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QUESTION 4 (2+3+2-7 marks) (o What is the maximum speed of 2.0g particie that oscillates between...
QUESTION6 (2+3+2+3 10 Marks) A particle can only move along the x-axis. There is only one...
QUESTION6 (2+3+2+3 10 Marks) A particle can only move along the x-axis. There is only one force acting on the particle along the x- axis and the force is conservative where the corresponding potential energy is given by U(x) = ar ifx = 0 or x > 0 where a= 2.0 J/m. The total mechanical energy of the particle is 20 J (a) Are there any equilibrium points? Explain your answer briefly (b) Determine the turning points or point for...
QUESTION 33 In simple harmonic motion, the speed is zero at that point in the cycle...
QUESTION 33 In simple harmonic motion, the speed is zero at that point in the cycle when the acceleration is zero. the potential energy is zero. the force is zero. o the displacement is a maximum. the kinetic energy is a maximum. QUESTION 34 An air glider of mass m = 0.500 kg is on a level air track and connected to a massless ideal spring having a force constant k = 18.0 N/m. The glider and spring are set...
Question 9 [3+ (6 + 2) = 11 marks] (a) A sand pendulum consists of a...
Question 9 [3+ (6 + 2) = 11 marks] (a) A sand pendulum consists of a funnel shaped object filled with sand and suspended from a long string (not shown) as depicted in the diagram. As the pendulum swings back and forth in simple harmonic motion the sand gradually falls from the base of the funnel through a small hole in the bottom. Predict what will happen to the period of oscillation of the pendulum as mass is gradually lost....
ReviewI Constants TACTICS BOx 14.1 Identifying and analyzing simple harmonic motion Learning Goal: 1. If the...
ReviewI Constants TACTICS BOx 14.1 Identifying and analyzing simple harmonic motion Learning Goal: 1. If the net force acting on a particle is a linear restoring force, the motion will be simple harmonic motion around the equilibriunm To practice Tactics Box 14.1 Identifying and analyzing simple harmonic motion. position. 2. The position, velocity, and acceleration as a function of time are given in Synthesis 14.1 (Page 447) x(t)- Acos(2ft) Ug (t) = -(2rf)A sin( 2rft), A complete description of simple...
Question 7 The figure shows a plot of potential energy U versus position x of a...
Question 7 The figure shows a plot of potential energy U versus position x of a 0.220 kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values: UA = 9.00 J, Uc = 20.0 J and UD-24.0 J. The particle is released at the point where U forms a "potential hiir of "height" UB-12.0J, with kinetic energy 5.00 J. What is the speed of the particle at (a)x...
(10%) Problem 13: A particle of mass 0.15 kg moves along the x-axis with a potential...
(10%) Problem 13: A particle of mass 0.15 kg moves along the x-axis with a potential energy whose dependence on x is shown in the figure. U(X)(J) 4 12.07 .. 4.07 4.0 8.0 12.0 16.0 20.0 x(m) -4.07 -8.07 -12.07 25% Part (a) What is the force in the x-direction, in newtons, on this particle at x = 8.0 m? Grade Summary Deductions 0% Potential 100% π HOME sino cos tan cotan asin() acos atan acotan) sinh cosh) tanho cotanh()...
Q.3) (7 Marks An object of mass m is being acted upon by a force F(x)...
Q.3) (7 Marks An object of mass m is being acted upon by a force F(x) = Fosin (cx), where F. = 2 N and c = 0.5 rad/m are constants (a) Prove that this force is conservative. (b) Find the potential energy function V(x) (c) Make a graph of the potential energy V(x) as a functions of x in the interval [x = -a m,x = + m) d) Us previous graph to discuss the motion of the particle...
Please answer these problems 4. A particle of mass o.500 kg is shot from Pas shown...
Please answer these problems
4. A particle of mass o.500 kg is shot from Pas shown in Figure P7.6. The particle has an initial velocity with a horizontal component of 30.0 m/s. The particle rises to a maximum height of 20.0 m above P. Using the law of conservation of energy, determine (a) he vertical component of vi, he work done by the gravitational force on the particle during its motion from P to B, and (c) the horizontal and...
Learning Goal: To be able to interpret potential energy diagrams and predict the corresponding motion of...
Learning Goal: To be able to interpret potential energy diagrams
and predict the corresponding motion of a particle. Potential
energy diagrams for a particle are useful in predicting the motion
of that particle. These diagrams allow one to determine the
direction of the force acting on the particle at any point, the
points of stable and unstable equilibrium, the particle's kinetic
energy, etc. Consider the potential energy diagram shown. (Figure
1) The curve represents the value of potential energy U...
3 pts each la) A solid disk and a hoop have the same mass and radius....
3 pts each la) A solid disk and a hoop have the same mass and radius. If they have the same angular momentum, the angular speed of the disk is than the angular speed of the hoop. a) four times larger b) two times larger c) two times smaller d) four times smaller 1b) An object undergoing simple harmonic motion has a maximum potential energy of 12 J when it reaches its maximum displacement x = A. What the object's...
QUESTION6 (2+3+2+3 10 Marks) A particle can only move along the x-axis. There is only one force acting on the particle along the x- axis and the force is conservative where the corresponding potential energy is given by U(x) = ar ifx = 0 or x > 0 where a= 2.0 J/m. The total mechanical energy of the particle is 20 J (a) Are there any equilibrium points? Explain your answer briefly (b) Determine the turning points or point for...
QUESTION 33 In simple harmonic motion, the speed is zero at that point in the cycle when the acceleration is zero. the potential energy is zero. the force is zero. o the displacement is a maximum. the kinetic energy is a maximum. QUESTION 34 An air glider of mass m = 0.500 kg is on a level air track and connected to a massless ideal spring having a force constant k = 18.0 N/m. The glider and spring are set...
Question 9 [3+ (6 + 2) = 11 marks] (a) A sand pendulum consists of a funnel shaped object filled with sand and suspended from a long string (not shown) as depicted in the diagram. As the pendulum swings back and forth in simple harmonic motion the sand gradually falls from the base of the funnel through a small hole in the bottom. Predict what will happen to the period of oscillation of the pendulum as mass is gradually lost....
ReviewI Constants TACTICS BOx 14.1 Identifying and analyzing simple harmonic motion Learning Goal: 1. If the net force acting on a particle is a linear restoring force, the motion will be simple harmonic motion around the equilibriunm To practice Tactics Box 14.1 Identifying and analyzing simple harmonic motion. position. 2. The position, velocity, and acceleration as a function of time are given in Synthesis 14.1 (Page 447) x(t)- Acos(2ft) Ug (t) = -(2rf)A sin( 2rft), A complete description of simple...
Question 7 The figure shows a plot of potential energy U versus position x of a 0.220 kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values: UA = 9.00 J, Uc = 20.0 J and UD-24.0 J. The particle is released at the point where U forms a "potential hiir of "height" UB-12.0J, with kinetic energy 5.00 J. What is the speed of the particle at (a)x...
(10%) Problem 13: A particle of mass 0.15 kg moves along the x-axis with a potential energy whose dependence on x is shown in the figure. U(X)(J) 4 12.07 .. 4.07 4.0 8.0 12.0 16.0 20.0 x(m) -4.07 -8.07 -12.07 25% Part (a) What is the force in the x-direction, in newtons, on this particle at x = 8.0 m? Grade Summary Deductions 0% Potential 100% π HOME sino cos tan cotan asin() acos atan acotan) sinh cosh) tanho cotanh()...
Q.3) (7 Marks An object of mass m is being acted upon by a force F(x) = Fosin (cx), where F. = 2 N and c = 0.5 rad/m are constants (a) Prove that this force is conservative. (b) Find the potential energy function V(x) (c) Make a graph of the potential energy V(x) as a functions of x in the interval [x = -a m,x = + m) d) Us previous graph to discuss the motion of the particle...
Please answer these problems
4. A particle of mass o.500 kg is shot from Pas shown in Figure P7.6. The particle has an initial velocity with a horizontal component of 30.0 m/s. The particle rises to a maximum height of 20.0 m above P. Using the law of conservation of energy, determine (a) he vertical component of vi, he work done by the gravitational force on the particle during its motion from P to B, and (c) the horizontal and...
Learning Goal: To be able to interpret potential energy diagrams
and predict the corresponding motion of a particle. Potential
energy diagrams for a particle are useful in predicting the motion
of that particle. These diagrams allow one to determine the
direction of the force acting on the particle at any point, the
points of stable and unstable equilibrium, the particle's kinetic
energy, etc. Consider the potential energy diagram shown. (Figure
1) The curve represents the value of potential energy U...
3 pts each la) A solid disk and a hoop have the same mass and radius. If they have the same angular momentum, the angular speed of the disk is than the angular speed of the hoop. a) four times larger b) two times larger c) two times smaller d) four times smaller 1b) An object undergoing simple harmonic motion has a maximum potential energy of 12 J when it reaches its maximum displacement x = A. What the object's...
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