A golfer misjudges a putt and leaves her ball way short, the ball going only one-third of the way to the hole. If the speed of the ball leaving the putter in the first case was v0 and the force of resistance due to the grass remains the same, what speed should she have given to the ball to make the original putt?

A) v0 B) 2 v0 C) v0 D) 3 v0 E) 4 v0 A) v0 B) 2 v0 C) v0 D) 3 v0 E) 4 v0

Two identical vertical springs S1 and S2 have masses m1 = 400 g and m2 = 800 g attached to them. If m1 causes spring S1 to stretch by 4 cm, what is the ratio of the potential energy of S1 and S2? Use g = 10 m/s2.

A) 2:1 B) 1:2 C) 1:3 D) 4:1 E) 1:4 A) 2:1 B) 1:2 C) 1:3 D) 4:1 E) 1:4

Exam 8: Potential Energy and Conservation of Energy

FIGURE 8-10 An object of mass m is at rest on a rough inclined plane with height h, length 8 m, and which makes an angle of 30° with the horizontal. The object is allowed to move and it stops on a rough horizontal surface, at a distance of 4 m from the bottom of the inclined plane, as shown in Figure 8-10. The coefficient of kinetic friction on the inclined plane is 0.4 and g = 10 m/s². -Refer to Figure 8-10. What is the speed of the object at the bottom of the inclined plane?

(Multiple Choice)

4.9/5

(82)

Question 41

FIGURE 8-8 -An object of mass 4 kg starts at rest from the top of a rough inclined plane of height 10 m as shown in Figure 8-8. If the speed of the object at the bottom of the inclined plane is 10 m/s, how much work is done by the force of friction? Use g = 10 m/s².

(Multiple Choice)

4.9/5

(83)

Question 42

FIGURE 8-11 A 2.0 kg mass is moving along the x-axis. The potential energy curve as a function of position is shown in Figure 8-11. The system is conservative. There is no friction. -Refer to Figure 8-11. If the speed of the object at the origin is 4.0 m/s, what will be its speed at 4.0 m along the +x-axis?

(Multiple Choice)

4.8/5

(85)

Question 43

A ball drops some distance and gains 30 J of kinetic energy. Do not ignore air resistance. How much gravitational potential energy did the ball lose?

(Multiple Choice)

4.8/5

(68)

Question 44

If work is done on a system by non-conservative forces, the total mechanical energy of a system stays constant.

(True/False)

4.8/5

(69)

Question 45

FIGURE 8-12 A 2-kg mass is moving along the x axis. The potential energy curve as a function of position is shown in Figure 8-12. The system is conservative. There is no friction. -Refer to Figure 8-12. If the object is at rest at the origin, what will be its speed at 9.0 m along the +x-axis?

(Multiple Choice)

4.8/5

(79)

Question 46

FIGURE 8-6 A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown in Figure 8-6. The vertical height at position A above ground level is 200 m. Neglect friction and use g = 10.0 m/s². -What is the total energy of the roller coaster at point A?

(Multiple Choice)

5.0/5

(73)

Question 47

Two inclined planes A and B have the same height but different angles of inclination with the horizontal. An object is released at rest from the top of each of the inclined planes. How does the speed of the object at the bottom of inclined plane A compare with that of the speed at the bottom of inclined plane B?

(Multiple Choice)

4.9/5

(72)

Question 48

A simple pendulum of length 2.00 m is made with a mass of 2.00 kg. The mass has a speed of 3.00 m/s when the pendulum is 30.0° above its lowest position. (a) What is the maximum angle away from the lowest position the pendulum will reach? (b) What is the speed of the mass when the pendulum is 45° above its lowest position?

(Short Answer)

4.8/5

(71)

Question 49

An object of mass 4 kg is thrown vertically upwards from ground level with an initial speed of 20 m/s. Ignore friction and use g = 10 m/s². What is the kinetic energy of the object just before it hits the ground?

(Multiple Choice)

4.9/5

(80)

Question 50

Potential energy may be positive or negative.

(True/False)

4.9/5

(73)

Question 51

FIGURE 8-5 A 2.0-g bead slides along a wire, as shown in Figure 8-5. At point A, the bead is at rest. Neglect friction and use g = 10 m/s². -Refer to Figure 8-5. What is the speed of the bead at point B?

(Multiple Choice)

5.0/5

(82)

Question 52

Two identical balls are thrown from the top of a building with the same speed. Ball 1 is thrown horizontally, while ball 2 is thrown at an angle θ above the horizontal. Neglecting air resistance, which ball will have the greatest speed when hitting the ground below?

(Multiple Choice)

4.8/5

(82)

Question 53

Non-conservative forces can change the mechanical energy of a system.

(True/False)

4.8/5

(77)

Question 54

An object with a mass of 10 kg is moving along a horizontal surface. At a certain point it has 40 J of kinetic energy. If the coefficient of friction between the object and the surface is 0.40, how far will the object go beyond that point before coming to a stop? Use g = 10 m/s².

(Multiple Choice)

4.9/5

(70)

Question 55

FIGURE 8-3 A mass is attached to one end of a string. The other end of the string is attached to a rigid support. The mass is released at A and swings in a vertical arc to points B, C, and D, as shown in Figure 8-3. Neglect air resistance and use g = 10 m/ . -Refer to Figure 8-3. At what point does the mass have the most potential energy?

(Multiple Choice)

4.7/5

(82)

Question 56

An object of mass m is moving on a horizontal rough surface. At a certain point it has a speed v m/s and it comes to a stop after traveling 32 m. If the coefficient of friction between the object and the surface is 0.40, what is the value of speed v? Use g = 10 m/s².

(Multiple Choice)

4.8/5

(85)

Question 57

A golfer misjudges a putt and leaves her ball way short, the ball going only one-third of the way to the hole. If the speed of the ball leaving the putter in the first case was v₀ and the force of resistance due to the grass remains the same, what speed should she have given to the ball to make the original putt?

(Multiple Choice)

4.8/5

(80)

Question 58

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

(81)

Question 59

Two identical vertical springs S₁ and S₂ have masses m₁ = 400 g and m₂ = 800 g attached to them. If m₁ causes spring S₁ to stretch by 4 cm, what is the ratio of the potential energy of S₁ and S₂? Use g = 10 m/s².

(Multiple Choice)

4.7/5

(76)

Question 60

Showing 41 - 60 of 99

Exam 8: Potential Energy and Conservation of Energy

FIGURE 8-8 -An object of mass 4 kg starts at rest from the top of a rough inclined plane of height 10 m as shown in Figure 8-8. If the speed of the object at the bottom of the inclined plane is 10 m/s, how much work is done by the force of friction? Use g = 10 m/s2.

A ball drops some distance and gains 30 J of kinetic energy. Do not ignore air resistance. How much gravitational potential energy did the ball lose?

If work is done on a system by non-conservative forces, the total mechanical energy of a system stays constant.

FIGURE 8-12 A 2-kg mass is moving along the x axis. The potential energy curve as a function of position is shown in Figure 8-12. The system is conservative. There is no friction. -Refer to Figure 8-12. If the object is at rest at the origin, what will be its speed at 9.0 m along the +x-axis?

FIGURE 8-6 A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown in Figure 8-6. The vertical height at position A above ground level is 200 m. Neglect friction and use g = 10.0 m/s2. -What is the total energy of the roller coaster at point A?

An object of mass 4 kg is thrown vertically upwards from ground level with an initial speed of 20 m/s. Ignore friction and use g = 10 m/s2. What is the kinetic energy of the object just before it hits the ground?

Potential energy may be positive or negative.

FIGURE 8-5 A 2.0-g bead slides along a wire, as shown in Figure 8-5. At point A, the bead is at rest. Neglect friction and use g = 10 m/s2. -Refer to Figure 8-5. What is the speed of the bead at point B?

Two identical balls are thrown from the top of a building with the same speed. Ball 1 is thrown horizontally, while ball 2 is thrown at an angle θ above the horizontal. Neglecting air resistance, which ball will have the greatest speed when hitting the ground below?

Non-conservative forces can change the mechanical energy of a system.

An object with a mass of 10 kg is moving along a horizontal surface. At a certain point it has 40 J of kinetic energy. If the coefficient of friction between the object and the surface is 0.40, how far will the object go beyond that point before coming to a stop? Use g = 10 m/s2.

An object of mass m is moving on a horizontal rough surface. At a certain point it has a speed v m/s and it comes to a stop after traveling 32 m. If the coefficient of friction between the object and the surface is 0.40, what is the value of speed v? Use g = 10 m/s2.

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?

Two identical vertical springs S1 and S2 have masses m1 = 400 g and m2 = 800 g attached to them. If m1 causes spring S1 to stretch by 4 cm, what is the ratio of the potential energy of S1 and S2? Use g = 10 m/s2.

Introduction to Physics

One-Dimensional Kinematics

Vectors in Physics

Two-Dimensional Kinematics

Newtons Laws of Motion

Applications of Newtons Laws

Work and Kinetic Energy

Linear Momentum and Collisions

Rotational Kinematics and Energy

Rotational Dynamics and Static Equilibrium

Gravity

Oscillations About Equilibrium

Waves and Sound

Fluids

Temperature and Heat

Phases and Phase Changes

The Laws of Thermodynamics

Electric Charges, Forces, and Fields

Electric Potential and Electric Potential Energy

Electric Current and Direct-Current Circuits

Magnetism

Magnetic Flux and Faradays Law of Induction

Alternating-Current Circuits

Electromagnetic Waves

Geometrical Optics

Optical Instruments

Physical Optics: Interference and Diffraction

Relativity

Quantum Physics

Atomic Physics

Nuclear Physics and Nuclear Radiation

Filters

FIGURE 8-8 -An object of mass 4 kg starts at rest from the top of a rough inclined plane of height 10 m as shown in Figure 8-8. If the speed of the object at the bottom of the inclined plane is 10 m/s, how much work is done by the force of friction? Use g = 10 m/s².

FIGURE 8-6 A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown in Figure 8-6. The vertical height at position A above ground level is 200 m. Neglect friction and use g = 10.0 m/s². -What is the total energy of the roller coaster at point A?

An object of mass 4 kg is thrown vertically upwards from ground level with an initial speed of 20 m/s. Ignore friction and use g = 10 m/s². What is the kinetic energy of the object just before it hits the ground?

FIGURE 8-5 A 2.0-g bead slides along a wire, as shown in Figure 8-5. At point A, the bead is at rest. Neglect friction and use g = 10 m/s². -Refer to Figure 8-5. What is the speed of the bead at point B?

An object with a mass of 10 kg is moving along a horizontal surface. At a certain point it has 40 J of kinetic energy. If the coefficient of friction between the object and the surface is 0.40, how far will the object go beyond that point before coming to a stop? Use g = 10 m/s².

An object of mass m is moving on a horizontal rough surface. At a certain point it has a speed v m/s and it comes to a stop after traveling 32 m. If the coefficient of friction between the object and the surface is 0.40, what is the value of speed v? Use g = 10 m/s².

Two identical vertical springs S₁ and S₂ have masses m₁ = 400 g and m₂ = 800 g attached to them. If m₁ causes spring S₁ to stretch by 4 cm, what is the ratio of the potential energy of S₁ and S₂? Use g = 10 m/s².