Use the exact values you enter to make later calculations. A group of students p

Question

Use the exact values you enter to make later calculations.

A group of students performed the same "Conservation of Mechanical Energy" experiment that you performed in lab. However, instead of keeping the horizontal portion of the ramp at a constant height h2 from the tabletop, they varied this height and released the ball from the same height h1 each time. They then entered their results into the first two columns of the table shown in part (a).

(a) Complete the table below.

(b) Use the average value of v2kin to determine the height h1 through which the ball falls.

Trial # Height of ramp from table top h2 (cm) Horizontal distance d (cm) v2kin (cm/s) 1 11.74 26.75 172.90567 2 23.11 37.73 173.8226 3 29.94 41.53 168.0953 4 41.55 48.57 166.87916 5 49.85 53.01 166.2818

Explanation / Answer

b.)conserve energy

Potential energy = Kinectic energy

mgh = 0.5mv^2

1.)gh1 = 0.5v2kin ^2

h1 = 15.237 cm

2.) h1 = 0.5v2kin ^2 / g

h1 = 15.399 cm

3.)

h1 = 0.5v2kin ^2 / g

h1 = 14.40 cm

4.)

h1 = 0.5v2kin ^2 / g

h1 = 14.19 cm

5.)

h1 = 0.5v2kin ^2 / g

h1 = 14.092 cm

average height h1 = sum of all/ 5 = 14.6637 cm

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