Question

A force (5ỉ - ;)N moves an object from the point P (1,3) m to the point Q (3, 8) m.

The work (in )) done by the force is
Select one:
a. -10
O b.5
o c.-13
d. 8​

Answer 1

b) 5 J

Step-by-step explanation:

Work is the energy transferred by an object when acted by a force along a displacement. Work is the product of force and displacement. The SI unit of work is the joules (J)

To calculate the work done by the force, we have to first get the displacement (D) of the object. Hence:

Displacement (D) = Q(3, 8) - P(1, 3) = (3 - 1, 8 - 3) = (2, 5) = 2i + 5j

The work done is the dot product of the force and the displacement. Force = 5i - j. Hence:

Work done = (5i - j)(2i + 5j) = 10 - 5 = 5 J