Home
Class 12
PHYSICS
The velocity of a particle of mass 2 kg ...

The velocity of a particle of mass 2 kg is given by `vec(v)=at hat(i)+bt^(2)hat(j)`. Find the force acting on the particle.

Text Solution

AI Generated Solution

To find the force acting on a particle with a given velocity, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. The acceleration can be derived from the velocity function provided. ### Step-by-Step Solution: 1. **Identify the given quantities:** - Mass of the particle, \( m = 2 \, \text{kg} \) - Velocity of the particle, \( \vec{v} = a \hat{i} + b t^2 \hat{j} \) ...
Promotional Banner

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION & FRICTION

    MOTION|Exercise Problem|26 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    MOTION|Exercise Questions For Practice|25 Videos

  • MODERN PHYSICS -1

    MOTION|Exercise EXERCISE-4 ( LEVEL- II)|39 Videos

  • NLM & FRICTION

    MOTION|Exercise EXERCISE-4 ( LEVEL-II)|15 Videos

Similar Questions

Explore conceptually related problems

The position vector of a particle of mass m= 6kg is given as vec(r)=[(3t^(2)-6t) hat(i)+(-4t^(3)) hat(j)] m . Find: (i) The force (vec(F)=mvec(a)) acting on the particle. (ii) The torque (vec(tau)=vec(r)xxvec(F)) with respect to the origin, acting on the particle. (iii) The momentum (vec(p)=mvec(v)) of the particle. (iv) The angular momentum (vec(L)=vec(r)xxvec(p)) of the particle with respect to the origin.

A force (hat(i)-2hat(j)+3hat(k)) acts on a particle of position vector (3hat(i)+2hat(j)+hat(k)) . Calculate the torque acting on the particle.

A force vec(F) = (2hat(i) - 3hat(j) +7hat(k)) N is applied on a particle which displaces it by vec(S) = (4hat(i)+5hat(j) +hat(k)) . Find the work done on the particle .

The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) + 6 hat(k)" " "when at" " " vec(r) = - 2 hat(i) + 4 hat (j) + 6 hat(k). The angular momentum of the particle about the origin is

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,

An alpha particle is moving with a velocity of (7 xx 10^(5) hat I m//s) in a magnetic field of (5 hat I + 9 hat j) T. Find the magnetic force acting on the particle.

The velocity of particle is 3hat(i) +2hat(j)+3hat(k) . Find the vector component of the velocity along the line hat(i) -hat(j)+hat(k) .

A particle having mass 2 kg is moving with velcoity (2 hat(i) + 3 hat(j))m//s . Find angular momentum of the particle about origin when it is at (1, 1, 0).