Q1/Given the two-dimensional potential energy function 1 V(r) = v0 – k8³er. 2 where r = ix + jy and V0, k, and & are constants, a- find the force function. b- For V0=1, k=6, and 8 = 1/3, find the magnitude of the force at the point (x=1, y=2).
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- a particle is moving under the potential V(x)=cx³-dx². Here c and d are constants. The particle is at rest initially and is at stable point. Calculate the minimum speed of the particle when it reached to unstable point.I want the correct answer with explanation"On a plot of Force versus position (F vs. x), what represents the work done by the force F?" 1. the slope of the curve 2. the length of the curve 3. the area under the curve 4. the product of the maximum force times the maximum x
- Due date: wed, Oci T6 2019 **34. Initially, a 10-kg block is sliding along a level floor at a speed of 5 m/s. The coefficient of kinetic friction between the block and the floor is exactly 0.5. a) What are the initial kinetic, potential, and total energies of the block? b) What is the force of friction by the floor on the block? c) What is the work done by the frictional force as the block slides 2 m across the floor (i.e., how much energy is removed from the system)? d) What are the final kinetic, potential, and total energies of the block? e) What is the block's speed after sliding 2 m?Q. A bead of mass m, which is attached to a vertical metal ring of radius R, reaches point D by passing through points B and C when released from point A. What is the speed of the bead at point D? A. 2gR B. gR 2g С. V R D. 0 Е. MgActivity No. 6 WORK AND POWER I. Theory: The concepts of work provide a convenient means of analyzing an object or system of objects moving between an initial and final state. Basically, work is defined as the product of force and distance. To express that mathematically these are w = F x d or w = m x g x h When work is done upon an object by an external force, the total mechanical energy (KE + PE) of that object is changed. If the work is "positive work", then the object will gain energy. If the work is "negative work", then the object will lose energy. The gain or loss in energy can be in the form of potential energy, kinetic energy, or both. Under such circumstances, the work which is done will be equal to the change in mechanical energy of the object. In this experiment, we will utilize the concept of work by applying it to a student performing this experiment. A diagram below illustrates how the work is being utilized. dup Figure 12.1 Diagram of ladder