Home
Class 11
PHYSICS
A body constrained to move along the x -...

A body constrained to move along the x - axis of a coordinate system is subjected to a constant force `vec(F)=(2hat(i)-hat(j)+4hat(k))N`, then what is the workdone by this force in moving the body over a distance of 4 m along the x - axis.

Text Solution

Verified by Experts

Force, `vec(F)=(2hat(i)-hat(j)+4hat(k))N`
Displacement `vec(s)=4hat(i)`
Since the displacement is the direction of applied force `theta = 0^(@)`
`W = vec(F)vec(s)=(2hat(i)-hat(j)+4hat(k)).(4hat(j))=8J`
the workdone by a force is W = 8 J.
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    SURA PUBLICATION|Exercise VALUE BASED QUESTIONS|5 Videos

  • WORK, ENERGY AND POWER

    SURA PUBLICATION|Exercise NUMERICAL PROBLEMS|18 Videos

  • WAVES

    SURA PUBLICATION|Exercise VALUE BASED QUESTIONS|2 Videos

Similar Questions

Explore conceptually related problems

A body is moving along z-axis of a coordinate system under the effect of a constant force F= (2veci+3hatj+vhatk)N . Find the work done by the force in moving the body a distance of 2 m along z-axis

Find out unit vector of vector vec(A) = 3 hat(i) - 2 hat(j) + 4 hat(k)

Find the intercept cut off by the plane vec(r)=(6hat(i)+4hat(j)-3hat(k))=12 on the coordinate axes.

The angle between the vector 3hat(i)+4hat(j)+5hat(k) and the z-axis is

Find the work done in moving a particle along a vectors vec(S)=(hat(i)-2hat(j)+3hat(k))m if applied force is vec(F)=(2hat(i)-3hat(j)+4hat(k))N .

A force vec(F)=3hat(i)+ c hat(j)+2hat(k) acting on a particle causes a displacement vec(S)=(2hat(i)-3hat(j)+4hat(k)) in its own direction. If the work done is 8J, then the value of c is

If the work done by a force bar(F)=hat(i)+mhat(j)+hat(k) in moving the point of application from (1,1,1)" to "(3,3,3) along a straight is 12 units, then m is