List of top Physics Questions on Energy in simple harmonic motion

A ring and a solid sphere are released from rest from the same height on enough rough inclined surface. The ratio of their speed when they reach the bottom is $ \sqrt{\frac{7}{x}} $ m/s, then $ x $ is ______.

A pendulum of length 4 m is located at a height R above the earth's surface.The period of the simple pendulum is $2\pi\sqrt{\frac{8}{x}}$ seconds. Find x.

Find the ratio of K.E. and P.E. when a particle performs SHM when it is at $ \frac{1}{n} $ times of its amplitude from the mean position.

From a height of 'h' above the ground, a ball is projected up at an angle $ 30^\circ $ with the horizontal. If the ball strikes the ground with a speed of 1.25 times its initial speed of $ 40 \ ms^{-1} $, the value of 'h' is:

Impending motion is opposed by:

A particle of 100 g mass is projected vertically up with a kinetic energy of 20 J. The maximum height reached by the particle is ($ g = 10 $ m/s$ ^2 $) (neglecting air resistance).

A bullet of mass $10^{-2}$ kg and velocity $200$ m/s gets embedded inside the bob of mass $1$ kg of a simple pendulum. The maximum height that the system rises by is_____ cm.

In a simple pendulum of length 10 m, the string is initially kept horizontal and the bob is released. 10% of energy is lost till the bob reaches the lowest position. Then find the speed of the bob at the lowest position.

The length of a seconds pendulum if it is placed at height $2R$ from the surface of the earth (R: radius of earth) is $\frac{10}{xπ^2}$ $m$. Find $x$

A block is fastened to a horizontal spring. The block is pulled to a distance $x=10\ cm$ from its equilibrium position (at $x=0$ ) on a frictionless surface from rest. The energy of the block at $x=5$ $cm$ is $025 J$. The spring constant of the spring is _____$Nm ^{-1}$.

The maximum potential energy of a block executing simple harmonic motion is $25 J$ A is amplitude of oscillation At $A / 2$, the kinetic energy of the block is

In a simple harmonic motion, let f be the acceleration and T be the time period. If x denotes the displacement, then |fT| vs. x graph will look like:

A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

For a certain organ pipe, the first three resonance frequencies are in the ratio of 1:3:5 respectively. If the frequency of fifth harmonic is 405 Hz and the speed of sound in air is 324 ms^-1 the length of the organ pipe is ___ m.

The amplitude of a particle executing SHM is $3 \,cm$ The displacement at which its kinetic energy will be $25 \%$ more than the potential energy is:_______ $cm$

An observer is riding on a bicycle and moving towards a hill at $18 \,kmh ^{-1}$ He hears a sound from a source at some distance behind him directly as well as after its reflection from the hill If the original frequency of the sound as emitted by source is $640\, Hz$ and velocity of the sound in air is $320\, m / s$, the beat frequency between the two sounds heard by observer will be _______Hz

The velocity of a particle executing SHM varies with displacement $(x)$ as $4 v^2=50-x^2$ The time period of oscillations is $\frac{x}{7} s$ The value of $x$ is _______(Take $\pi =\frac{22}{7}$)

A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

A nucleus with mass number 242 and binding energy per nucleon as 7.6 MeV breaks into fragment each with mass number 121. If each fragment nucleus has binding energy per nucleon as 8.1 MeV, the total gain in binding energy is ____MeV.