Multiple ChoiceA particle with a mass of 0.1kg moves according to the Potential Energy graph shown. What minimum speed does the particle need at Point A to reach Point B?1214views16rank1comments
Textbook QuestionA system in which only one particle moves has the potential energy shown in FIGURE EX10.31. What is the x-component of the force on the particle at x = 5, 15, and 25 cm? 684views
Textbook QuestionIn FIGURE EX10.28, what is the maximum speed a 200 g particle could have at x = 2.0 m and never reach x = 6.0 m?414views
Textbook QuestionFIGURE EX10.28 shows the potential-energy diagram for a 500 g particle as it moves along the x-axis. Suppose the particle's mechanical energy is 12 J. (a) Where are the particle's turning points? 726views
Textbook QuestionFIGURE EX10.25 is the potential-energy diagram for a 20 g particle that is released from rest at x = 1.0m. (b) What is the particle's maximum speed? At what position does it have this speed? 729views
Textbook QuestionFIGURE EX10.24 is the potential-energy diagram for a 500 g particle that is released from rest at A. What are the particle's speeds at B, C, and D? 575views
Textbook QuestionCALC A clever engineer designs a 'sprong' that obeys the force law Fx=−q(x−xeq)³ , where xeq is the equilibrium position of the end of the sprong and q is the sprong constant. For simplicity, we'll let xeq=0 m .Then Fx=−qx³. b. Find an expression for the potential energy of a stretched or compressed sprong.414views
Textbook QuestionA particle moving along the y-axis is in a system with potential energy U = 4y^3 J, where y is in m. What is the -component of the force on the particle at y = 0 m, 1 m, and 2 m?339views
Textbook QuestionCALC A particle that can move along the x -axis is part of a system with potential energy U(x)= A/x2 − B/x where A and B are positive constants. a. Where are the particle's equilibrium positions?456views
Textbook QuestionA system has potential energy U(x)=(10 J)[1−sin((3.14 rad/m) x)] as a particle moves over the range 0 m≤x≤3 m b. For each, is it a point of stable or unstable equilibrium?770views
Textbook QuestionA system consists of interacting objects A and B, each exerting a constant 3.0 N pull on the other. What is (delta)U for the system if A moves 1.0 m toward B while B moves 2.0 m toward A?444views
Textbook QuestionCALC The potential energy for a particle that can move along the x -axis is U=Ax²+B sin(πx/L) , where A , B , and L are constants. What is the force on the particle at (a) x=0 , (b) x=L/2 , and (c) x=L?274views
Textbook QuestionIn FIGURE EX10.27, what is the maximum speed of a 2.0 g particle that oscillates between x = 2.0mm and x = 8.0 mm501views
Textbook Question(II) Determine the escape velocity from the Sun for an object:(a) at the Sun’s surface ( r = 7.0 x 10⁵ km , M = 2.0 x 10³⁰ kg);177views
Textbook Question(II) Determine the escape velocity from the Sun for an object:(b) at the average distance of the Earth ( 1.50 x 10⁸ km . Compare (give factor for each) to the speed of the Earth in its orbit.179views
Textbook QuestionII) A particle is constrained to move in one dimension along the x axis and is acted upon by a force given by F→(x) = - (k/x³) îwhere k is a constant with units appropriate to the SI system. Find the potential energy function U(x) , if U is arbitrarily defined to be zero at x = 2.0m , so that U (2.0m) = 0.335views
Textbook Question(III) The potential energy of the two atoms in a diatomic (two-atom) molecule can be approximated as (Lennard-Jones potential)U(r) = -(a/r⁶) + (b/r¹²) ,where r is the distance between the two atoms and a and b are positive constants.(a) At what values of r is U(r) a minimum? A maximum?350views
Textbook Question(III) The potential energy of the two atoms in a diatomic (two-atom) molecule can be approximated as (Lennard-Jones potential)U(r) = -(a/r⁶) + (b/r¹²) ,where r is the distance between the two atoms and a and b are positive constants.(e) Let F be the force one atom exerts on the other. For what values of r is F > 0 , F < 0 , F = 0?183views
Textbook QuestionThe two atoms in a diatomic molecule exert an attractive force on each other at large distances and a repulsive force at short distances. The magnitude of the force between two atoms in a diatomic molecule can be approximated by the Lennard-Jones force, or F(r) = F₀ [2(σ/r)¹³ - (σ/r)⁷], where r is the separation between the two atoms, and σ and F₀ are constants. For an oxygen molecule (which is diatomic) F₀ = 9.60 x 10⁻¹¹ N and σ = 3.50 x 100⁻¹¹ m .(a) Integrate the equation for F(r) to determine the potential energy U(r) of the oxygen molecule.251views
Textbook Question(II) The graph of Fig. 8–43 shows the potential energy curve of a particle moving along the 𝓍 axis under the influence of a conservative force. Note that the total energy E > U(𝓍), so that the particle’s speed is never zero. (a) In which interval(s) of 𝓍 is the force on the particle to the right? <IMAGE>246views
Textbook Question(II) The graph of Fig. 8–43 shows the potential energy curve of a particle moving along the 𝓍 axis under the influence of a conservative force. Note that the total energy E > U(𝓍), so that the particle’s speed is never zero. (b) At what value(s) of 𝓍 is the magnitude of the force a minimum? <IMAGE>180views
Textbook Question(II) The graph of Fig. 8–43 shows the potential energy curve of a particle moving along the x axis under the influence of a conservative force. Note that the total energy E > U(x), so that the particle’s speed is never zero. (c) At what value of 𝓍 is the magnitude of the force a maximum?<IMAGE>220views
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