CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Potential Energy

A particle of...

Question

A particle of mass $2 k g$ performing of SHM and its potential energy function is given as $U = 4 x^{2} - 20 x .$ If maximum potential energy is $75 J$ then:
The equilibrium position of a particle is -

A

x = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

x = 2.5 m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

x = 5 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

N o n e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $x = 2.5 m$
Option B is correct.

Suggest Corrections

thumbs-up

0

Similar questions

Q. A particle of mass

2 k g

performing of SHM and its potential energy function is given as

U = 4 x^{2} - 20 x .

If maximum potential energy is

75 J

then:
Position of the particle when it is at its positive extreme -

Q. The potential energy of a particle oscillating along

X -

axis is given as

U = 15 + 4 x + (2 x - 3)^{2}

U

is in Joules and

x

in metres. Total mechanical energy of the particle is

36 J

. Mass of particle is

2 kg

Q. The potential energy of a particle of mass ‘m’ is given by U =

\frac{1}{2} k x^{2}

for x < 0 and U = 0 for

x \geq 0

. If total
mechanical energy of the particle is E. Then its speed for positive value of ‘x’ is

Q. The potential energy of a particle as a function of its position is given by

U = x^{3} - 6 x^{2}

(in SI units). The nature of equilibrium at

x = 4

Q. A single conservative force

F (x)

acts on a particle that moves along the x-axis. The graph of the potential energy with x is given. At

x = 5 m

, the particle has a kinetic energy of

50 J

and its potential energy is related to position 'x' as

U = 15 + (x - 3)^{2}

Joule, where x is in meter. Find the mechanical energy of the particle.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Potential Energy

PHYSICS

Watch in App

explore_more_icon

Explore more

Potential Energy

Standard IX Physics

Join BYJU'S Learning Program

CrossIcon