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Explain why a force is conservative IF AND ONLY IF the work done by the force on

ID: 1367089 • Letter: E

Question

Explain why a force is conservative IF AND ONLY IF the work done by the force on any object that moves around a closed path must be zero. Clearly show how each statement implies the other. The law of cosines tells us that if the sides of a triangle obey the Pythagorean formula that they must form a right triangle. Use this fact to explain why the final velocities of two equal mass bodies that undergo a perfectly elastic two dimensional collision must be orthogonal. Briefly list the four steps of the Free Body Diagram method to solving dynamics problems. Under what conditions is/are the quantity/quantaties conserved? What are the kinematic equations for projectile (ballistic) motion in In the reductionist view of science everything can ultimately find an explanation in the principles of physics. The synthetic view however reflects the fact that knowing the basic principles of physics will not necessarily lead to the insights of the more specific science disciplines such as chemistry or biology. Why? We have solved dynamics problems using the physical quantities of forces (via Free Body Diagrams), energy and momentum. Which approach did we used if There was a collision or contact between bodies: The forces changed during the problem: The forces remained constant during the problem: What condition is required to use the kinematic equations? What defines a Free Body in the FBD method? What makes an explanation / idea / statement scientific? What kind(s) of force(s) supplies/supply the centripetal acceleration in the circular motion involving:

Explanation / Answer

In Conservative forces work done do not depend on path, It depends only on displacement

so if initial and final position are same then displacement is zero and hence work done would be zero

So we call that work done around a closed loop in conservative forces is zero

(3)

First we draw the forces on each object

then we write the net force equation for each object using Newton's second law

then we solve equations for acceleration

and solve for other variables

(4) Mechanical energy and momentum remain conserve in elastic collision

and momentum remain conserve in inelastic collsion

(5) Projectile motion

Along x direction

acceleration is zero ax =0

X = Xo + Vox*t + 1/2 axt2

Along y direction

Y = Yo + Voy*t + 1/2ayt2

And acceleration is due to gravity ay = g = - 9.8 m/s2

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