A stone thrown horizontally from the top of a vertical ice is completely melted. Determine the total mass of wall with a velocity of 15ms\(^{-1}\), hits the...
Question 1 Report
A stone thrown horizontally from the top of a vertical ice is completely melted. Determine the total mass of wall with a velocity of 15ms\(^{-1}\), hits the horizontal ground water in the container at a point 45m from the base of the wall. Calculate the specific latent heat of steam = 2.3 x 10\(^3\) Jg\(^{-1}\) height of the wall. [g = 10ms\(^{-2}\)]
Answer Details
The text of this item is garbled by OCR (two separate questions have run together). The self-contained projectile part is answered below.
Problem: A stone is thrown horizontally from the top of a vertical wall with a velocity of \( 15\,\text{m s}^{-1} \) and strikes the horizontal ground at a point 45 m from the base of the wall. Find the height of the wall. \( (g = 10\,\text{m s}^{-2}) \)
Horizontal motion: the horizontal velocity is constant, so the time of flight is \[ t = \dfrac{\text{horizontal range}}{\text{horizontal velocity}} = \dfrac{45}{15} = 3\,\text{s}. \]
Vertical motion: the stone falls freely from rest vertically, so the height of the wall is \[ h = \tfrac{1}{2} g t^2 = \tfrac{1}{2} \times 10 \times 3^2 = 45\,\text{m}. \]
The height of the wall is 45 m.
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