Question

a force f=4i+j+3k Newton acts on a particle and displaces it through displacement s=11i+11j+15k metres calculate the work done by the force​

Answer 1

Answer:

hope it helps you mrk as brainliest

Answer 2

Given: Force = 4i + j + 3k

           Displacement = 11i + 11j + 15k

To find: Work done by the force

Solution:

• When a force acting on a body displaces the body then the work is said to be done.
• Work done is a scalar quantity, and its magnitude is equal to the scalar product of the force applied to a body and displacement it causes.
• Scalar product or dot product of two vectors is mathematical multiplication that takes two equal-length sequences of numbers and returns a single number as a result.
• Its SI unit is Joule.

According to the question, Work = Force × displacement

                                                         = (4i + j + 3k).(11i + 11j + 15k)

                                                         = 4(11) + 1(11) + 3(15)

                                                         = 44 + 11 + 45

                                                         = 100 Joule

Therefore, a work of 100 Joule is done by the force.