(a) What is the total mechanical energy of the system?(b) What range of positions is the particle restricted to?(c) What is the speed of the particle when x1.00 m? A particle of mass m = 1.50 kg moves along one dimension and is subject to a singleforce, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U ismeasured in Joules and x is measured in meters). At the moment when the particle islocated at position x =1.50 m, its speed is v = 2.50 m/s.%3D

The total mechanical energy of the system is the sum of the potential energy and kinetic energy of…

Answered: A particle of mass m = force, whose…

Similar questions

A 15-gram [g] rubber ball is released from a height of 8 meters [m] above a flat surface on the moon. Gravitational acceleration on the moon is 1.62meters per second squared [m/s2]. Assume that no energy is lost from frictional drag. What is the velocity, in units of meters per second [m/s], of the rubber ball the instant before it strikes the flat surface?
Please help me
Which of the following quantities has the same dimensions as kinetic energy, mv? Note: [a] = [g] = LT²; [h] = L and [v] = LT'. та тух mvt mgh mgt
A proton (mass m=1.67* 10-27 kg) is being acceleratedalong a straight line at 3.6 1015 m/s2 in a machine. If the protonhas an initial speed of 2.4 *107 m/s and travels 3.5 cm, whatthen is (a) its speed and (b) the increase in its kinetic energy?
Two different masses are sitting on a frictionless track with a compressed spring between them which has 4.0 J of potential energy. When released, the spring pushes the masses apart. If one mass is 2.0 kg and the other mass is 5.0 kg, what is the speed of each mass after the spring stops pushing them apart? Assume the mass of the spring is negligible.
A man of mass 80.0 kg walks down the aisle of an airplane at a speed of 1.00 m/s in the forward direction while the plane moves at a speed of 300 m/s relative to the earth. Find the man’s kinetic energy relative to (a) the plane; (b) the earth.
The mass m is attached to a spring of free length b and stiffness k. The coefficient of friction between the mass and the horizontal rod is u. The acceleration of the mass can be shown to be x=-f(x), where k f(x) = ug+(b + x) 1–- m b² +x² If the mass is released from rest at x = b, its speed at x = 0 is given by 1. Compute vo by numerical Simpson's 1/3 and 3/8 integration and compare between them with different step size, using the data m = 0.9 kg. b = 0.6 m, =0.3, k = 100 N/m, and g = 9.81 m/s. 2. Develop a MATLAB code to solve the equation for both methods. 3. Plot the acceleration of the mass versus x, and find the area under the curve by MATLAB built-in function. 4. Can we find an exact solution??Try it. www Figure (1)
The specialty of an athlete on the women's track team is the pole vault. She has a mass of 60 kg and her approach speed is 8.7 m/s. When she is directly above the bar, her speed is 1.3 m/s. Neglecting air resistance and any energy absorbed by the pole, determine the amount(in m) she has raised herself as she crosses the bar. Answer in Meters.
An object of mass m= 7.6 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F =(3N)î +(4N)ĵ . What is the object's speed in m/s after moving 1 meter?
A proton (mass m = 1.67 × 10-27 kg) is being accelerated along a straight line at 6.20 x 10¹1 m/s² in a machine. If the proton has an initial speed of 8.50 x 104 m/s and travels 2.10 cm, what then is (a) its speed and (b) the increase in its kinetic energy? (a) Number (b) Number i Units Units
A particle of mass 4.0 kg moves under the influence of the force F(x) = (-5x + 7x) N. If its speed at x = -2.4 m is v = 24.0 m/s, what is its speed (in m/s) at x = 2.4 m? m/s
A mass of 700 kg moving at a speed of 36 km/h collides with a horizontally mounted spring of spring constant 6.26*10^3 N/m, what is the maximum compression (meters) of the spring?

SEE MORE QUESTIONS