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Important Questions on Laws of Motion

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

Two masses

m_{1} = 5 kg

and

m_{2} = 10 kg

, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is

0.15

. The minimum weight

m

that should be put on top of

m_{2}

to stop the motion is:

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MEDIUM

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A rod of weight

W

is supported by two parallel knife edges

A

and

B

and is in equilibrium in a horizontal position. The knives are at a distance

d

from each other. The centre of mass of the rod is at distance

x

from

A

. the normal reaction on

A

is:

HARD

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

On heating water, bubbles being formed at the bottom of the vessel detatch and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel. If r << R, and the surface tension of water is T, value of r just before bubbles detatch is :
(density of water is

ρ_{w}

)

HARD

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A block of weight

100 N

is suspended by copper and steel wires of same cross-sectional area

0.5 c m^{2}

and, length

\sqrt{3} m

and

1 m,

respectively. Their other ends are fixed on a ceiling as shown in figure. The angles subtended by copper and steel wires with ceiling are

30^{o}

and

60^{o},

respectively. If elongation in copper wire is

(Δ l_{C})

and elongation in steel wire is

(Δ l_{S}),

then the ratio

\frac{Δ l_{C}}{Δ l_{S}}

\frac{x}{1}

.Find the value of

x

.
[Young's modulus for copper and steel are

1 \times 10^{11} N m^{- 2}

and

2 \times 10^{11} {Nm}^{- 2}

respectively]

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EASY

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A particle is acted on by forces given in newtons by

F_{1} = 10 \hat{i} - 4 \hat{j}

and

F_{2} = 17 \hat{i} + 2 \hat{j}

. The force

F_{3}

which balances these forces is

EASY

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A particle moving with velocity $\vec{V}$ is acted by three forces shown by the vector triangle $P Q R$ . The velocity of the particle will
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MEDIUM

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

An elevator of mass

m

is connected to a rope which pulls the elevator up with a maximum acceleration equal to

a

. If the maximum bearable tension in the rope is

T

, then for a safe journey the minimum diameter of the rope is [

g

= acceleration due to gravity]

HARD

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

An elevator in a building can carry a maximum of

10

persons, with the average mass of each person being

68 k g

. The mass of the elevator itself is

920 k g

and it moves with a constant speed of

3 m / s

. The frictional force opposing the motion is

6000 N

. If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator

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

must be at least:

EASY

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

In a tug of war, two opposite teams pull the rope with an equal and opposite force of

20 kN

at each end of the rope. If the equilibrium condition exists in the rope, the tension in it is

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A mass of

10 kg

is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point, the rope deviated at an angle of

45 °

at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is

(g = 10 m s^{- 2})

HARD

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A ball is thrown upward with an initial velocity

V_{0}

from the surface of the earth. The motion of the ball is affected by a drag force equal to

m γ v^{2}

(where

m

is mass of the ball,

v

is its instantaneous velocity and

γ

is a constant). Time taken by the ball to rise to its zenith is:

EASY

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A body is at rest on the surface of the earth which of the following statements is correct?

HARD

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

60 H P

electric motor lifts an elevator having a maximum total load capacity of

2000 k g .

If the frictional force on the elevator is

4000 N,

the speed of the elevator at full load is close to :

(1 HP = 746 W, g = 10 m s^{- 2})

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A block of mass

10 k g

is in contact against the inner wall of a hollow cylindrical drum of radius

1 m

. The coefficient of friction between the block and the inner wall of the cylinder is

0.1

. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis will be

(g = 10 m s^{- 2})

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A mass of

10 k g

is suspended by a rope of length

4 m

, from the ceiling. A force

F

is applied horizontally at the mid-point of the rope such that the top half of the rope makes an angle of

45 °

with the vertical. Then

F

equals: (Take

g = 10 m s^{- 2}

and the rope to be massless)

EASY

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A force of

(2 \hat{i} + 3 \hat{j}) N

acts on a body of mass

1 kg

which is at rest initially. The acceleration of the body is

EASY

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

Pick out the correct statement

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A stream of water flowing horizontally with a speed of

15 m s^{- 1}

gushes out of a tube of cross-sectional area

10^{- 2} m^{2}

and hits a vertical wall nearby. The force exerted on the wall by the impact of water (assuming it does not rebound) is

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

Four identical beakers contain same amount of water as shown below.

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Beaker $A$ contains only water. A lead ball is held submerged in the beaker $B$ by string from above. A same sized plastic ball, say a table tennis $(T T)$ ball, is held submerged in beaker $C$ by a string attached to a stand from outside. Beaker $D$ contains same sized $T T$ ball which is held submerged from a string attached to the bottom of the beaker. These beakers (without stand) are placed on weighing pans and register readings $w_{A}, w_{B}, w_{C}$ and $w_{D}$ for $A, B, C$ and $D$ respectively. Effects of the mass and volume of the stand and string are to be neglected.

EASY

Physics>Mechanics>Laws of Motion>Newton's First Law of Motion

A block $A$ of mass $100 kg$ rests on another block $B$ of mass $200 kg$ and is tied to a wall as shown in the figure. The coefficient of friction between $A$ and $B$ is $0.2$ and that between $B$ and ground is $0.3$ . The minimum force required to move the block $B$ is $(g = 10 m s^{- 2})$

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Important Questions on Laws of Motion

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