Question

The work done by a force F = [2i.3j.4k] acting on a body if the body is displaced from the point A (3,5,0) to a point B (5i.7j.0k) along the straight line AB is

• A. 4
• B. 10
• C. 6
• D. 12

Answer 1

Answer:

B. 10

The area under a force-displacement graph represents the work done on an object.

• force, F = [2.i3.j4k]

• displacement of body from A (3.5.0) to B (5.7.0)

  = B(5.7.0) - A(3.5.0)

  = (5-3.7-5.0-0)

  = (2.i2.j0k)

Work done = Force x Displacement = [2i,3j.4k] x (2i.2j.0k)

= (2x2 + 3x2 + 4x0)

= (4 + 6 + 0)

= 10J