Answer with Details PLZ Using the potential energy vs position plot on the last

Question

Answer with Details PLZ

Using the potential energy vs position plot on the last page of the exam, locate the points of equilibrium. Indicate which points are stable and which are unstable. What is the difference between stable and unstable equilibrium? Why does a fluid in a gravitational field exert a buoyant force on submerged objects? Describe the difference between "pressure" and "force." Can an object have the same magnitude forces on opposite sides and exert different pressures? Provide an example that supports your answer.

Explanation / Answer

1)

as we know -(dU/dx) = force (U = potential energy) thus when dU/dx is zero thats the point of equilibrium so in the plot of U v/s x just see where du/dx is zero(in the plot these point are just like the peak of hills or like a gaddha in road). The point where du/dx is zero and is the point of local minima(that is points left to it and right to it have greater value than its) is stable equilibrium as potential energy is minimum and similarly the point where du/dx is zero and is local maxima(the point left and right to it have lower value than its) where potential energy is maximum is unstable equilibrium.

2)

buoyancy is the force equal to weight of liquid displaced thus it acts when there is gravity or gravitational force.

actually if a object is submerged pressure creates inside and due to this difference in pressure there is a net upward force called buoyancy.

3)

pressure is force per unit area(F/A) thus surely it can have different pressure on different side of object having same force if they have different areas.

example a 3D trapezium and equal force applied on both the bases having different areas.

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