v_0 = 0$), la fórmula se simplifica a $h=\frac{1}{2}gt^{2}$, donde $h$ es la altura, $g$ es la aceleración debido a la gravedad y $t$ es el tiempo. Despejando $g$ obtenemos $g=\frac{2h}{t^{2}}$.

Step2: Medir la altura y el tiempo

Medir la altura $h$ (en este caso $h = 2m$) y el tiempo $t$ para cada intento (Trial 1 - Trial 5) para cada objeto (tenis ball y golf ball).

Step3: Calcular la aceleración para cada intento

Para cada intento de cada objeto, aplicar la fórmula $g=\frac{2h}{t^{2}}$. Por ejemplo, si para un intento del tenis ball $t = 0.6s$ y $h = 2m$, entonces $g=\frac{2\times2}{0.6^{2}}=\frac{4}{0.36}\approx11.11m/s^{2}$.

Step4: Calcular el promedio

Calcular el promedio de las aceleraciones calculadas para cada objeto. Supongamos que para el tenis ball las aceleraciones de los 5 intentos son $g_1,g_2,g_3,g_4,g_5$. El promedio $\bar{g}=\frac{g_1 + g_2+g_3+g_4+g_5}{5}$.

Answer:

Se calcula la aceleración debido a la gravedad para cada objeto (tenis ball y golf ball) siguiendo los pasos anteriores. El valor final será el promedio de las aceleraciones calculadas para cada objeto.