A spring of force constant 800N//m has a...

A spring of force constant `800N//m` has an extension of 5cm. The work done in extending it from 5cm to 15cm is

16 J

8 J

32 J

24 J

Text Solution

Verified by Experts

The correct Answer is:

`W=(1)/(2)k(x_(2)^(2)-x_(1)^(2))=(1)/(2)xx800xx(15^(2)-5^(2))xx10^(-4)=8J`

Topper's Solved these Questions

WORK , ENERGY , POWER AND COLLISION
ERRORLESS |Exercise Ordinary Thinking (Objective Questions) (Conservation of Energy and Momentum)|87 Videos
WORK , ENERGY , POWER AND COLLISION
ERRORLESS |Exercise Ordinary Thinking (Objective Questions) (Power)|31 Videos
WORK , ENERGY , POWER AND COLLISION
ERRORLESS |Exercise Self Evaluation Test|19 Videos
WAVES AND SOUND
ERRORLESS |Exercise SET|25 Videos
WORK, ENERGY, POWER & COLLISION
ERRORLESS |Exercise Assertion|30 Videos

Similar Questions

Explore conceptually related problems

A spring of force constant 800 Nm^(-1) is stretched initially by 5 cm . The work done in stretching from 5 cm to 15 cm is

A spring of force constant 4000N/m when stretched by 8 cm, the potential energy stored in it will be?

A spring with spring constant k is extended from x=0 to x=x_(1) . The work done will be

An extension of 10 cm is produced in a spring (spring constant = 1000 Nm^(-1) ). Calculate the work done to increase the extension from 10 cm to 20 cm.

K is the force constant of a spring. The work done in increasing its extension from l_1 to l_2 will be

Two springs of force constant 100N//m and 150N//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 spring has spring constant k = 200 N/m. How much work does it take to stetch the sprin from 10 cm to 20 cm from equilibrium ?

ERRORLESS -WORK , ENERGY , POWER AND COLLISION-Ordinary Thinking (Objective Questions) (Work Done by Variable Force)

A spring 40 mm long is stretched by the application of a force. If 10 ...
Text Solution
|
A position dependent force F=7-2x+3x^(2) acts on a small body of mass ...
Text Solution
|
A body of mass 3 kg is under a force , which causes a displacement in ...
Text Solution
|
The force constant of a wire is k and that of another wire is . 2k Whe...
Text Solution
|
A body of mass 0.1 g moving with a velocity of 10 m/s hits a spring (f...
Text Solution
|
When a 1.0kg mass hangs attached to a spring of length 50 cm, the spri...
Text Solution
|
A spring of force constant 800N//m has an extension of 5cm. The work d...
Text Solution
|
When a spring is stretched by 2 cm, it stores 100 J of energy. If it i...
Text Solution
|
A spring when stretched by 2 mm its potential energy becomes 4 J. If i...
Text Solution
|
A spring of spring constant 5 xx 10^(3) N//m is stretched initially by...
Text Solution
|
A mass of 0.5 kg moving with a speed of 1.5 m//s on a horizontal smoot...
Text Solution
|
A particle moves in a straight line with retardation proportional to i...
Text Solution
|
A spring with spring constant K when stretched through 1 cm, the poten...
Text Solution
|
A spring with spring constant k is extended from x=0 to x=x(1). The wo...
Text Solution
|
When a long spring is stretched by 2 cm, its potential energy is V. If...
Text Solution
|
Natural length of a spring is 60 cm, and its spring constant is 4000 N...
Text Solution
|
If a spring extends by x on loading, then the energy stored by the spr...
Text Solution
|
The potential energy of a body is given by U = A - Bx^(2) (where x is ...
Text Solution
|
The potential energy between two atoms in a molecule is given by, U(x)...
Text Solution
|
Which one of the following is a non-conservative force ?
Text Solution
|