A small particle of mass m is projected horizontally from the top of a smooth and fixed hemisphere of radius r and speed u as shown in figure. For values of u≥u0(u0=√gr) the particle does not slide on the hemisphere (i.e; leaves the surface at the top itself). For u=u03, the height from the ground at which the particle leaves the surface is Pr27. Then the value of P is .

A small particle of mass m is projected horizontally from the top of a

1.	A small particle of mass m is projected horizontally from the top of a smooth and fixed hemisphere of radius r and speed u as shown in figure. For values of u≥u0(u0=√gr) the particle does not slide on the hemisphere (i.e; leaves the surface at the top itself). For u=u03, the height from the ground at which the particle leaves the surface is Pr27. Then the value of P is .
Answer» A small particle of mass $m$ is projected horizontally from the top of a smooth and fixed hemisphere of radius $r$ and speed $u$ as shown in figure. For values of $u \geq u_{0} (u_{0} = \sqrt{g r})$ the particle does not slide on the hemisphere (i.e; leaves the surface at the top itself). For $u = \frac{u_{0}}{3}$ , the height from the ground at which the particle leaves the surface is $\frac{P r}{27}$ . Then the value of P is .

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