# Kinetic Energy Formulae

## Trending Questions

**Q.**A body of mass 1 kg is executing simple harmonic motion. Its displacement x (in cm) at time t (in second) is given by

x=6 sin(100 t+π4)The maximum kinetic energy of the body is

- 6 J
- 18 J
- 24 J
- 36 J

**Q.**

What is effective mass of the spring?

**Q.**Force constant of a weightless spring is 16 N/m. A body of mass 1.0 kg suspended from it is pulled down through 5 cm from its mean position and then released. The maximum kinetic energy of the body will be

- 2×10−2 J
- 4×10−2 J
- 8×10−2 J
- 16×10−2 J

**Q.**A spring stretches by 0.05 m when a mass of 0.5 kg is hung from it. A body of mass 1.0 kg is attached to one of its ends, the other end being fixed to the wall. The body is pulled 0.01 m along a horizontal frictionless surface and released. What is the total energy of the oscillator. Assume the string to have negligible mass and take g=10ms−2

- 0.005 J
- 0.05 J
- 0.5 J
- 5 J

**Q.**A particle is executing linear simple harmonic motion of amplitude A. What fraction of the total energy is kinetic when the displacement is half the amplitude?

- 14
- 12√2
- 12
- 34

**Q.**A particle executes SHM, at what value of displacement are the kinetic and potential energies equal ?

- √2 A
- A√2
- √32A
- √23A

**Q.**For an object executing SHM, kinetic energy 'K' becomes zero when amplitude become

- equal to
- less than
- greater than

**Q.**

A particle executes S.H.M (a) What fraction of total energy is kinetic? What fraction is potential when displacement is one half of the amplitude?

34 and 14

23 and 13

12 and 12

16 and 56

**Q.**

Starting from the mean position a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy ?

(16)s

(14)s

(13)s

(112)s

**Q.**The total energy of a particle performing SHM is E. What will be the kinetic energy of the particle, when displacement is half of the amplitude?

- √32E
- E2
- 3E4
- E3

**Q.**

A loaded vertical spring executes simple harmonic oscillations with period of 4 s. The difference between the kinetic energy and potential energy of this system oscillates with a period of

8 s

1 s

2 s

4 s

**Q.**Two bodies A and B of equal masses are suspended from two separate springs of force constants k1 and k2 respectively. If the two bodies oscillate such that their maximum velocities are equal, the ratio of the amplitudes of oscillation of A and B will be

- k1k2
- √k1k2
- k2k1
- √k2k1

**Q.**A spring block system is put into SHM in two experiments. In the first experiment, the block is pulled from the equilibrium position through a distance d1 and then released. In the second experiment, it is pulled from the equilibrium position through a greater distance d2 and then released. For the given scenario choose the incorrect statement.

- Time period is same for both SHM
- Frequency is same for both SHM
- Maximum kinetic energy is same for both SHM
- Angular frequency is same for both SHM

**Q.**A body of mass 2 kg is executing simple harmonic motion. Its displacement y (in cm) at t seconds is given by y=6sin(200t+π6). Find its maximum kinetic energy.

- 144 kJ
- 12 J
- 48 kJ
- 144 J

**Q.**A particle of mass 0.3 kg executes SHM with an amplitude 0.06 m and frequency 10 vibrations/sec. Find its total energy of oscillation.

- 5 J
- 2.13 J
- 3 J
- 8.5 J

**Q.**The total energy of a particle performing SHM is E. What will be the kinetic energy of the particle, when displacement is half of the amplitude?

- √32E
- E2
- 3E4
- E3

**Q.**The total vibrational energy of a particle in SHM is E. Its kinetic energy at half the amplitude from mean position will be :

- E/2
- E/3
- E/4
- 3E/4