A ball is projected specific latent heat of ice = 3.4 x 10\(^{2}\) Jg\(^{-1}\) horizontally from a height of 20m above the ground specific heat capacity of ...
Question 1 Report
A ball is projected specific latent heat of ice = 3.4 x 10\(^{2}\) Jg\(^{-1}\) horizontally from a height of 20m above the ground specific heat capacity of water = 4.2 Jg\(^{-1}\) K\(^{-1}\) with an initial velocity of 0.4ms\(^{-1}\). Calculate the horizontal distance moved by the ball before hitting the ground. [g = 10ms\(^{-1}\)]
Answer Details
The stem contains OCR noise (latent-heat constants merged in). The self-contained projectile part is answered.
Problem: A ball is projected horizontally from a height of 20 m above the ground with an initial velocity of \( 0.4\,\text{m s}^{-1} \). Find the horizontal distance moved before it hits the ground. \( (g = 10\,\text{m s}^{-2}) \)
Time of flight (vertical fall from rest): \[ h = \tfrac{1}{2} g t^2 \Rightarrow t = \sqrt{\dfrac{2h}{g}} = \sqrt{\dfrac{2 \times 20}{10}} = \sqrt{4} = 2\,\text{s}. \]
Horizontal distance (constant horizontal velocity): \[ x = u \times t = 0.4 \times 2 = 0.8\,\text{m}. \]
The horizontal distance moved is 0.8 m.
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