A particle moves in the x-y plane under ...

A particle moves in the x-y plane under the action of a force `vec F` such that its linear momentum `vec P` at any time t is `vec P=2cost hati+2sint hatj`. The angle between `vec F` and `vec P` at a given time t will be

`0^(@)`

`30^(@)`

`90^(@)`

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

LAWS OF MOTION
VMC MODULES ENGLISH|Exercise ENABLE|50 Videos
LAWS OF MOTION
VMC MODULES ENGLISH|Exercise EFFICIENT|50 Videos
KINEMATICS OF A PARTICLE
VMC MODULES ENGLISH|Exercise JEE Advanced (archive)|14 Videos
LIQUIDS
VMC MODULES ENGLISH|Exercise JEE ADVANCED (LEVEL -2)|55 Videos

Similar Questions

Explore conceptually related problems

A particle moves in the x-y plane under the action of a force vecF such that the value of its linear momentum vecP at any time t is P_(x)=2 cost and p_(y)=2sint . What is the angle theta between vecF and P at a given time t?

A particle moves in the xy-plane under the action of a force F such that the components of its linear momentum p at any time t and p_(x)=2cos t, p_(y)=2sin t. the angle between F and p at time t is

What can be the angle between (vec(P) + vec(Q)) and (vec(P) - vec(Q)) ?

A particle of mass 2 kg moves in the xy plane under the action of a constant force vec(F) where vec(F)=hat(i)-hat(j) . Initially the velocity of the particle is 2hat(j) . The velocity of the particle at time t is

The resultant vec(P) and vec(Q) is perpendicular to vec(P) . What is the angle between vec(P) and vec(Q) ?

Given : vec A = hati + hatj +hatk and vec B =-hati-hatj-hatk What is the angle between (vec A - vec B) and vec A ?

What is the angle between (vec(P)+vec(Q)) and (vec(P)xxvecQ)?

If vec(P).vec(Q)= PQ , then angle between vec(P) and vec(Q) is

If |vec(P) + vec(Q)| = |vec(P) - vec(Q)| , find the angle between vec(P) and vec(Q) .

VMC MODULES ENGLISH-LAWS OF MOTION -IMPECCABLE

A particle moves in the x-y plane under the action of a force vec F su...
Text Solution
|
Coefficient of kinetic friction and coefficient of static friction bet...
Text Solution
|
A rough vertical board has an acceleration a so that a 2 kg block pres...
Text Solution
|
The square of resultant of two equal forces is three times their produ...
Text Solution
|
A body of mass 60 kg suspended by means of three strings, P, Q and R a...
Text Solution
|
Two equal forces are acting at a point with an angle of 60^(@) between...
Text Solution
|
A body is under the action of two mutually perpendicular forces of 3 N...
Text Solution
|
The apparent weight of a man in a lift is W(1) when lift moves upwards...
Text Solution
|
A man slides down on a telegraphic pole with an acceleration equal to ...
Text Solution
|
A body mass 2kg has an initial velocity of 3 metre//sec along OE and i...
Text Solution
|
An object of mass 10kg moves at a constant speed of 10 ms^(-1). A cons...
Text Solution
|
A block of mass M is pulled along horizontal firctionless surface by a...
Text Solution
|
A light spring balance hangs from the hook of the other light spring b...
Text Solution
|
A machine gun fires n bullets per second and the mass of each bullet i...
Text Solution
|
A cracker rocket is ejecting gases at a rate of 0.05 kg/s with a veloc...
Text Solution
|
Three block of masses m(1),m(2) and m(3) kg are placed in contact with...
Text Solution
|
A ball hits a vertical wall horizontal at 10 m/s bounces back at 10 m/...
Text Solution
|
A machine gun is mounted on a 200kg vehicle on a horizontal smooth roa...
Text Solution
|
The object at rest suddenly explodes into three parts with the mass ra...
Text Solution
|
A body of mass 50 kg is hung by a spring balance in a lift. Calculate ...
Text Solution
|
The x and y coordinates if the particle at any time are x=5t-2t^(2) an...
Text Solution
|