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.

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

Exam 7: Potential Energy and Energy Conservation

Explore all topics

A block slides down a frictionless inclined ramp. If the ramp angle is 17.0° and its length is 30.0 m, 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)

4.8/5

(83)

Question 41

Which, if any, of the following statements concerning the work done by a conservative force is NOT true?

(Multiple Choice)

4.9/5

(95)

Question 42

A car on a roller coaster starts at zero speed at an elevation above the ground of 26 m. It coasts down a slope, and then climbs a hill. The top of the hill is at an elevation of 16 m. What is the speed of the car at the top of the hill? Neglect any frictional effects.

(Multiple Choice)

4.9/5

(74)

Question 43

A 60.0-kg person drops from rest a distance of 1.20 m to a platform of negligible mass supported by an ideal stiff spring of negligible mass. The platform drops 6.00 cm before the person comes to rest. What is the spring constant of the spring?

(Multiple Choice)

4.8/5

(77)

Question 44

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?

(Short Answer)

4.9/5

(77)

Question 45

A ball drops some distance and loses 30 J of gravitational potential energy. Do NOT ignore air resistance. How much kinetic energy did the ball gain?

(Multiple Choice)

4.8/5

(84)

Question 46

Is it possible for a system to have negative potential energy?

(Multiple Choice)

4.8/5

(81)

Question 47

When an object is solely under the influence of conservative forces, the sum of its kinetic and potential energies does not change.

(True/False)

4.8/5

(77)

Question 48

It requires 6.0 J of work is needed to push a 2.0-kg object from point A to point B of the frictionless ramp as shown in the figure. What is the length s of the ramp from A to B?

(Short Answer)

4.9/5

(75)

Question 49

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?

(Short Answer)

4.9/5

(86)

Question 50

Two identical balls are thrown directly upward, ball A at speed v and ball B at speed 2v, and they feel no air resistance. Which statement about these balls is correct?

(Multiple Choice)

4.8/5

(80)

Question 51

An 8.0-kg block is released from rest, with v1 = 0.00 m/s, on a rough incline, as shown in the figure. The block moves a distance of 1.6-m down the incline, in a time interval of 0.80 s, and acquires a velocity of v2 = 4.0 m/s. How much work does gravity do on the block during this process?

(Multiple Choice)

4.8/5

(69)

Question 52

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)

4.8/5

(76)

Question 53

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)

4.8/5

(80)

Question 54

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)

4.9/5

(77)

Question 55

Showing 41 - 55 of 55

Exam 7: Potential Energy and Energy Conservation

A block slides down a frictionless inclined ramp. If the ramp angle is 17.0° and its length is 30.0 m, find the speed of the block as it reaches the bottom of the ramp, assuming it started sliding from rest at the top.

Which, if any, of the following statements concerning the work done by a conservative force is NOT true?

A car on a roller coaster starts at zero speed at an elevation above the ground of 26 m. It coasts down a slope, and then climbs a hill. The top of the hill is at an elevation of 16 m. What is the speed of the car at the top of the hill? Neglect any frictional effects.

A 60.0-kg person drops from rest a distance of 1.20 m to a platform of negligible mass supported by an ideal stiff spring of negligible mass. The platform drops 6.00 cm before the person comes to rest. What is the spring constant of the spring?

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?

A ball drops some distance and loses 30 J of gravitational potential energy. Do NOT ignore air resistance. How much kinetic energy did the ball gain?

Is it possible for a system to have negative potential energy?

When an object is solely under the influence of conservative forces, the sum of its kinetic and potential energies does not change.

It requires 6.0 J of work is needed to push a 2.0-kg object from point A to point B of the frictionless ramp as shown in the figure. What is the length s of the ramp from A to B?

Two identical balls are thrown directly upward, ball A at speed v and ball B at speed 2v, and they feel no air resistance. Which statement about these balls is correct?

An 8.0-kg block is released from rest, with v1 = 0.00 m/s, on a rough incline, as shown in the figure. The block moves a distance of 1.6-m down the incline, in a time interval of 0.80 s, and acquires a velocity of v2 = 4.0 m/s. How much work does gravity do on the block during this process?

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?

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.

Units, Physical Quantities, and Vectors

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Momentum, Impulse, and Collisions

Rotation of Rigid Bodies

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

The Nature and Propagation of Light

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

Filters

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?

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?

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.