Q. 475.0( 1 Vote )
A block of mass sliding on a smooth horizontal surface with a velocity
meets a long horizontal spring fixed at one end and having spring constant k as shown in figure (8-E10). Find the maximum compression of the spring. Will the velocity of the block be the same as
when it comes back to the original position shown?

Answer :
The compression distance of the spring is given as
Given
The sliding velocity of the block is given as with spring constant k.
Formula Used
Using the conversation of energy, we equate the energies of spring compression and potential energy of the mass of the block, the formula of the energy stored in spring compression is
And the energy stored in the block is formulated as
where
The value of spring constant is denoted as “k”, the compression distance is “x”, the mass of the block is given as “m”, v is the velocity of the block.
Explanation
The kinetic energy of the block is given as
The energy stored in the compressed spring is given as
Equating the energies together we get the compression distance as
The compression distance of the spring is given as
Rate this question :






















The kinetic energy of a particle continuously increases with time.
HC Verma - Concepts of Physics Part 1Which of the diagrams shown in Fig. 6.7 represents variation of total mechanical energy of a pendulum oscillating in air as function of time?
Physics - ExemplarA smooth sphere of radius R is made to translate in a straight line with a constant acceleration α. A particle kept on the top of the sphere is released from there at zero velocity with respect to the sphere. Find the speed of the particle with respect to the sphere as a function of the angle θ it slides.
HC Verma - Concepts of Physics Part 1The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity where l is the length of the pendulum. Find the tension in the string when (a) the string is horizontal, (b) the bob is at its highest point and (c) the string makes an angle of 60o with the upward vertical.