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<title>A spherical tank standing on the ground has a radius of R. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?</title>
$1.3.27^*.$ A spherical tank standing on the ground has a radius of $R$. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?
</p>
<h3>Solution</h3>
<p>
<p>The stone must be thrown at an angle $\alpha$ to the horizon, satisfying the equations obtained in <a href="../1.3.6" target="_blank">1.3.6</a>:</p>
<p class="exp">
$$v_x = v \cos\alpha; \quad v_y = v \sin\alpha - gt;$$
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
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<meta name="description" content="A spherical tank standing on the ground has a radius of R. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?">
<meta name="description" content="A spherical tank standing on the ground has a radius of R. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?">
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@@ -14,9 +14,9 @@
<meta property="og:description" content="A spherical tank standing on the ground has a radius of R. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?">
<meta property="og:description" content="A spherical tank standing on the ground has a radius of R. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?">
<title>A spherical tank standing on the ground has a radius of R. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?</title>
<title>A spherical tank standing on the ground has a radius of R. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?</title>
$1.3.27^*.$ A spherical tank standing on the ground has a radius of $R$. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?
$1.3.27^*.$ A spherical tank standing on the ground has a radius of $R$. What is the lowest speed at which a rock thrown from the ground can fly over the reservoir just by touching its top?
</p>
</p>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
<p>The stone must be thrown at an angle $\alpha$ to the horizon, satisfying the equations obtained in <a href="../1.3.6" target="_blank">1.3.6</a>:</p>
<p>The stone must be thrown at an angle $\alpha$ to the horizon, satisfying the equations obtained in <a href="../1.3.6" target="_blank">1.3.6</a>:</p>
<p class="exp">
<p class="exp">
$$v_x = v \cos\alpha; \quad v_y = v \sin\alpha - gt;$$
$$v_x = v \cos\alpha; \quad v_y = v \sin\alpha - gt;$$
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
