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PHXI05:LAWS OF MOTION

363147 The pendulum hanging from the ceiling of a railway carriage makes an angle $30^{\circ}$ with the vertical when it is accelerating. The acceleration of the carriage is

1

\frac{\sqrt{3}}{2} g

2

\frac{2}{\sqrt{3}} g

3

g \sqrt{3}

4

\frac{g}{\sqrt{3}}

Explanation:

$T \cos θ = m g$ and $T \sin θ = m a$
supporting img
From these two equations we get, $a = g \tan θ = g \tan 30^{\circ} = \frac{g}{\sqrt{3}}$

PHXI05:LAWS OF MOTION

363148 A person of mass 60 $k g$ is inside a lift of mass 940 $k g$ and presses the button on control panel. The lift starts moving upwards with an acceleration $1.0 m / s^{2} .$ If $g = 10 m / s^{2},$ the tension in the supporting cable is

1

9680 N

2

8600 N

3

1200 N

4

11000 N

Explanation:

Total mass $(m) =$ Mass of lift $+$ Mass of person
$= 940 + 60 = 1000 k g$
$T - m g = m a$
Hence, $T - 1000 \times 10 = 1000 \times 1$
$T = 11000 N$

PHXI05:LAWS OF MOTION

363149 Reading shown in two extended spring balances, $S_{1}$ and $S_{2}$ is $60 k g$ and $30 k g$ respectively and lift is accelerating upward with acceleration $10 m / s^{2}$ . The mass is stationary with respect to lift. Find the mass of the block
supporting img

1

12 k g

2

10 k g

3

19 k g

4

15 k g

Explanation:

$T_{1} - T_{2} - m g = m a$
$600 - 300 = m (20)$
$\frac{300}{20} = m$
$m = 15 k g$
supporting img

PHXI05:LAWS OF MOTION

363150 Assertion :
The driver in a vehicle moving with a constant speed on a straight road is in a non inertial frame of reference.
Reason :
A reference in which Newton's laws of motion are applicable is non - inertial.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Both Assertion and reason are incorrect.

Explanation:

A frame (vehicle) which moving with constant speed, i.e. acceleration $= 0$ is an inertial frame of reference and Newton's laws of motion are applicable in it
Hence, option (4) is correct.

AIIMS - 2013

PHXI05:LAWS OF MOTION

363147 The pendulum hanging from the ceiling of a railway carriage makes an angle $30^{\circ}$ with the vertical when it is accelerating. The acceleration of the carriage is

1

\frac{\sqrt{3}}{2} g

2

\frac{2}{\sqrt{3}} g

3

g \sqrt{3}

4

\frac{g}{\sqrt{3}}

Explanation:

$T \cos θ = m g$ and $T \sin θ = m a$
supporting img
From these two equations we get, $a = g \tan θ = g \tan 30^{\circ} = \frac{g}{\sqrt{3}}$

PHXI05:LAWS OF MOTION

363148 A person of mass 60 $k g$ is inside a lift of mass 940 $k g$ and presses the button on control panel. The lift starts moving upwards with an acceleration $1.0 m / s^{2} .$ If $g = 10 m / s^{2},$ the tension in the supporting cable is

1

9680 N

2

8600 N

3

1200 N

4

11000 N

Explanation:

Total mass $(m) =$ Mass of lift $+$ Mass of person
$= 940 + 60 = 1000 k g$
$T - m g = m a$
Hence, $T - 1000 \times 10 = 1000 \times 1$
$T = 11000 N$

PHXI05:LAWS OF MOTION

363149 Reading shown in two extended spring balances, $S_{1}$ and $S_{2}$ is $60 k g$ and $30 k g$ respectively and lift is accelerating upward with acceleration $10 m / s^{2}$ . The mass is stationary with respect to lift. Find the mass of the block
supporting img

1

12 k g

2

10 k g

3

19 k g

4

15 k g

Explanation:

$T_{1} - T_{2} - m g = m a$
$600 - 300 = m (20)$
$\frac{300}{20} = m$
$m = 15 k g$
supporting img

PHXI05:LAWS OF MOTION

363150 Assertion :
The driver in a vehicle moving with a constant speed on a straight road is in a non inertial frame of reference.
Reason :
A reference in which Newton's laws of motion are applicable is non - inertial.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Both Assertion and reason are incorrect.

Explanation:

A frame (vehicle) which moving with constant speed, i.e. acceleration $= 0$ is an inertial frame of reference and Newton's laws of motion are applicable in it
Hence, option (4) is correct.

AIIMS - 2013

PHXI05:LAWS OF MOTION

363147 The pendulum hanging from the ceiling of a railway carriage makes an angle $30^{\circ}$ with the vertical when it is accelerating. The acceleration of the carriage is

1

\frac{\sqrt{3}}{2} g

2

\frac{2}{\sqrt{3}} g

3

g \sqrt{3}

4

\frac{g}{\sqrt{3}}

Explanation:

$T \cos θ = m g$ and $T \sin θ = m a$
supporting img
From these two equations we get, $a = g \tan θ = g \tan 30^{\circ} = \frac{g}{\sqrt{3}}$

PHXI05:LAWS OF MOTION

363148 A person of mass 60 $k g$ is inside a lift of mass 940 $k g$ and presses the button on control panel. The lift starts moving upwards with an acceleration $1.0 m / s^{2} .$ If $g = 10 m / s^{2},$ the tension in the supporting cable is

1

9680 N

2

8600 N

3

1200 N

4

11000 N

Explanation:

Total mass $(m) =$ Mass of lift $+$ Mass of person
$= 940 + 60 = 1000 k g$
$T - m g = m a$
Hence, $T - 1000 \times 10 = 1000 \times 1$
$T = 11000 N$

PHXI05:LAWS OF MOTION

363149 Reading shown in two extended spring balances, $S_{1}$ and $S_{2}$ is $60 k g$ and $30 k g$ respectively and lift is accelerating upward with acceleration $10 m / s^{2}$ . The mass is stationary with respect to lift. Find the mass of the block
supporting img

1

12 k g

2

10 k g

3

19 k g

4

15 k g

Explanation:

$T_{1} - T_{2} - m g = m a$
$600 - 300 = m (20)$
$\frac{300}{20} = m$
$m = 15 k g$
supporting img

PHXI05:LAWS OF MOTION

363150 Assertion :
The driver in a vehicle moving with a constant speed on a straight road is in a non inertial frame of reference.
Reason :
A reference in which Newton's laws of motion are applicable is non - inertial.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Both Assertion and reason are incorrect.

Explanation:

A frame (vehicle) which moving with constant speed, i.e. acceleration $= 0$ is an inertial frame of reference and Newton's laws of motion are applicable in it
Hence, option (4) is correct.

AIIMS - 2013

PHXI05:LAWS OF MOTION

363147 The pendulum hanging from the ceiling of a railway carriage makes an angle $30^{\circ}$ with the vertical when it is accelerating. The acceleration of the carriage is

1

\frac{\sqrt{3}}{2} g

2

\frac{2}{\sqrt{3}} g

3

g \sqrt{3}

4

\frac{g}{\sqrt{3}}

Explanation:

$T \cos θ = m g$ and $T \sin θ = m a$
supporting img
From these two equations we get, $a = g \tan θ = g \tan 30^{\circ} = \frac{g}{\sqrt{3}}$

PHXI05:LAWS OF MOTION

363148 A person of mass 60 $k g$ is inside a lift of mass 940 $k g$ and presses the button on control panel. The lift starts moving upwards with an acceleration $1.0 m / s^{2} .$ If $g = 10 m / s^{2},$ the tension in the supporting cable is

1

9680 N

2

8600 N

3

1200 N

4

11000 N

Explanation:

Total mass $(m) =$ Mass of lift $+$ Mass of person
$= 940 + 60 = 1000 k g$
$T - m g = m a$
Hence, $T - 1000 \times 10 = 1000 \times 1$
$T = 11000 N$

PHXI05:LAWS OF MOTION

363149 Reading shown in two extended spring balances, $S_{1}$ and $S_{2}$ is $60 k g$ and $30 k g$ respectively and lift is accelerating upward with acceleration $10 m / s^{2}$ . The mass is stationary with respect to lift. Find the mass of the block
supporting img

1

12 k g

2

10 k g

3

19 k g

4

15 k g

Explanation:

$T_{1} - T_{2} - m g = m a$
$600 - 300 = m (20)$
$\frac{300}{20} = m$
$m = 15 k g$
supporting img

PHXI05:LAWS OF MOTION

363150 Assertion :
The driver in a vehicle moving with a constant speed on a straight road is in a non inertial frame of reference.
Reason :
A reference in which Newton's laws of motion are applicable is non - inertial.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Both Assertion and reason are incorrect.

Explanation:

A frame (vehicle) which moving with constant speed, i.e. acceleration $= 0$ is an inertial frame of reference and Newton's laws of motion are applicable in it
Hence, option (4) is correct.

AIIMS - 2013

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