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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Rest and Motion Kinematics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rest and Motion Kinematics

A person sitting on the top of a tall building is dropping balls at...

A person sitting on the top of a tall building is dropping balls at regular intervals of one second. Determine the positions of the 3rd, 4th and 5th ball when the 6th ball is being dropped.

Options

  1. A45 m45 \text{ m}, 20 m20 \text{ m} and 5 m5 \text{ m} below the top
  2. B78.4 m78.4 \text{ m}, 44.1 m44.1 \text{ m} and 19.6 m19.6 \text{ m} below the top
  3. C19.6 m19.6 \text{ m}, 4.9 m4.9 \text{ m} and 0 m0 \text{ m} below the top
  4. D44.1 m44.1 \text{ m}, 19.6 m19.6 \text{ m} and 4.9 m4.9 \text{ m} below the top

Correct answer

D. 44.1 m44.1 \text{ m}, 19.6 m19.6 \text{ m} and 4.9 m4.9 \text{ m} below the top

Step-by-step solution

Let the time when the 6th ball is dropped be t=0t = 0.

Since the balls are dropped at regular intervals of 1 s1 \text{ s}, the time elapsed for the other balls are:
Time for 5th ball, t5=1 st_5 = 1 \text{ s}
Time for 4th ball, t4=2 st_4 = 2 \text{ s}
Time for 3rd ball, t3=3 st_3 = 3 \text{ s}

The distance fallen by a freely falling body in time tt is given by h=12gt2h = \dfrac{1}{2}gt^2. Taking g=9.8 m/s2g = 9.8 \text{ m/s}^2:

Distance of the 3rd ball from the top:
h3=12×9.8×(3)2=4.9×9=44.1 mh_3 = \dfrac{1}{2} \times 9.8 \times (3)^2 = 4.9 \times 9 = 44.1 \text{ m}

Distance of the 4th ball from the top:
h4=12×9.8×(2)2=4.9×4=19.6 mh_4 = \dfrac{1}{2} \times 9.8 \times (2)^2 = 4.9 \times 4 = 19.6 \text{ m}

Distance of the 5th ball from the top:
h5=12×9.8×(1)2=4.9×1=4.9 mh_5 = \dfrac{1}{2} \times 9.8 \times (1)^2 = 4.9 \times 1 = 4.9 \text{ m}

The positions of the 3rd, 4th, and 5th balls are 44.1 m44.1 \text{ m}, 19.6 m19.6 \text{ m}, and 4.9 m4.9 \text{ m} below the top respectively.
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