A particle of mass m=1kg is dropped from...

A particle of mass `m=1kg` is dropped from a height `h=40cm` on a light horizontal platform fixed to one end of an elastic spring, the other being fixed to a base, as shown in the diagram. The particle collides with the platform and sticks to it. As a result, the spring is compressed by an amount `x=10cm`. What is the force constant of the spring?
(Take `g=10ms^(-2)`)

`"600 N m"^(-1)`

`"800 N m"^(-1)`

`"1000 N m"^(-1)`

`"1200 N m"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

NTA JEE MOCK TEST 56
NTA MOCK TESTS|Exercise PHYSICS|25 Videos
NTA JEE MOCK TEST 58
NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A ball of mass m is droppped from a height h on a platform fixed at the top of a vertical spring. The platform is depressed by a distance x . What is the spring constant K ?

A block of 200 g mass is dropped from a height of 2 m on to a spring and compress the spring to a distance of 50 cm. The force constant of the spring is

A block of mass 2kg is propped from a height of 40cm on a spring where force constant is 1960Nm^(-1) The maximum distance thought which the spring compressed by

A block of mass m initially at rest is dropped from a height h on to a spring of force constant k . the maximum compression in the spring is x then

A particle of mass 5kg is free to slide on a smooth ring of radius r=20cm fixed in a vertical plane. The particle is attached to one end of a spring whose other end is fixed to the top point O of the ring. Initially, the particle is at rest at a point A of the ring such that /_OCA=60^@ , C being the centre of the ring. The natural length of the spring is also equal to r=20cm . After the particle is released and slides down the ring, the contact force between the particle and the ring becomes zero when it reaches the lowest position B. Determine the force constant (i n xx 10^2Nm^-1) of the spring.

A massless platform is kept on a light elastic spring as shown in figure. When a small stone of mass 0.1 kg is dropped on the pan from a height of 0.24 m, the spring compresses by 0.01m. From what height should the stone be droppped to cause a compression of 0.04m in the spring ?

A spring is compressed by 10 cm by a ball of mass 20 g . What will be the potential energy of a spring if the force constant of the spring is 20 N cm^(-1) .

NTA MOCK TESTS-NTA JEE MOCK TEST 57-PHYSICS

Three infinitely long thin wires, each carrying current i in the same ...
Text Solution
|
Two cars A and B are moving with speed of 15ms^-1 and 5 ms^-1, and acc...
Text Solution
|
Two blocks of masses m(1) and m(2) being connected with a light spring...
Text Solution
|
To determine the half life of a radioactive element , a student plot a...
Text Solution
|
A cylinder piston of mass M sides smoothly inside a long cylinder clos...
Text Solution
|
The graph shows the variation of photocurrent with the applied voltage...
Text Solution
|
A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 ...
Text Solution
|
In a compound microscope, the objective and eye piece have focal lengt...
Text Solution
|
A cyclist riding a bicycle at a speed of 14sqrt(3) m/s takes a ...
Text Solution
|
A Ge specimen is dopped with Al. The concentration of acceptor atoms i...
Text Solution
|
A monoatomic gas undergoes a process in which the pressure (P) and the...
Text Solution
|
Two resistance are measured in ohm and is given as:- R(1)=3Omega+-1%...
Text Solution
|
Unpolarised light falls on two polarizing sheets placed one on top of ...
Text Solution
|
The length of a sonometer wire tuned to a frequency of 250 Hz is 0.60 ...
Text Solution
|
A particle of mass m=1kg is dropped from a height h=40cm on a light ho...
Text Solution
|
A nucleus with Z =92 emits the following in a sequence: alpha,beta^(...
Text Solution
|
A body of mass m moving with velocity v collides head on with another ...
Text Solution
|
A larger spherical mass M is fixed at one position and two identical p...
Text Solution
|
Two rectangular blocks A and B of different metals have same length an...
Text Solution
|
Two moles of monatomic ideal gas is taken through a cyclic process sho...
Text Solution
|