Two springs of force constant $100 N / m$ and $150 N / m$ are in series as shown. The block is pulled by a distance of $2.5 c m$ to the right from equilibrium position. What is the ratio of work done by the spring $1$ to the work done by the spring $2$ ?

3 : 2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $3 : 2$
When connected in series, the force in both the springs is the same. So, $k_{1} x_{1} = k_{2} x_{2}$

Hence
$\frac{W_{1}}{W_{2}} = \frac{k_{1} x_{1}^{2}}{k_{2} x_{2}^{2}} = \frac{k_{2}}{k_{1}} = \frac{3}{2}$

Suggest Corrections

Similar questions

Q. Two springs of force constant 100 N/m and 150 N/m are in series as shown. The block is pulled by a distance of 2.5 cm to the right from equilibrium position. What is the ratio of work done by the spring at left to the work done by the spring at right?

A block of mass $m$ is attached rigidly with a light spring of force constant $k$ . The other end of the spring is fixed to a wall. If block is displaced by a distance $x$ , find the work done on the block by the spring for this range. (The spring force is given by $F = - k x$ , where $k$ is spring constant and $x$ is displacement of the block.)

Q. Two springs have force constants

k_{1}

and

k_{2} (k_{1} > k_{2})

. On which spring is more work done, if (i) they are stretched by the same force and (ii) they are stretched by same distance?

Q. A block of mass

1 kg

is connected to a spring of spring constant

π^{2} N/m

fixed at the other end and kept on smooth level ground. The block is pulled by a distance of

1 cm

from its natural length position and released. After what time does the block compress the spring by

\frac{1}{2} cm

Two springs have their force constant as $k_{1}$ and $k_{2} (k_{1} > k_{2})$ . When they are stretched by the same force

Join BYJU'S Learning Program

Two springs of force constant 100 N/m and 150 N/m are in series as shown. The block is pulled by a distance of 2.5 cm to the right from equilibrium position. What is the ratio of work done by the spring 1 to the work done by the spring 2?

The correct option is A 3:2When connected in series, the force in both the springs is the same. So, k1x1=k2x2 Hence W1W2=k1x21k2x22=k2k1=32

Two springs of force constant $100 N / m$ and $150 N / m$ are in series as shown. The block is pulled by a distance of $2.5 c m$ to the right from equilibrium position. What is the ratio of work done by the spring $1$ to the work done by the spring $2$ ?

The correct option is A $3 : 2$
When connected in series, the force in both the springs is the same. So, $k_{1} x_{1} = k_{2} x_{2}$

Hence
$\frac{W_{1}}{W_{2}} = \frac{k_{1} x_{1}^{2}}{k_{2} x_{2}^{2}} = \frac{k_{2}}{k_{1}} = \frac{3}{2}$