Home
Class 11
PHYSICS
A block of mass 100 g attached to a spri...

A block of mass `100 g` attached to a spring of stiffness `100 N//m` is lying on a frictionless floor as shown. The block is moved to compress the spring by `10 cm` and released. If the collision with the wall is elastic then find the time period of oscillations.

A

0.2 s

B

0.1 s

C

0.15 s

D

0.132 s

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `T=2pisqrt((m)/(k))=2pisqrt((0.1)/(100))=0.198 s`
From `x=A"sin"omegat` or `5=10 "sin"omegat`
`omegat=(pi)/(6)` or `(2pi)/(T)t=(pi)/(6)` or `2t=(T)/(6)`
The desired time in the question will be `(T)/(2)+2t`
or `(T)/(2)+(T)/(6)=(2T)/(3)=((2)/(3))(0.198)=0.132 s`
Promotional Banner

Similar Questions

Explore conceptually related problems

A block of mass 0.9 kg attached to a spring of force constant k is lying on a frictionless floor. The spring is compressed to sqrt(2) cm and the block is at a distance 1//sqrt(2) cm from the wall as shown in the figure. When the block is released, it makes elastic collision with the wall and its period of motion is 0.2 sec . Find the approximate value of k

A block of mass m hangs from three springs having same spring constant k. If the mass is slightly displaced downwards, the time period of oscillation will be

In the figure, the block of mass m, attached to the spring of stiffness k is in correct with the completely elastic wall, and the compression in the spring is e. The spring is compressed further by e by displacing the block towards left and is then released. If the collision between the block and the wall is completely eleastic then the time period of oscillation of the block will be

A block of mass m hangs from a vertical spring of spring constant k. If it is displaced from its equilibrium position, find the time period of oscillations.

A block of mass m compresses a spring iof stifffness k through a distacne l//2 as shown in the figure .If the block is not fixed to the spring the period of motion of the block is

A block of mass 'm' is released on the top of a frictionless incline as shown in the figure. The time period of the oscillation of the block is

A block of mass m is connected to a massless pulley and mass-less spring of stiffness k. The pulley is frictionless. The string is mass-less. Initially the spring is unstretched when the block is released. When the spring is maximum stretched, find the ratio of tenstion in the rope and weight of the block.

A block of mass m = 2 kg is attached to two unstretched spring of force constant k_(1)=100 N//m and k_(2)=125 N//m The block is displaced towards left through a distance of 10 cm and released. Find the speed of the block as it passes through the mean position.

A block of mass m is attached to two unstretched springs of spring constant k , each as shown. The block is displaced towards right through a distance x and is released The speed of the block as it passes through the mean position will be

A block of mass m is attached with a spring in vertical plane as shown in the figure. If initially spring is in its natural length and the block is released from rest, then maximum extension in the spring will be