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Q.3) (7 Marks An object of mass m is being acted upon by a force F(x)...
A 20 kg object is acted on by a conservative force given by F = −3.0x...
A 20 kg object is acted on by a conservative force given by F = −3.0x − 5.0x2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. (a) What is the potential energy of the system associated with the force when the object is at x = 5.0 m? (b) If the object has a velocity of 2.0 m/s in the negative...
A 21 kg object is acted on by a conservative force given by F = -1.0x...
A 21 kg object is acted on by a conservative force given by F = -1.0x - 6.0x^2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. (a) What is the potential energy of the system associated with the force when the object is at x = 1.7 m? (b) If the object has a velocity of 4.0 m/s in the negative...
Potential Energy and Force A mass m=3.00kg moving along the x-axis is acted on only by...
Potential Energy and Force A mass m=3.00kg moving along the x-axis is acted on only by a single conservative force. The force has a potential energy function given by U(x)=(1.00J/m3)x3−(9.00J/m2)x2+(15.0J/m)x. It will be useful to graph this function on your calculator or computer. Part A Find the force on the mass as a function of x. (Leave the units out of the coefficients in your expression, and make sure all coefficients have three significant figures). F(x) = N SubmitMy AnswersGive...
Q2)) A particle of mass m is under the action of a force given by :...
Q2)) A particle of mass m is under the action of a force given by : F = F + Cx; where F, and C are positive constants. If the particle starts motion from rest at x = 0; a) Is this force is conservative or not? and why? b) Find the change in its kinetic energy. c) Find the velocity of the particle as a function of distant x.
An object of mass m is connected to a light spring with a force constant of...
An object of mass m is connected to a light spring with a force constant of kH N/meter which oscillates on a frictionless horizontal surface with Simple Harmonic Motion. At t = 0 the spring was at rest but is compressed x = A meter maximum during oscillation. Write the equation of motion from Newton's 2nd law FH = m·a and Hook's Law FH = -kH·x. Because of the starting position assume a solution is x = A sin(ωt) a...
8. Bonus: Consider the gravitational force of attraction F (r) on a mass m located at...
8. Bonus: Consider the gravitational force of attraction F (r) on a mass m located at a point r R3 which is exerted by a mass M at the origin r 0, GMm r. (a) From your results in 7(b), find the scalar-valued function V(r) such that F(r)VV(r) with the condition V(r) -0 as lrl->oo. The function V(r) is the potential energy function associated with the gravitational force F(r). The existence of a scalar-valued potential energy function V R-Rimplies that...
1. Suppose an object is subjected to a force F that varies with position: where β 20N/m is a constant. a) The object begins at the origin (x,y) = (0,0) and travels to point P located at (z,y)-(1m,3m)...
1. Suppose an object is subjected to a force F that varies with position: where β 20N/m is a constant. a) The object begins at the origin (x,y) = (0,0) and travels to point P located at (z,y)-(1m,3m): 3m 4m Calculate the work done by F along each of the three possible paths shown in the figure above by the dashed lines. Note that there could be other forces acting on the object in order to ensure the object travels...
(Newton's 2nd law) Suppose a falling object of mass m is acted on by two forces:...
(Newton's 2nd law) Suppose a falling object of mass m is acted on by two forces: gravity, which acts down with magnitude mg, and a resistive force which acts up with magnitude 2v, where v is the velocity of the object. Does the object approach a terminal velocity? If so, find it.
I do not get part D? An object with mass 0.200 kg is acted on by...
I do not get part D?
An object with mass 0.200 kg is acted on by an elastic restoring force with force constant 10.8 N/m. The object is set into oscillation with an initial potential energy of 0.150 J and an initial kinetic energy of 7.00 times10^-2 J. Significant Figures Feedback: Your answer 0.142 m was either rounded differently or used a different number of significant figures than required for this part. What is the value of the phase angle...
A particle with a charge of q = 13.0 PC travels from the origin to the...
A particle with a charge of q = 13.0 PC travels from the origin to the point (x, y) = (20.0 cm, 50.0 cm) in the presence of a uniform electric field E = 250 V/m. Determine the following. (a) the change in the electric potential energy in )) of the particle-field system If an object is acted on by a conservative force, how is the change in potential energy related to the work done on the object by a...
Q2)) A particle of mass m is under the action of a force given by : F = F + Cx; where F, and C are positive constants. If the particle starts motion from rest at x = 0; a) Is this force is conservative or not? and why? b) Find the change in its kinetic energy. c) Find the velocity of the particle as a function of distant x.
8. Bonus: Consider the gravitational force of attraction F (r) on a mass m located at a point r R3 which is exerted by a mass M at the origin r 0, GMm r. (a) From your results in 7(b), find the scalar-valued function V(r) such that F(r)VV(r) with the condition V(r) -0 as lrl->oo. The function V(r) is the potential energy function associated with the gravitational force F(r). The existence of a scalar-valued potential energy function V R-Rimplies that...
1. Suppose an object is subjected to a force F that varies with position: where β 20N/m is a constant. a) The object begins at the origin (x,y) = (0,0) and travels to point P located at (z,y)-(1m,3m): 3m 4m Calculate the work done by F along each of the three possible paths shown in the figure above by the dashed lines. Note that there could be other forces acting on the object in order to ensure the object travels...
(Newton's 2nd law) Suppose a falling object of mass m is acted on by two forces: gravity, which acts down with magnitude mg, and a resistive force which acts up with magnitude 2v, where v is the velocity of the object. Does the object approach a terminal velocity? If so, find it.
I do not get part D?
An object with mass 0.200 kg is acted on by an elastic restoring force with force constant 10.8 N/m. The object is set into oscillation with an initial potential energy of 0.150 J and an initial kinetic energy of 7.00 times10^-2 J. Significant Figures Feedback: Your answer 0.142 m was either rounded differently or used a different number of significant figures than required for this part. What is the value of the phase angle...
A particle with a charge of q = 13.0 PC travels from the origin to the point (x, y) = (20.0 cm, 50.0 cm) in the presence of a uniform electric field E = 250 V/m. Determine the following. (a) the change in the electric potential energy in )) of the particle-field system If an object is acted on by a conservative force, how is the change in potential energy related to the work done on the object by a...
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