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

Similar Questions

Explore conceptually related problems

If a force vec(F) = (vec(i) + 2 vec(j)+vec(k)) N acts on a body produces a displacement of vec(S) = (4vec(i)+vec(j)+7 vec(k))m , then the work done is

During a storm, a crate of crepe is sliding across a slick, oily parking lot through a displacement vec(d)=(-3.0m)hat(i) while a steady wind pushes against the crate with a force vec(F)=(2.0N)hat(i)+(-6.0N)hat(j) . The situation and coordinate axes are shown in Fig. 8-6. If the crate has a kinetic energy of 10 J at the beginning of displacement vec(d) , what is its kinetic energy energy at the end of vec(d) ?

| 2vec i-3vec j + vec k | =

A particle has initial velocity vec(v)=3hat(i)+4hat(j) and a constant force vec(F)=4hat(i)-3hat(j) acts on the particle. The path of the particle is :

A force vec(F)=3hat(i)+chat(j)+2hat(k) acting on a particle causes a displacement vec(d)=-4hat(i)+2hat(j)+3hat(k) . If the work done is 6J then the value of 'c' is

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

Find the value of: (vec j xxvec k) * (3vec i + 2vec j-vec k)

A force vec(F)=3hat(i)+chat(j) +2hat(k) acting on a particle causes a displacement vec(d)=-4hat(i)+2hat(j)+3hat(k) . If the work done is 6j . Find the value of 'c' ?

The position of the particle is given by vec(r )=(vec(i)+2vec(j)-vec(k)) momentum vec(P)= (3vec(i)+4vec(j)-2vec(k)) . The angular momentum is perpendicular to

Examine if vec(i) - 3vec(j) + 2vec(k), 2vec(i) - 4vec(j) - vec(k) and 3vec(i) + 2vec(j) - vec(k) are linearly independent or dependent .