a force with k-positive constant acts on particle moving in xy plane. Starting frm origin the particle is taken along the positive x axis to the point(a,0) and then parallel yo y axis to the point(a,a).Displacement is -4i+2j-3k then total work done by the forces on the particle is???????

Question

Aman Bansal · Answer

Dear Student,

In this problem, you will use your prior knowledge to derive one ofthe most important relationships in mechanics: the work-energytheorem. We will start with a special case: a particle of mass

moving in the x direction at constant acceleration

.During a certain interval of time, the particle accelerates from v_initial

to

, undergoing displacement

given by $s=x_{\rm final}-x_{\rm initial}$ .

part A.

Find the acceleration

of the particle.

Express the acceleration in terms of v_initial

,

, and

.

part B

Find the net force

acting on the particle.

Express your answer in terms of

and

.

part c

Find the net work

done on the particle by the external forces during the particle''smotion.

Express your answer in terms of

and

.

part D

Substitute for

from Part B in the expression for work from Part C. Then substitutefor

from the relation in Part A. This will yield an expression for thenet work

done on the particle by the external forces during the particle''smotion in terms of mass and the initial and final velocities. Givean expression for the work

in terms of those quantities.

Express your answer in terms of

,

, and

.

part E

Find the net work

done on the particle by the external forces during the motion ofthe particle in terms of the initial and final kineticenergies.

Express your answer in terms of K_initial

and

.

part F

Evaluate the integral $W=\int_{v_{\rm initial}}^{v_{\rm final}}m v\,dv$ .

Express your answer in terms of

,

, and

.

part G

A particle moving in the x directionis being acted upon by a net force $F(x)=Cx^2$ , for some constant

.The particle moves from $x_{\rm initial}=L$ to $x_{\rm final}=3L$ . What is DeltaK

, the change in kinetic energy of the particle during thattime?

Express your answer in terms of

and

.

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a force with k-positive constant acts on particle moving in xy plane. Starting frm origin the particle is taken along the positive x axis to the point(a,0) and then parallel yo y axis to the point(a,a).Displacement is -4i+2j-3k then total work done by the forces on the particle is???????

a force with k-positive constant acts on particle moving in xy plane. Starting frm origin the particle is taken along the positive x axis to the point(a,0) and then parallel yo y axis to the point(a,a).Displacement is -4i+2j-3k then total work done by the forces on the particle is???????

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a force with k-positive constant acts on particle moving in xy plane. Starting frm origin the particle is taken along the positive x axis to the point(a,0) and then parallel yo y axis to the point(a,a).Displacement is -4i+2j-3k then total work done by the forces on the particle is???????

a force with k-positive constant acts on particle moving in xy plane. Starting frm origin the particle is taken along the positive x axis to the point(a,0) and then parallel yo y axis to the point(a,a).Displacement is -4i+2j-3k then total work done by the forces on the particle is???????

1 Answers

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Other Related Questions on Mechanics

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Answer and earn gift vouchers

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