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Spring Force

A block of ma...

Question

A block of mass $2 k g$ is suspended from the ceiling through a massless spring of spring constant $k = 100 N/m$ . What will be the difference in the elongation of the spring, if another $1 k g$ mass is added to the mass of the block?
(Take $g = 10 m / s^{2}$ )

0.1 m

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0.2 m

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0.3 m

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0.5 m

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Solution

The correct option is A $0.1 m$
For equilibrium,
Spring force = Weight of the block
$k x_{1} = m_{1} g \Rightarrow x_{1} = \frac{m_{1} g}{k} \Rightarrow \frac{2 (10)}{100} = 0.2 m$
Case (2) $x_{2} = \frac{m_{2} g}{k} = \frac{3 (10)}{100} = 0.3 m$
Difference in the elongation $= 0.3 - 0.2 = 0.1 m$

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Similar questions

A block of 2 kg is suspended from the ceiling through a massless spring of spring constant k = 100 N/m. What is the elongation of the spring ? If another 1 kg is added to the block, what would be the further elongation ?

Q. A block of mass

2 k g

is suspended from the ceiling through a massless spring of spring constant

k = 100 N/m

. What will be the difference in the elongation of the spring, if another

1 k g

mass is added to the mass of the block?
(Take

g = 10 m / s^{2}

)

Q. A block of

4 k g

is suspended from the ceiling through a massless spring of spring constant

k = 100 N / m

. If

4 k g

is replaced by

8 k g

, what would be the ratio of elongation in 1st case to 2nd case?

Q. Find the extention in the spring, if mass of the block is

6 kg

and spring constant of the spring is

120 N/m

. [Take

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

]

Q. A block of

4 k g

is suspended from the ceiling through a massless spring of spring constant

k = 100 N / m

. If

4 k g

is replaced by

8 k g

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A block of mass 2 kg is suspended from the ceiling through a massless spring of spring constant k=100 N/m. What will be the difference in the elongation of the spring, if another 1 kg mass is added to the mass of the block? (Take g=10 m/s2)

The correct option is A 0.1 m For equilibrium, Spring force = Weight of the block kx1=m1g⇒x1=m1gk⇒2(10)100=0.2 m Case (2) x2=m2gk=3(10)100=0.3 m Difference in the elongation =0.3−0.2=0.1 m

A block of mass $2 k g$ is suspended from the ceiling through a massless spring of spring constant $k = 100 N/m$ . What will be the difference in the elongation of the spring, if another $1 k g$ mass is added to the mass of the block?
(Take $g = 10 m / s^{2}$ )

The correct option is A $0.1 m$
For equilibrium,
Spring force = Weight of the block
$k x_{1} = m_{1} g \Rightarrow x_{1} = \frac{m_{1} g}{k} \Rightarrow \frac{2 (10)}{100} = 0.2 m$
Case (2) $x_{2} = \frac{m_{2} g}{k} = \frac{3 (10)}{100} = 0.3 m$
Difference in the elongation $= 0.3 - 0.2 = 0.1 m$