Need help with concepts in the problem below! In this problem, we will consider the following situation as depicted in the diagram (Figure 1) : A block of mass m slides at a speed v along a horizontal, smooth table. It next slides down a smooth ramp, descending a height h, and then slides along a horizontal rough floor, stopping eventually. Assume that the block slides slowly enough so that it does not lose contact with the supporting surfaces (table, ramp, or floor). You will analyze the motion of the block at different moments using the law of conservation of energy. Vr = 0 Part B Suppose the potential energy of the block at the table is given by mgh|3. This implies that the chosen zero level of potential energy is . a distance h/3 above the floor a distance h/3 below the floor a distance 2h/3 above the floor a distance 2h/3 below the floor on the floor Mastering Physics lists the correct answer at "A distance 2h/3 above the floor" But why is that the case? Could someone help explain this?
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
I am confused as to why "A distance 2h/3 above the floor" is the answer. Did it use the law of conservation of energy: 1/2mvi^2+mgh+1/2kxi^2+Wnc=1/2mvf^2+mgh+1/2xf^2?
I was somehow able to answer and come up with an answer: 2h/3 a distance 2h/3 above the floor. However, I am not sure if I did the right thing.
mgh + Wnc = mghf
mgh/3 + mgh = mghf
2mgh/3 =mghf
2h/3 = hf
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