A block of metal is lying on the floor of a bus. The maximum acceleration which can be given to the bus so that the block may remain at rest, will be:

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Answer 1

Hint: Draw FBD and mention the forces.
Explanation:
Step 1: Derive the condition:
To keep the block may remain at rest, the driving force will be equal to the limiting friction.
By the law of limiting friction, limiting friction is equal to $F_{r} = μ N$
Considering the forces in vertical direction, $N = m g$
Considering the forces in horizontal direction, $m a = μ N$
$\Rightarrow m a = μ m g$
$\Rightarrow a = μ g$

So, the maximum acceleration which can be given to the bus so that the block may remain at rest will be $μ g$ .
Correct Option: C

Answer 2

Hint: Draw FBD and mention the forces.

Explanation:
Step 1: Derive the condition:
To keep the block may remain at rest, the driving force will be equal to the limiting friction.
By the law of limiting friction, limiting friction is equal to $F_{r} = μ N$

Considering the forces in vertical direction, $N = m g$
Considering the forces in horizontal direction, $m a = μ N$

$\Rightarrow m a = μ m g$

$\Rightarrow a = μ g$

So, the maximum acceleration which can be given to the bus so that the block may remain at rest will be $μ g$ .
Correct Option: C

A block of metal is lying on the floor of a bus. The maximum acceleration which can be given to the bus so that the block may remain at rest, will be:

$μ^{2} g$

$μ g^{2}$

$μ g$

$μ / g$

A man getting down from a running bus falls forward :

When a bus starts suddenly, a person standing in it falls backwards.

It is due to inertia of rest.

When a bus starts suddenly, a person standing in it falls backwards.

A force of 12 N gives an object an acceleration of 4m/s $^{2}$ . The force required to give it an acceleration of 10m/s $^{2}$ is

The same horizontal force acts on two blocks of masses $M$ and $m$ resting on a smooth horizontal surface. The ratio of the displacement of the blocks in equal intervals of time, is :

The same horizontal force acts on two blocks of masses 4 kg and 2 kg resting on a smooth horizontal surface. The ratio of the times taken by them to cover equal distances is :

Revise with Concepts

Motion Along a Rough Inclined Plane

A block of metal is lying on the floor of a bus. The maximum acceleration which can be given to the bus so that the block may remain at rest, will be:

μ2g

μg2

μg

μ/g

A man getting down from a running bus falls forward :

When a bus starts suddenly, a person standing in it falls backwards.

It is due to inertia of rest.

When a bus starts suddenly, a person standing in it falls backwards.

A force of 12 N gives an object an acceleration of 4m/s2. The force required to give it an acceleration of 10m/s2 is

The same horizontal force acts on two blocks of masses M and m resting on a smooth horizontal surface. The ratio of the displacement of the blocks in equal intervals of time, is :

The same horizontal force acts on two blocks of masses 4 kg and 2 kg resting on a smooth horizontal surface. The ratio of the times taken by them to cover equal distances is :

Revise with Concepts

Motion Along a Rough Inclined Plane

$μ^{2} g$

$μ g^{2}$

$μ g$

$μ / g$

A force of 12 N gives an object an acceleration of 4m/s $^{2}$ . The force required to give it an acceleration of 10m/s $^{2}$ is

The same horizontal force acts on two blocks of masses $M$ and $m$ resting on a smooth horizontal surface. The ratio of the displacement of the blocks in equal intervals of time, is :