Enter a one- or two-word answer that correctly completes the following statement

Question

Enter a one- or two-word answer that correctly completes the following statement.

If the constant force is applied for a fixed interval of time (t), then the _____ of the particle will increase by an amount (at)


If the constant force is applied over a given distance D, along the path of the particle, then the _____ of the particle will increase by FD .
.

If the initial kinetic energy of the particle is Ki , and its final kinetic energy is Kf, express Kf in terms of Ki and the work W done on the particle.Find KF


Now, consider whether the following statements are true or false:

•The dot product assures that the integrand is always nonnegative.

•The dot product indicates that only the component of the force perpendicular to the path contributes to the integral.
•The dot product indicates that only the component of the force parallel to the path contributes to the integral.






Assume that the particle has initial speed V initial . Find its final kinetic energy K final in terms of V initial , M, F, D and .FIND Kf




What is the final speed of the particle?
Express your answer in terms of K final and M. find Wf

Explanation / Answer

If the constant force is applied for a fixed interval of time (t), then the VELOCITY_____ of the particle will increase by an amount (at)

If the constant force is applied over a given distance D, along the path of the particle, then the _KINETIC ENERGY____ of the particle will increase by FD

If the initial kinetic energy of the particle is Ki , and its final kinetic energy is Kf, express Kf in terms of Ki and the work W done on the particle
Kf-Ki= FD
Kf=FD+Ki

•The dot product assures that the integrand is always nonnegative. FALSE


•The dot product indicates that only the component of the force perpendicular to the path contributes to the integral. FALSE

•The dot product indicates that only the component of the force parallel to the path contributes to the integral. TRUE

Kf-Ki= Kf- 1/2MV2 = FD

Kf= 1/2MV2 + FD

the final speed of the particle Kf= 1/2MVf2

Vf=2Kf/M

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