150405 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is [take \(g=\mathbf{1 0} \mathbf{~ m} / \mathrm{s}^{2}\) ]
150406 A solid sphere and a solid cylinder, each of mass \(M\) and radius \(R\) are rolling with a linear speed on a flat surface without slipping. Let \(L_{1}\) be magnitude of the angular momentum of the sphere with respect to a fixed point along the path of the sphere. Likewise \(L_{2}\) be the magnitude of angular momentum of the cylinder with respect to the same fixed point along its path. The ratio \(\frac{L_{1}}{L_{2}}\) is
150407 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\) and then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The maximum height reached by the sphere is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)
150405 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is [take \(g=\mathbf{1 0} \mathbf{~ m} / \mathrm{s}^{2}\) ]
150406 A solid sphere and a solid cylinder, each of mass \(M\) and radius \(R\) are rolling with a linear speed on a flat surface without slipping. Let \(L_{1}\) be magnitude of the angular momentum of the sphere with respect to a fixed point along the path of the sphere. Likewise \(L_{2}\) be the magnitude of angular momentum of the cylinder with respect to the same fixed point along its path. The ratio \(\frac{L_{1}}{L_{2}}\) is
150407 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\) and then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The maximum height reached by the sphere is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)
150405 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is [take \(g=\mathbf{1 0} \mathbf{~ m} / \mathrm{s}^{2}\) ]
150406 A solid sphere and a solid cylinder, each of mass \(M\) and radius \(R\) are rolling with a linear speed on a flat surface without slipping. Let \(L_{1}\) be magnitude of the angular momentum of the sphere with respect to a fixed point along the path of the sphere. Likewise \(L_{2}\) be the magnitude of angular momentum of the cylinder with respect to the same fixed point along its path. The ratio \(\frac{L_{1}}{L_{2}}\) is
150407 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\) and then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The maximum height reached by the sphere is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)
150405 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is [take \(g=\mathbf{1 0} \mathbf{~ m} / \mathrm{s}^{2}\) ]
150406 A solid sphere and a solid cylinder, each of mass \(M\) and radius \(R\) are rolling with a linear speed on a flat surface without slipping. Let \(L_{1}\) be magnitude of the angular momentum of the sphere with respect to a fixed point along the path of the sphere. Likewise \(L_{2}\) be the magnitude of angular momentum of the cylinder with respect to the same fixed point along its path. The ratio \(\frac{L_{1}}{L_{2}}\) is
150407 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\) and then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The maximum height reached by the sphere is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)
150405 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is [take \(g=\mathbf{1 0} \mathbf{~ m} / \mathrm{s}^{2}\) ]
150406 A solid sphere and a solid cylinder, each of mass \(M\) and radius \(R\) are rolling with a linear speed on a flat surface without slipping. Let \(L_{1}\) be magnitude of the angular momentum of the sphere with respect to a fixed point along the path of the sphere. Likewise \(L_{2}\) be the magnitude of angular momentum of the cylinder with respect to the same fixed point along its path. The ratio \(\frac{L_{1}}{L_{2}}\) is
150407 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\) and then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The maximum height reached by the sphere is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)