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Standard XII

Physics

Pseudo Force

A block is pl...

Question

A block is placed on an inclined plane moving towards right horizontally with an acceleration $a_{0} = g$ . The length of the plane $A C$ = $1 m$ . Friction is absent everywhere. The time taken by the block to reach from $C$ to $A$ is approximately $(g = 10 {m/s}^{2})$

1.2

s

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0.74 s

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2.56 s

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0.42 s

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Solution

The correct option is B $0.74 s$
Drawing free body diagram of block with resepct to plane.

Acceleration of the block up the plane is
$a = \frac{mg cos 30^{\circ} - mg sin 30^{\circ}}{m}$

$= (\frac{\sqrt{3} - 1}{2}) g = 3.66 {m/s}^{2}$
On applying, $s = \frac{1}{2} a t^{2}$
$t = \sqrt{\frac{2 s}{a}} = \sqrt{\frac{2 \times 1}{3.66}} = 0.74 s$

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A block is placed on an inclined plane moving towards right horizontally with an acceleration a0=g. The length of the plane AC = 1 m. Friction is absent everywhere. The time taken by the block to reach from C to A is approximately (g=10 m/s2)

The correct option is B 0.74 sDrawing free body diagram of block with resepct to plane. Acceleration of the block up the plane is a=mg cos30∘−mg sin30∘m =(√3−12)g=3.66 m/s2 On applying, s=12at2 t=√2sa=√2×13.66=0.74 s

A block is placed on an inclined plane moving towards right horizontally with an acceleration $a_{0} = g$ . The length of the plane $A C$ = $1 m$ . Friction is absent everywhere. The time taken by the block to reach from $C$ to $A$ is approximately $(g = 10 {m/s}^{2})$