The potential energy of a particle of ma...

The potential energy of a particle of mass 5 kg moving in the `x-y` plane is given by `U=(-7x+24y)J`, where x and y are given in metre. If the particle starts from rest, from the origin, then the speed of the particle at `t=2`s is

5 m/s

14 m/s

17.5 m/s

10 m/s

Text Solution

Verified by Experts

Topper's Solved these Questions

Work, Energy and power
SL ARORA|Exercise EXERCISE|415 Videos
Waves
SL ARORA|Exercise EXERCISE|558 Videos
WORK, POWER AND ENERGY
SL ARORA|Exercise Type F Based on Collisions|6 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a particle of mass 1 kg moving in X-Y plane is given by U=(12x+5y) joules, where x an y are in meters. If the particle is initially at rest at origin, then select incorrect alternative :-

The potential energt of a particle of mass 0.1 kg, moving along the x-axis, is given by U=5x(x-4)J , where x is in meter. It can be concluded that

The potential energy of a partical of mass 2 kg moving in y-z plane is given by U=(-3y+4z)J where y and z are in metre. The magnitude of force ( in newton ) on the particle is :

The potential energy of a particle of mass 5 kg moving in the x-y plane is given by U=-7x+24y joule, x and y being in metre. Initially at t = 0 the particle is at the origin. (0, 0) moving with a velocity of 6[2.4hat(i)+0.7hat(j)]m//s . The magnitude of force on the particle is :

The potential energy of a particle of mass 5 kg moving in xy-plane is given as U=(7x + 24y) joule, x and y being in metre. Initially at t=0 , the particle is at the origin (0,0) moving with velovity of (8.6hati+23.2hatj) ms^(1) , Then

The potential energy of a particle of mass 1 kg in a conservative field is given as U=(3x^(2)y^(2)+6x) J, where x and y are measured in meter. Initially particle is at (1,1) & at rest then:

SL ARORA-Work, Energy and power-EXERCISE

A taxi without any passengers, moving on a frictionless horizontal roa...
Text Solution
|
If the potential energy between two molecules is given by U= -(A)/(r^6...
Text Solution
|
The potential energy of a particle of mass 5 kg moving in the x-y plan...
Text Solution
|
A simple pendulum hanging freely and at rest is vertical because in th...
Text Solution
|
A pendulum of length 2 m lift at P . When it reaches Q , it losses 10%...
Text Solution
|
A pendulum bob on a 2 m string is displaced 60^(@) from the vertical a...
Text Solution
|
300J of work is done in slinding a 2 kg block up an inclined plane of ...
Text Solution
|
A body, thrown upward with some velocity reaches the maximum height of...
Text Solution
|
A uniform rope of total length l is at rest on a table with fraction f...
Text Solution
|
The dimensions of K in the equation W=1/2Kx^(2) is
Text Solution
|
The work done by the external agent in stretching a spring of force co...
Text Solution
|
A spring of force constant 800N//m has an extension of 5cm. The work d...
Text Solution
|
Two springs of spring constants 1500N//m and 3000N//m respectively are...
Text Solution
|
When a spring is stretched by 2 cm, it stores 100 J of energy. If it i...
Text Solution
|
A block of mass m initially at rest is dropped from a height h on to a...
Text Solution
|
A 15 gm ball is shot from a spring whose spring has a force constant o...
Text Solution
|
When a spring a stretched through a distance x, it exerts a force give...
Text Solution
|
The SI unit of power is .
Text Solution
|
An electric motor exerts a force of 40 N on a cable and pulls it by a ...
Text Solution
|
A particle moves with a velocity (5hati-3hatj+6hatk) ms ^(-1) under t...
Text Solution
|