A spring is attached to a 2kg object with a spring constant of 1 N/m. The spring applies a force $F_{1}$ when compressed by a distance of 1m and the a force $F_{2}$ when stretched by a distance 1m. What is the magnitude of $F_{2} - F_{1}$ ?

0 N

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

1 N

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

2 N

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

4 N

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

Open in App

Solution

The correct option is C 2 N
Force applied by spring is restoring in nature.
Hence, $F_{1}$ and $F_{2}$ are opposite in sign.
$F_{1} = 1 \times 1 = 1 N$
$F_{2} = - 1 \times 1 = - 1 N$
$| F_{2} - F_{1} | = 2 N$

Suggest Corrections

Similar questions

A block of mass m, when attached to a uniform ideal spring with force constant k and free length L executes SHM. The spring is then cut in two pieces, one with free length nL and other with free length (1-n)L. The block is also divided in the same fraction. The smaller part of the block attached to longer part of the spring executes SHM with frequency $f_{1}$ . The bigger part of the block attached to smaller part of the spring executes SHM with frequency $f_{2}$ . The ratio $\frac{f_{1}}{f_{2}}$ is

A massless spring of force constant 1000 N/m is compressed a distance of 20cm between discs of 8kg and 2kg, spring is not attached to discs. The system is given an initial velocity 3m/s perpendicular to length of spring as shown in figure. What is ground frame speed of 2 kg block (in m/s) when spring regains its natural length.

Q. Suppose you push a spring with a force

F_{1}

as shown in figure, the spring also pushes up on your hand with a force

F_{2}

. What is the relationship between

F_{1}

and

F_{2}

The length of a steel wire when stretched by a force $F_{1}$ is $l_{1}$ and when stretched by a force $F_{2}$ is $l_{2}$ .The unstretched length of the wire is

Q. For the spring block arrangement as shown in figure:

Given that

k_{1} = 2 k_{2}

. If force applied by the first spring on the block is

F_{1}

and force applied by the second spring on the block is

F_{2}

, choose the correct option(s) if the block is in equilibrium with the action of an external force

30 N

on the block.

Join BYJU'S Learning Program

A spring is attached to a 2kg object with a spring constant of 1 N/m. The spring applies a force F1 when compressed by a distance of 1m and the a force F2 when stretched by a distance 1m. What is the magnitude of F2−F1?

The correct option is C 2 NForce applied by spring is restoring in nature. Hence, F1 and F2 are opposite in sign.F1=1×1=1NF2=−1×1=−1N|F2−F1|=2N

A spring is attached to a 2kg object with a spring constant of 1 N/m. The spring applies a force $F_{1}$ when compressed by a distance of 1m and the a force $F_{2}$ when stretched by a distance 1m. What is the magnitude of $F_{2} - F_{1}$ ?

The correct option is C 2 N
Force applied by spring is restoring in nature.
Hence, $F_{1}$ and $F_{2}$ are opposite in sign.
$F_{1} = 1 \times 1 = 1 N$
$F_{2} = - 1 \times 1 = - 1 N$
$| F_{2} - F_{1} | = 2 N$