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Standard X

Physics

The Simple Pulley

A force F i...

Question

A force $F$ is applied to a system of light pulley to pull body $A$ . If $F$ is $10 k N$ and block of mass $A$ has a mass of $5 \times 10^{3} k g$ , what is the speed of $A$ after $1 s$ starting from rest?

4 m s^{- 1}

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8 m s^{- 1}

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6 m s^{- 1}

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None of these

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Solution

The correct option is A $4 m s^{- 1}$
$F = 2 T$
$T = 5000 N$
Total force on mass (m) = $20000 N$
i.e $4 T$
$a = \frac{force}{mass} = 4 m / s^{2}$

velocity after $1 s = a t = 4 \times 1 = 4 m s^{- 1}$
Option (A) is correct answer.

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Similar questions

A force F is applied to a system of light pulleys to pull body A. If F is 10 kN and block of mass A has a mass of $5 \times 10^{3}$ kg. What is the speed of A after 1 second starting form rest? Assume no friction.

Q. A block mass

(m = 0.1 k g)

is hanging over a frictionless light fixed pulley by an inextensible string of negligible mass. The other end of the string is pulled by a constant force

F

in the vertically downward direction. The linear momentum of the block increases by

2

k g m s^{- 1}

1 s

after the block starts from rest. Then:

(Given

g = 10 m s^{- 2}

)

Q. The system starts from rest and

A

attained a velocity of

5 m / s

after it has moved

5 m

towards right. Assuming the arrangement to be frictionless every where and pulley & strings to be light, if the constant force

F

applied on

A

then find the value of

F

Q. Mass of block

A

1 kg

and that of block

B

2 kg

. If a horizontal force

F = 10 N

is applied on the pulley, find the acceleration of block

A

and block

B

respectively. All surfaces are frictionless.

Q. Two blocks A and B of masses 10 kg and 15 kg are placed in contact with each other rest on a rough horizontal surface as shown in the figure. The coefficient of friction between the blocks and surface is 0.2. A horizontal force of 200 N is applied to block A. The acceleration of the system is: (Take

g = 10 m s^{- 2}

)

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A force F is applied to a system of light pulley to pull body A. If F is 10 kN and block of mass A has a mass of 5×103 kg, what is the speed of A after 1 s starting from rest?

The correct option is A 4 ms−1F=2TT=5000NTotal force on mass (m) = 20000N i.e 4Ta=forcemass=4m/s2velocity after 1s=at=4×1=4ms−1Option (A) is correct answer.

A force $F$ is applied to a system of light pulley to pull body $A$ . If $F$ is $10 k N$ and block of mass $A$ has a mass of $5 \times 10^{3} k g$ , what is the speed of $A$ after $1 s$ starting from rest?

The correct option is A $4 m s^{- 1}$
$F = 2 T$
$T = 5000 N$
Total force on mass (m) = $20000 N$
i.e $4 T$
$a = \frac{force}{mass} = 4 m / s^{2}$

velocity after $1 s = a t = 4 \times 1 = 4 m s^{- 1}$
Option (A) is correct answer.