A solid sphere of mass $2\, kg$ is resting inside a cube as shown in the figure. The cube is moving with a velocity $v = (5t\,\hat i + 2t\,\hat j)m/s$. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. ........... $N$ is the total force exerted by the sphere on the cube. (Take $g = 10\, m/s^2$)
A solid sphere of mass $2\, kg$ is resting inside a cube as shown in the figure. The cube is moving with a velocity $v = (5t\,\hat i + 2t\,\hat j)m/s$. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. ........... $N$ is the total force exerted by the sphere on the cube. (Take $g = 10\, m/s^2$)
$\sqrt {29} $
$29$
$26$
$\sqrt {89}$
A solid sphere of mass $2\, kg$ is resting inside a cube as shown in the figure. The cube is moving with a velocity $v = (5t\,\hat i + 2t\,\hat j)m/s$. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. ........... $N$ is the total force exerted by the sphere on the cube. (Take $g = 10\, m/s^2$)
${\rm{As }}\vec v = 5t\,\hat i + 2t\,\hat j$
$\vec a = {a_x}\hat i + {a_y}\hat j$$ = 5\hat i + 2\hat j$
$\vec F = m{a_x}\hat i + m(g + {a_y})\hat j$
$|\vec F| = m\sqrt {a_x^2 + {{(g + {a_y})}^2}} = 26\;N$