(a) At a certain instant, a particle - like object is acted on by a force (a) At

Question

(a) At a certain instant, a particle - like object is acted on by a force (a) At a certain instant, a particle - like obj. What is the instantaneous rate at which the force does work on the object? (b) At some other time, the velocity consists of only a y component. If the force is unchanged, and the instantaneous power is - 9.2 W, what is the velocity of the object just then? (Give your answer without a unit vector.) (a) At a certain instant, a particle - like obj while the object's velocity is

Explanation / Answer

a)

Here,

F = 2.2 i - 2.6 j -7.1 k

v = -1.9i -3.5 k

rate of work done = F.V

Rate of Work Done =   (2.2 i - 2.6 j -7.1 k ).(-1.9i -3.5 k)

Rate of Work Done = 2.2*(-1.9) + 7.1 * 3.5

Rate of Work Done = 20.67 W

the instantaneous rate at which the force does work on the object is 20.67 W

B)

Here , For V = Vy j

-9.2   = (2.2 i - 2.6 j -7.1 k )*(Vy j )

-9.2 = -2.6 * Vy

Vy = 3.54 m/s

the velocity of the object just is 3.54 m/s

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