Question

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A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by F=−∧i+2∧j+3∧kN. Where ∧i,∧j,∧k are unit vectors along the x, y and z axis of the system respectively. What is the work done by this force in moving the body a distance of 4 m along the z axis?​

Answer 1

Answer:

A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by

F=−

∧

i

+2

∧

j

+3

∧

k

N

. Where

∧

i

,

∧

j

,

∧

k

are unit vectors along the x, y and z axis of the system respectively. What is the work done by this force in moving the body a distance of 4 m along the z axis?

Ans: Force exerted on the body is F=−∧i+2∧j+3∧kN.

Displacement, s =4∧k m

Work done, W =F.s

=(−∧i+2∧j+3∧k).(4∧k)

=12 J

Thus, 12 J of work is done by the force on the body

Explanation:

Hope it helps.

Answer 2

Explanation:

578 is the correct answer