You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Conservation of Momentum

A particle mo...

Question

A particle moves in the x-y plane under the action of a force $\to F = - 2 k s i n k t (^i +^j)$ at any time t its linear momentum is given by $P_{x} = 2 c o s (k t) a n d P_{y} = 2 c o s (k t)$ The angle between $\to F a n d \to P$ at time t is

0^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

90^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

180^{\circ}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $180^{\circ}$
$\to P = 2 c o s k t (^i +^j) F = - 2 k s i n k t (^i +^j)$
Angle between $\to F a n d \to P i s 180^{\circ}$

Suggest Corrections

Similar questions

A particle moves in the x-y plane under the action of a force F such that the value of its linear momentum $(\to P)$ at any time 't' is $P_{x} = 2 c o s t, P_{y} = 2 s i n t$ .The angle $θ$ between $\to F$ and $\to P$ at a given time t. will be

Q. A particle moves in the

x y - p l a n e

under the action of a force

F

such that the components of its linear momentum

p

at any time

t

are

p_{x} = 2 cos t, p_{y} = 2 sin t

. The angle between

F

and

p

at time

t

Q. A particle moves in the

x y

plane under action of a force

F

such that the value of its linear momentum

(P)

at any time

t

P_{x} = 2 cos t, P_{y} = 2 sin t

. The angle

Θ

between

P

and

F

at that time

t

will be :

Q. A particle moves in X-Y plane under the action of forces

F

such that the values of linear momentum

p

at any times is

p_{x} = 2 cos t

and

p_{y} = 2 sin t

. The angle between

\to F

and

\to p

at the time

t

will be:

Q. A particle moves in the

x - y

plane under the action of a force

\to F

such that the value of its linear momentum

\to p

at any instant is

\to p = 2 (cos t^i + sin t^j)

. The angle

θ

between

\to F

and

\to p

Join BYJU'S Learning Program

A particle moves in the x-y plane under the action of a force →F=−2k sin kt(^i+^j) at any time t its linear momentum is given by Px=2cos(kt)andPy=2cos(kt) The angle between →F and→P at time t is

The correct option is D 180∘→P=2coskt(^i+^j)F=−2k sin kt(^i+^j) Angle between →F and→P is 180∘

A particle moves in the x-y plane under the action of a force $\to F = - 2 k s i n k t (^i +^j)$ at any time t its linear momentum is given by $P_{x} = 2 c o s (k t) a n d P_{y} = 2 c o s (k t)$ The angle between $\to F a n d \to P$ at time t is

The correct option is D $180^{\circ}$
$\to P = 2 c o s k t (^i +^j) F = - 2 k s i n k t (^i +^j)$
Angle between $\to F a n d \to P i s 180^{\circ}$