A particle is shifted from point 0-0-1 m to 1 m - 1 m - 2 m - under the simultaneous action of several forces- Two of the forces are F 1-2 - 3 -k- N and F 2-2 -2 k- N- Find the work done by these two forcesA- 5 JB- 10 JC- 12 JD- 7 J

As particle is shifted from point (0,0,1 m) to (1 m, 1 m, 2 m) Displacement vector Δr=(î + ĵ + k̂) net force acting is F_1+F_2 nbsp; = (2î + 3 ĵ k̂) N+(î ...

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

Byju's Answer

Standard XII

Physics

Work by Multiple Forces

A particle is...

Question

A particle is shifted from point $(0, 0, 1 m)$ to $(1 m, 1 m, 2 m)$ , under the simultaneous action of several forces. Two of the forces are $_{1} = (2^i + 3^j -^k) N$ and $_{2} = (^i - 2^j + 2^k) N$ . Find the work done by these two forces

7 J

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

5 J

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

10 J

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

12 J

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

Open in App

Solution

The correct option is B $5 J$
As particle is shifted from point $(0, 0, 1 m)$ to $(1 m, 1 m, 2 m)$
Displacement vector $Δ \to r = (^i +^j +^k)$
net force acting is $_{1} +_{2} = (2^i + 3^j -^k) N + (^i - 2^j + 2^k) N = (3^i +^j +^k)$
Work done by a constant force equals to the dot product of the force and displacement vectors.
$W = \to F . Δ \to r \Rightarrow W = (_{1} +_{2}) . Δ \to r$
Substituting the given values, we have $W = (3^i +^j +^k) . (^i +^j +^k) = 3 + 1 + 1 = 5 J$

Suggest Corrections

Similar questions

Q. A particle is shifted from point

(0, 0, 1 m)

(1 m, 1 m, 2 m)

, under the simultaneous action of several forces. Two of the forces are

_{1} = (2^i + 3^j -^k) N

and

_{2} = (^i - 2^j + 2^k) N

. Find the work done by these two forces

Q. A force

\to F = (5^i + 3^j + 2^k) N

is applied over a particle which displaces it from origin to the point

\to r = (2^i -^j) m

. The work done on the particle is

Q. Three constant forces

_{1} = (2^i - 3^j + 2^k) N,_{2} = (^i +^j -^k) N

and

_{3} = (3^i +^j - 2^k) N

displace a particle from

(1, - 1, 2) m

(- 1, - 1, 3) m

and then to

(2, 3, 4) m

, displacement being measured in meters. Find the total work done by the forces.

Q. A block is displaced from (1m, 4m, 6m) to

(2^i + 3^j - 4^k)

m under a constant force

\to F = (6^i - 2^j +^k) N .

Find the work done by this force.

Q. A particle is displaced from point

A (1, 2, 3)

B (1, 3, 4)

under action of two constant forces

{\to F}_{1} =

^i + 2^j +^k

and

{\to F}_{2} =

^i +^j

. Find the total work done on the particle to move it from point

A

B

Join BYJU'S Learning Program

A particle is shifted from point (0,0,1 m) to (1 m,1 m,2 m), under the simultaneous action of several forces. Two of the forces are −→F1=(2^i+3^j−^k) N and −→F2=(^i−2^j+2^k) N. Find the work done by these two forces

A particle is shifted from point $(0, 0, 1 m)$ to $(1 m, 1 m, 2 m)$ , under the simultaneous action of several forces. Two of the forces are $_{1} = (2^i + 3^j -^k) N$ and $_{2} = (^i - 2^j + 2^k) N$ . Find the work done by these two forces