A solid sphere of mass 2 , kg is resting inside a cube as shown i… - Vidyadip

MCQ

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
$\sqrt {29} $
B
$29$
✓
$26$
D
$\sqrt {89}$

✓

Answer

Correct option: C.

$26$

c
(c) ${\rm{As }}\vec v = 5t\,\hat i + 2t\,\hat j$

$\vec a = {a_x}\hat i + {a_y}\hat j$$ = 5\hat i + 2\hat j$

$\vec F = m{a_x}\hat i + m(g + {a_y})\hat j$

$|\vec F| = m\sqrt {a_x^2 + {{(g + {a_y})}^2}} = 26\;N$

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