Home
Class 11
PHYSICS
An object of mass 3 kg is at rest . Now ...

An object of mass 3 kg is at rest . Now a force `F= 6t^(2) hati + 2thatj` is applied on the object . Find the velocity of the object at t =3 sec.

Text Solution

Verified by Experts

Impulse `= int_0^(3) F dt = int_0^(3) (6t^(2) hati + 2 t hatj ) dt = [2t^(3) hati + t^(2) hatj]_(0)^(3) = 54 hati + 9 hatj`
Impulse = change in linear momentum
` 54 hati + 9 hatj = m(barv- baru) , 54 hati + 9 hatj = 3(barv - bar0), barv = (18 hati + 3 hatj) m//s `
Promotional Banner

Similar Questions

Explore conceptually related problems

An object of mass 3 kg is at rest. Now a force of vec F = 6 t^2 hat i + 4 t hat j is applied on the object, the velocity of object at t= 3 s is.

An object of mass 3 kg is at rest. Now a force of vec F = 6 t^2 hat I + 4 t hat j is applied on the object, the velocity of object at t= 3 s is.

An object of mass 3 kg is at rest. Now a force of vec F = 6 t^2 hat I + 4 t hat j is applied on the object, the velocity of object at t= 3 s is.

In the given x - t graph. Find the position of an object at t = 3 second

An object of mass 2 kg at rest at origin starts moving under the action of a force vec(F)=(3t^(2)hat(i)+4that(j))N The velocity of the object at t = 2 s will be -

The position of a particle is expressed as vecr = ( 4t^(2) hati + 2thatj) m, where t is time in second. Find the velocity o the particle at t = 3 s

An object of mass 5 kg is acted upon by a force that varies with position of the object as shown. If the object starts out from rest at a point x=0. What is its speed at x=50 m.

Force is applied on an object of mass 2 kg at rest on a frictionless horizontal surface as shown in the graph. The speed of object at t=10 s will be

A force F= 2t^2 is applied to the cart of mass 10 Kg, initially at rest. The speed of the cart at t = 5 s is -

The displacement of an object of mass 3 kg is given by the relation S=(1)/(3)t^(2) , where t is time in seconds. If the work done by the net force on the object in 2 s is (p)/(q) joule, where p and q are smallest integer values, then what is the value of p+q ?