Home
Class 12
PHYSICS
A particle which is experiencing a force...

A particle which is experiencing a force, given by `vec(F) = 3 vec(i) - 12 vec(j)`, undergoes a displacement of `vec(d) = 4 vec(i)`. If the particle had a kinetic energy of 3 J at the beginning of the displacement

Text Solution

Verified by Experts

The correct Answer is:
15

Work done by a force = Change in kinetic energy `(Delta K.E.)`
`rArr Delta K.E.=vecF*vecd=(3hati-12hatj)*(4hati)=12J`
`rArr K_(f)=(K_(i)+12)J=15J`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST-3 (2020)

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos
  • JEE MAIN REVISION TEST-3

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 1)|3 Videos
  • JEE Main Revision Test-6 | JEE-2020

    VMC MODULES ENGLISH|Exercise PHYSICS|2 Videos

Similar Questions

Explore conceptually related problems

If a particle is moving as vec(r) = ( vec(i) +2 vec(j))cosomega _(0) t then,motion of the particleis

An object is acted upon by the forces vec(F)_(1)=4hat(i)N and vec(F)_(2)=(hat(i)-hat(j))N . If the displacement of the object is D=(hat(i)+6hat(j)-hat(k)) m, the kinetic energy of the object

A particle has initial velocity (2 vec(i)+3 vec(j)) and acceleration (0.3 vec (i)+0.2 vec (j)) . The magnitude of velocity after 10 seconds will be

The work done by the force vec( F ) = 6 hat(i) + 2 hat(j) N in displacing an object from vec( r_(1)) = 3 hat(i) + 8 hat( j) to vec( r_(2)) = 5 hat( i) - 4 hat(j) m , is

An impulse vec(I) changes the velocity of a particle from vec(v)_(1) to vec(v)_(2) . Kinetic energy gained by the particle is :-

Given vec(P)=3hat(i)-4hat(j) . Which of the following is perpendicular to vec(P) ?

A force vec F = (5 vec i+ 3 vec j+ 2 vec k) N is applied over a particle which displaces it from its origin to the point vec r=(2 vec i- vec j) m . The work done on the particle in joules is.

A force vec(F)=2hat(i)-3hat(j)+7hat(k) (N) acts on a particle which undergoes a displacement vec(r )=7hat(j)+3hat(j)-2hat(k)(m) . Calculate the work done by the force.

let vec a = 2hat i +3hat j and vec b = hat i +4hat j then find projection of vec a on vec b

A charged particle moves with velocity vec v = a hat i + d hat j in a magnetic field vec B = A hat i + D hat j. The force acting on the particle has magnitude F. Then,