QBManager

Laws of Motion

146360 Diwali rocket is ejecting $50 g$ of gases/sec at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
$v = 400 m / s$
$\frac{dm}{dt} = 50 \times 10^{- 3} kg / \sec$
Let accelerating force on rocket be $F$ ,
$∴ F = V \frac{d m}{d t}$
$F = 400 \times 50 \times 10^{- 3} = 20 N$
$∴ F = 20 N$

JCECE-2008

Laws of Motion

146362 The engine of a jet aircraft applies a thrown force of $10^{5} N$ during take off and causes the plane to attain a velocity of $1 km / s$ in $10 s$ . The mass of the plane is

1

10^{2} kg

2

10^{3} kg

3

10^{4} kg

4

10^{5} kg

Explanation:

B Acceleration produced in jet $= \frac{Velocity}{time}$
$a = \frac{1000}{10} = 100 m / \sec^{2}$
Newton's second law.
$F = ma$
$10^{5} = m \times 100$
$m = \frac{10^{5}}{100}$
$m = 10^{3} kg$

JIPMER-2012

Laws of Motion

146363 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The acceleration force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
Mass of ejecting gases $(Δ m) = 50 g = 50 \times 10^{- 3} kg$ , velocity $(v) = 400 m / s$
The accelerating force $=$ upward thrust
$= \frac{Δ m}{Δ t} \cdot v$
$= \frac{50 \times 10^{- 3}}{1} \times 400 = 20 N$
(g) \ Motion of Body Connected Together

UPSEE - 2007

Laws of Motion

146351 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off

2 When the rocket has nearly stopped with respect to the Earth

3 It doesn't matter.

4 Can't say

JIPMER-2017

Laws of Motion

146361 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given, $\frac{Δ m}{Δ t} = 50 g = 0.05 kg, u = 400 m / \sec$ .
The accelerating force on the rocket $= \frac{Δ m}{Δ t} \cdot u$
Accelerating force $= 0.05 \times 400$
$= 20 N$

UP CPMT-2008

Laws of Motion

146360 Diwali rocket is ejecting $50 g$ of gases/sec at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
$v = 400 m / s$
$\frac{dm}{dt} = 50 \times 10^{- 3} kg / \sec$
Let accelerating force on rocket be $F$ ,
$∴ F = V \frac{d m}{d t}$
$F = 400 \times 50 \times 10^{- 3} = 20 N$
$∴ F = 20 N$

JCECE-2008

Laws of Motion

146362 The engine of a jet aircraft applies a thrown force of $10^{5} N$ during take off and causes the plane to attain a velocity of $1 km / s$ in $10 s$ . The mass of the plane is

1

10^{2} kg

2

10^{3} kg

3

10^{4} kg

4

10^{5} kg

Explanation:

B Acceleration produced in jet $= \frac{Velocity}{time}$
$a = \frac{1000}{10} = 100 m / \sec^{2}$
Newton's second law.
$F = ma$
$10^{5} = m \times 100$
$m = \frac{10^{5}}{100}$
$m = 10^{3} kg$

JIPMER-2012

Laws of Motion

146363 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The acceleration force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
Mass of ejecting gases $(Δ m) = 50 g = 50 \times 10^{- 3} kg$ , velocity $(v) = 400 m / s$
The accelerating force $=$ upward thrust
$= \frac{Δ m}{Δ t} \cdot v$
$= \frac{50 \times 10^{- 3}}{1} \times 400 = 20 N$
(g) \ Motion of Body Connected Together

UPSEE - 2007

Laws of Motion

146351 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off

2 When the rocket has nearly stopped with respect to the Earth

3 It doesn't matter.

4 Can't say

JIPMER-2017

Laws of Motion

146361 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given, $\frac{Δ m}{Δ t} = 50 g = 0.05 kg, u = 400 m / \sec$ .
The accelerating force on the rocket $= \frac{Δ m}{Δ t} \cdot u$
Accelerating force $= 0.05 \times 400$
$= 20 N$

UP CPMT-2008

Laws of Motion

146360 Diwali rocket is ejecting $50 g$ of gases/sec at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
$v = 400 m / s$
$\frac{dm}{dt} = 50 \times 10^{- 3} kg / \sec$
Let accelerating force on rocket be $F$ ,
$∴ F = V \frac{d m}{d t}$
$F = 400 \times 50 \times 10^{- 3} = 20 N$
$∴ F = 20 N$

JCECE-2008

Laws of Motion

146362 The engine of a jet aircraft applies a thrown force of $10^{5} N$ during take off and causes the plane to attain a velocity of $1 km / s$ in $10 s$ . The mass of the plane is

1

10^{2} kg

2

10^{3} kg

3

10^{4} kg

4

10^{5} kg

Explanation:

B Acceleration produced in jet $= \frac{Velocity}{time}$
$a = \frac{1000}{10} = 100 m / \sec^{2}$
Newton's second law.
$F = ma$
$10^{5} = m \times 100$
$m = \frac{10^{5}}{100}$
$m = 10^{3} kg$

JIPMER-2012

Laws of Motion

146363 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The acceleration force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
Mass of ejecting gases $(Δ m) = 50 g = 50 \times 10^{- 3} kg$ , velocity $(v) = 400 m / s$
The accelerating force $=$ upward thrust
$= \frac{Δ m}{Δ t} \cdot v$
$= \frac{50 \times 10^{- 3}}{1} \times 400 = 20 N$
(g) \ Motion of Body Connected Together

UPSEE - 2007

Laws of Motion

146351 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off

2 When the rocket has nearly stopped with respect to the Earth

3 It doesn't matter.

4 Can't say

JIPMER-2017

Laws of Motion

146361 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given, $\frac{Δ m}{Δ t} = 50 g = 0.05 kg, u = 400 m / \sec$ .
The accelerating force on the rocket $= \frac{Δ m}{Δ t} \cdot u$
Accelerating force $= 0.05 \times 400$
$= 20 N$

UP CPMT-2008

Laws of Motion

146360 Diwali rocket is ejecting $50 g$ of gases/sec at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
$v = 400 m / s$
$\frac{dm}{dt} = 50 \times 10^{- 3} kg / \sec$
Let accelerating force on rocket be $F$ ,
$∴ F = V \frac{d m}{d t}$
$F = 400 \times 50 \times 10^{- 3} = 20 N$
$∴ F = 20 N$

JCECE-2008

Laws of Motion

146362 The engine of a jet aircraft applies a thrown force of $10^{5} N$ during take off and causes the plane to attain a velocity of $1 km / s$ in $10 s$ . The mass of the plane is

1

10^{2} kg

2

10^{3} kg

3

10^{4} kg

4

10^{5} kg

Explanation:

B Acceleration produced in jet $= \frac{Velocity}{time}$
$a = \frac{1000}{10} = 100 m / \sec^{2}$
Newton's second law.
$F = ma$
$10^{5} = m \times 100$
$m = \frac{10^{5}}{100}$
$m = 10^{3} kg$

JIPMER-2012

Laws of Motion

146363 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The acceleration force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
Mass of ejecting gases $(Δ m) = 50 g = 50 \times 10^{- 3} kg$ , velocity $(v) = 400 m / s$
The accelerating force $=$ upward thrust
$= \frac{Δ m}{Δ t} \cdot v$
$= \frac{50 \times 10^{- 3}}{1} \times 400 = 20 N$
(g) \ Motion of Body Connected Together

UPSEE - 2007

Laws of Motion

146351 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off

2 When the rocket has nearly stopped with respect to the Earth

3 It doesn't matter.

4 Can't say

JIPMER-2017

Laws of Motion

146361 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given, $\frac{Δ m}{Δ t} = 50 g = 0.05 kg, u = 400 m / \sec$ .
The accelerating force on the rocket $= \frac{Δ m}{Δ t} \cdot u$
Accelerating force $= 0.05 \times 400$
$= 20 N$

UP CPMT-2008

Laws of Motion

146360 Diwali rocket is ejecting $50 g$ of gases/sec at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
$v = 400 m / s$
$\frac{dm}{dt} = 50 \times 10^{- 3} kg / \sec$
Let accelerating force on rocket be $F$ ,
$∴ F = V \frac{d m}{d t}$
$F = 400 \times 50 \times 10^{- 3} = 20 N$
$∴ F = 20 N$

JCECE-2008

Laws of Motion

146362 The engine of a jet aircraft applies a thrown force of $10^{5} N$ during take off and causes the plane to attain a velocity of $1 km / s$ in $10 s$ . The mass of the plane is

1

10^{2} kg

2

10^{3} kg

3

10^{4} kg

4

10^{5} kg

Explanation:

B Acceleration produced in jet $= \frac{Velocity}{time}$
$a = \frac{1000}{10} = 100 m / \sec^{2}$
Newton's second law.
$F = ma$
$10^{5} = m \times 100$
$m = \frac{10^{5}}{100}$
$m = 10^{3} kg$

JIPMER-2012

Laws of Motion

146363 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The acceleration force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given,
Mass of ejecting gases $(Δ m) = 50 g = 50 \times 10^{- 3} kg$ , velocity $(v) = 400 m / s$
The accelerating force $=$ upward thrust
$= \frac{Δ m}{Δ t} \cdot v$
$= \frac{50 \times 10^{- 3}}{1} \times 400 = 20 N$
(g) \ Motion of Body Connected Together

UPSEE - 2007

Laws of Motion

146351 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off

2 When the rocket has nearly stopped with respect to the Earth

3 It doesn't matter.

4 Can't say

JIPMER-2017

Laws of Motion

146361 Diwali rocket is ejecting $50 g$ of gases/s at a velocity of $400 m / s$ . The accelerating force on the rocket will be

1 22 dyne

2

20 N

3 20 dyne

4

100 N

Explanation:

B Given, $\frac{Δ m}{Δ t} = 50 g = 0.05 kg, u = 400 m / \sec$ .
The accelerating force on the rocket $= \frac{Δ m}{Δ t} \cdot u$
Accelerating force $= 0.05 \times 400$
$= 20 N$

UP CPMT-2008

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