The potential energy for a certain mass moving in one dimension is given by U(x)= (2.0 J/m3)x3 - (15 J/m2)x2 + (36 J/m)x - 23 J.Find the location(s)where the force on the mass is zero.

A) 4.0 m,5.0 m B) 1.0 m C) 2.0 m,3.0 m D) 3.0 m,5.0 m A) 4.0 m,5.0 m B) 1.0 m C) 2.0 m,3.0 m D) 3.0 m,5.0 m

A potential energy function for system 1 is given by U1(x)= Cx2 + Bx3.The potential energy function for system 2 is given by U2(x)= A + Cx2 + Bx3,where A is a positive quantity.How does the force on system 1 relate to the force on system 2 at a given position?

A) The force on the two systems will be in opposite directions. B) The force is identical on the two systems. C) The force on the second system will be with less than the force on the first system. D) There is no relationship between the forces on the two systems. E) The force on the second system will be with greater than the force on the first system. A) The force on the two systems will be in opposite directions. B) The force is identical on the two systems. C) The force on the second system will be with less than the force on the first system. D) There is no relationship between the forces on the two systems. E) The force on the second system will be with greater than the force on the first system.

A potential energy function is given by U(x)= ( 3.00 N/m)x - ( 1.00 N/m3)x3.At what position or positions is the force equal to zero?

A) m and - m B) 0.00 m, m and - m C) 1.00 m and -1.00 m D) 3.00 m and -3.00 m E) The force is not zero at any location. A) m and - m B) 0.00 m, m and - m C) 1.00 m and -1.00 m D) 3.00 m and -3.00 m E) The force is not zero at any location.

Exam 10: Interactions and Potential Energy

A girl throws a stone from a bridge.Consider the following ways she might throw the stone.The speed of the stone as it leaves her hand is the same in each case,and air resistance is negligible. Case A: Thrown straight up. Case B: Thrown straight down. Case C: Thrown out at an angle of 45° above horizontal. Case D: Thrown straight out horizontally. In which case will the speed of the stone be greatest when it hits the water below?

(Multiple Choice)

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Question 21

The potential energy for a certain mass moving in one dimension is given by U(x)= (2.0 J/m³)x³- (15 J/m²)x²+ (36 J/m)x - 23 J.Find the location(s)where the force on the mass is zero.

(Multiple Choice)

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Question 22

A 2.0 g bead slides along a frictionless wire,as shown in the figure.At point A,the bead is moving to the right but with negligible speed. (a)What is the potential energy of the bead at point A? (b)What is the kinetic energy of the bead at point B? (c)What is the speed of the bead at point B? (d)What is the speed of the bead at point C?

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Question 23

A 2.5-kg box,sliding on a rough horizontal surface,has a speed of 1.2 m/s when it makes contact with a spring (see the figure).The block comes to a momentary halt when the compression of the spring is 5.0 cm.The work done by the friction,from the instant the block makes contact with the spring until is comes to a momentary halt,is -0.50 J. (a)What is the spring constant of the spring? (b)What is the coefficient of kinetic friction between the box and the rough surface?

(Short Answer)

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Question 24

An athlete stretches a spring an extra 40.0 cm beyond its initial length.How much energy has he transferred to the spring,if the spring constant is 52.9 N/cm?

(Multiple Choice)

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Question 25

A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown in the figure.The vertical height above ground level at position A is 200 m.Neglect friction. (a)What is the total mechanical energy of the roller coaster at point A? (b)What is the total mechanical energy of the roller coaster at point B? (c)What is the speed of the roller coaster at point B? (d)What is the speed of the roller coaster at point C?

(Essay)

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Question 26

A box of mass m is pressed against (but is not attached to)an ideal spring of force constant k and negligible mass,compressing the spring a distance x.After it is released,the box slides up a frictionless incline as shown in the figure and eventually stops.If we repeat this experiment but instead use a spring having force constant 2k

(Multiple Choice)

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Question 27

A 5.00-kg object moves clockwise around a 50.0 cm radius circular path.At one location,the speed of the object is 4.00 m/s.When the object next returns to this same location,the speed is 3.00 m/s. (a)How much work was done by nonconservative (dissipative)forces as the object moved once around the circle? (b)If the magnitude of the above nonconservative (dissipative)forces acting on the object is constant,what is the value of this magnitude?

(Short Answer)

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Question 28

A potential energy function for system 1 is given by U₁(x)= Cx² + Bx³.The potential energy function for system 2 is given by U₂(x)= A + Cx² + Bx³,where A is a positive quantity.How does the force on system 1 relate to the force on system 2 at a given position?

(Multiple Choice)

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Question 29

A 2.0-kg object is moving without friction along the x-axis.The potential energy curve as a function of position is shown in the figure,and the system is conservative.If the speed of the object at the origin is 4.0 m/s,what will be its speed at 7.0 m along the +x-axis?

(Multiple Choice)

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Question 30

A potential energy function is given by U(x)= ( 3.00 N/m)x - ( 1.00 N/m³)x³.At what position or positions is the force equal to zero?

(Multiple Choice)

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Question 31

An object of mass 4.0 kg starts at rest from the top of a rough inclined plane of height 10 m as shown in the figure.If the speed of the object at the bottom of the inclined plane is 10 m/s,how much work does friction do on this object as it slides down the incline?

(Short Answer)

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Question 32

A small hockey puck slides without friction over the icy hill shown in the figure and lands 6.20 m from the foot of the cliff with no air resistance.What was its speed v₀ at the bottom of the hill?

(Multiple Choice)

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Question 33

An object is attached to a hanging unstretched ideal and massless spring and slowly lowered to its equilibrium position,a distance of 6.4 cm below the starting point.If instead of having been lowered slowly the object was dropped from rest,how far then would it then stretch the spring at maximum elongation?

(Multiple Choice)

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Question 34

In the figure,a 5.00-kg block is moving at 5.00 m/s along a horizontal frictionless surface toward an ideal massless spring that is attached to a wall.After the block collides with the spring,the spring is compressed a maximum distance of 0.68 m.What is the speed of the block when it has moved so that the spring is compressed to only one-half of the maximum distance?

(Short Answer)

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Question 35

A force on an object is given by F(x)= (2.00 N/m)x - (3.00 N/m³)x³.What is a potential energy function U(x)for this conservative force?

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Question 36

A box of mass m is pressed against (but is not attached to)an ideal spring of force constant k and negligible mass,compressing the spring a distance x.After it is released,the box slides up a frictionless incline as shown in the figure and eventually stops.If we repeat this experiment with a box of mass 2m

(Multiple Choice)

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Question 37

Two stones,one of mass m and the other of mass 2m,are thrown directly upward with the same velocity at the same time from ground level and feel no air resistance.Which statement about these stones is true?

(Multiple Choice)

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Question 38

Block 1 and block 2 have the same mass,m,and are released from the top of two inclined planes of the same height making 30° and 60° angles with the horizontal direction,respectively.If the coefficient of friction is the same in both cases,which of the blocks is going faster when it reaches the bottom of its respective incline?

(Multiple Choice)

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Question 39

A block slides down a frictionless inclined ramp.If the ramp angle is 17.0° and its length is find the speed of the block as it reaches the bottom of the ramp,assuming it started sliding from rest at the top.

(Multiple Choice)

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Question 40

Showing 21 - 40 of 55

Exam 10: Interactions and Potential Energy

The potential energy for a certain mass moving in one dimension is given by U(x)= (2.0 J/m3)x3 - (15 J/m2)x2 + (36 J/m)x - 23 J.Find the location(s)where the force on the mass is zero.

An athlete stretches a spring an extra 40.0 cm beyond its initial length.How much energy has he transferred to the spring,if the spring constant is 52.9 N/cm?

A potential energy function for system 1 is given by U1(x)= Cx2 + Bx3.The potential energy function for system 2 is given by U2(x)= A + Cx2 + Bx3,where A is a positive quantity.How does the force on system 1 relate to the force on system 2 at a given position?

A 2.0-kg object is moving without friction along the x-axis.The potential energy curve as a function of position is shown in the figure,and the system is conservative.If the speed of the object at the origin is 4.0 m/s,what will be its speed at 7.0 m along the +x-axis?

A potential energy function is given by U(x)= ( 3.00 N/m)x - ( 1.00 N/m3)x3.At what position or positions is the force equal to zero?

An object of mass 4.0 kg starts at rest from the top of a rough inclined plane of height 10 m as shown in the figure.If the speed of the object at the bottom of the inclined plane is 10 m/s,how much work does friction do on this object as it slides down the incline?

A small hockey puck slides without friction over the icy hill shown in the figure and lands 6.20 m from the foot of the cliff with no air resistance.What was its speed v0 at the bottom of the hill?

A force on an object is given by F(x)= (2.00 N/m)x - (3.00 N/m3)x3.What is a potential energy function U(x)for this conservative force?

Two stones,one of mass m and the other of mass 2m,are thrown directly upward with the same velocity at the same time from ground level and feel no air resistance.Which statement about these stones is true?

A block slides down a frictionless inclined ramp.If the ramp angle is 17.0° and its length is find the speed of the block as it reaches the bottom of the ramp,assuming it started sliding from rest at the top.

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The potential energy for a certain mass moving in one dimension is given by U(x)= (2.0 J/m³)x³- (15 J/m²)x²+ (36 J/m)x - 23 J.Find the location(s)where the force on the mass is zero.

A potential energy function for system 1 is given by U₁(x)= Cx² + Bx³.The potential energy function for system 2 is given by U₂(x)= A + Cx² + Bx³,where A is a positive quantity.How does the force on system 1 relate to the force on system 2 at a given position?

A potential energy function is given by U(x)= ( 3.00 N/m)x - ( 1.00 N/m³)x³.At what position or positions is the force equal to zero?

A small hockey puck slides without friction over the icy hill shown in the figure and lands 6.20 m from the foot of the cliff with no air resistance.What was its speed v₀ at the bottom of the hill?

A force on an object is given by F(x)= (2.00 N/m)x - (3.00 N/m³)x³.What is a potential energy function U(x)for this conservative force?