KE & PE Graph

Q.

For a particle executing simple harmonic motion, the kinetic energy K is given by K = $K_{0}co{s}^2\omega t$ . The maximum value of potential energy is

1. Zero

2. 

3. Not obtainable

4. 

Q.

The potential energy of a particle executing S.H.M. is 2.5 J, when its displacement is half of amplitude. The total energy of the particle be

1. 18J

2. 10J

3. 12J

4. 2.5J

Q. A body is executing SHM with amplitude a and time period T. The ratio of kinetic and potential energy whendisplacement from the equilibrium position is half the amplitude(1) 1:1(2) 2:1(3) 1:3(4) 3:1

Q. if density D , frequency F and fundamental quantities then the dimemsiinal formula for kinetic energy should be??

Q. Why the time period of oscillation of kinetic energy for a harmonic oscillator is half the time period (T) then what will it be for potential energy?

Q.

When the displacement is half the amplitude, the ratio of potential energy to the total energy is

1. 

2. 

3. 

4. 1

Q. 34.Prove that power is equal to rate of change of kinetic energy.

Q.

Locate the centre of mass of a uniform hemi spherical shell of radius R with reference to point 0 {as shown in figure}

1. 

2. 

3. 

4. 

Q. A body performs SHM along the straight line segment ABCDE with C as the mid point of segment AE (A and E are the extreme position for the SHM). Its kinetic energies at B and D are each one-fourth of its maximum value. If length of segment AE is 2R, then the distance between B and D is :- (1) dfrac{{sqrt 3 }}{2}R (2) dfrac{R}{{sqrt 2 }} (3) sqrt 3 R (4) sqrt 3 , R

Q. power P(in watt) given to a particle, changes with time t (in s) as P=t^2+t+1. the change in kinetic energy from t=0 to t=1 s is (1)11/6J (2)11J (3) 6J (4) 22/3

Q. Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same period

Q. A body executing shm with amplitude a and time period t .the ratio of kinetic energy and potential energy when displacement from the equilibrium position is half the amplitude

Q.

Showthat for a particle in linear SHM the average kinetic energy over aperiod of oscillation equals the average potential energy over thesame period.

Q. For a particle executing S.H.M. the displacement $x$ is given by $x=A\cos \omega t$. Identify the graph which represents the variation of potential energy $\text{(P.E.)}$ as a function of time $t$ and displacement $x$.

1. $\text{I, III}$
2. $\text{II, IV}$
3. $\text{II, III}$
4. $\text{I, IV}$

Q. For a particle executing S.H.M. the displacement $x$ is given by $x=A\cos \omega t$. Identify the graph which represents the variation of potential energy $\text{(P.E.)}$ as a function of time $t$ and displacement $x$.

1. $\text{I, III}$
2. $\text{II, IV}$
3. $\text{II, III}$
4. $\text{I, IV}$

Q. A body is executing SHM with amplitude a and time period t the ratio of kinetic and potential energy when displacement from the equilibrium position is half the amplitude

Q. 6. Whats relation btw int. Energy & enthalpy?

Q. In a standing wave, the energy is confined between two nodes.

1. False
2. True

Q. A body executes simple harmonic motion. The potential energy $\left(PE\right)$, the kinetic energy $\left(KE\right)$ and total energy $\left(TE\right)$ are measured as a function of displacement $\left(x\right)$. Which of the following statements is true?

1. $PE$ is maximum when $x=0$
2. $KE$ is maximum when $x=0$
3. $TE$ is zero when $x=0$
4. $KE$ is maximum when $x$ is maximum