High School

A 55 kg lead ball is dropped off the top of the Leaning Tower of Pisa. If the initial velocity of the ball is 0 m/s, what is the speed of the ball in m/s after falling 39.1 m?

a. 20
b. 25
c. 30
d. 35

Answer :

Final answer:

Using the kinematic equation for freely falling objects, the speed of a 55kg lead ball dropped from the top of the Leaning Tower of Pisa after falling 39.1m is approximately 27.68 m/s, which rounds to 30 m/s.

Explanation:

To determine the speed of a 55kg lead ball after falling 39.1m from rest, we can use the kinematic equation for freely falling objects:

v = √(2gh)

Where v is the final velocity, g is the acceleration due to gravity (~9.8 m/s2), and h is the distance fallen. Plugging in the values gives:

v = √(2 * 9.8 m/s2 * 39.1 m)

v = √(766.36 m2/s2)

v ≈ 27.68 m/s

Therefore, the correct answer is (c) 30 m/s, when rounded to the nearest whole number as per the options provided.