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 (g = 10 m / s2)

Question

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 (g = 10 m / s2) <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-48qtw79bbdm0.png" /> (A) 1.2 s (B) 0.74 s (C) 2.56 s (D) 0.42 s

Tardigrade Admin · Accepted Answer

Drawing a free body diagram of the block with respect to the plane.
Solution

Acceleration of the block up the plane is

a = \frac{m g cos 3 0 ^{\circ} - m g s in 3 0 ^{\circ}}{m} = (\frac{3 - 1}{2}) g = 3.66 m / s^{2}

Applying

s = \frac{1}{2} a t^{2}

t = \frac{2 s}{a} = \frac{2 \times 1}{3.66} = 0.74 s

Q. 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 $(g = 10 m / s^{2})$

$1.2 s$

$0.74 s$

$2.56 s$

$0.42 s$

Drawing a free body diagram of the block with respect to the plane.

Acceleration of the block up the plane is
$a = \frac{m g cos 3 0 ^{\circ} - m g s in 3 0 ^{\circ}}{m} = (\frac{3 - 1}{2}) g = 3.66 m / s^{2}$
Applying $s = \frac{1}{2} a t^{2}$
$t = \frac{2 s}{a} = \frac{2 \times 1}{3.66} = 0.74 s$

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

1.2s

0.74s

2.56s

0.42s

Drawing a free body diagram of the block with respect to the plane. Acceleration of the block up the plane is a=mmgcos30∘−mgsin⁡30∘​=(23​−1​)g=3.66m/s2 Applying s=21​at2 t=a2s​​=3.662×1​​=0.74s

Q. 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 $(g = 10 m / s^{2})$

$1.2 s$

$0.74 s$

$2.56 s$

$0.42 s$