## Description

## Test Bank For PHYSICS FOR SCIENTISTS AND ENGINEERS 9TH EDITION BY SERWAY

**Chapter 8—Conservation of Energy**

**MULTIPLE CHOICE**

- A single conservative force
*F*_{x}= (6.0*x*– 12) N (*x*is in m) acts on a particle moving along the*x*axis. The potential energy associated with this force is assigned a value of +20 J at*x*= 0. What is the potential energy at*x*= 3.0 m?

a. | +11 J |

b. | +29 J |

c. | +9.0 J |

d. | -9.0 J |

e. | +20 J |

ANS: B PTS: 2 DIF: Average

- As a particle moves along the
*x*axis it is acted upon by a single conservative force given by*F*_{x}= (20 – 4.0*x*) N where*x*is in m. The potential energy associated with this force has the value +30 J at the origin (*x*= 0). What is the value of the potential energy at*x*= 4.0 m?

a. | -48 J |

b. | +78 J |

c. | -18 J |

d. | +48 J |

e. | +80 J |

ANS: C PTS: 2 DIF: Average

- A 0.40-kg particle moves under the influence of a single conservative force. At point A where the particle has a speed of 10 m/s, the potential energy associated with the conservative force is +40 J. As the particle moves from A to B, the force does +25 J of work on the particle. What is the value of the potential energy at point B?

a. | +65 J |

b. | +15 J |

c. | +35 J |

d. | +45 J |

e. | -40 J |

ANS: B PTS: 2 DIF: Average

- As a 1.0-kg object moves from point A to point B, it is acted upon by a single conservative force which does -40 J of work during this motion. At point A the speed of the particle is 6.0 m/s and the potential energy associated with the force is +50 J. What is the potential energy at point B?

a. | +72 J |

b. | +10 J |

c. | +90 J |

d. | +28 J |

e. | +68 J |

ANS: C PTS: 2 DIF: Average

- A 12-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0.80 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude
*P*= 80 N) acting parallel to the surface is applied to the block, as shown. What is the speed of the block when it is 13 cm from its equilibrium position?

a. | 0.78 m/s |

b. | 0.81 m/s |

c. | 0.71 m/s |

d. | 0.58 m/s |

e. | 0.64 m/s |

ANS: A PTS: 2 DIF: Average

- A 7.0-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 1.2 kN/m). The block is initially at rest at its equilibrium position when a force of magnitude
*P*acting parallel to the surface is applied to the block, as shown. When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s. How much work is done on the block by the force*P*as the block moves the 8.0 cm?

a. | 7.4 J |

b. | 5.4 J |

c. | 6.1 J |

d. | 6.7 J |

e. | 4.9 J |

ANS: C PTS: 2 DIF: Average

- A 0.60-kg object is suspended from the ceiling at the end of a 2.0-m string. When pulled to the side and released, it has a speed of 4.0 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up?

a. | 61° |

b. | 54° |

c. | 69° |

d. | 77° |

e. | 47° |

ANS: B PTS: 3 DIF: Challenging

- A pendulum is made by letting a 2.0-kg object swing at the end of a string that has a length of 1.5 m. The maximum angle the string makes with the vertical as the pendulum swings is 30°. What is the speed of the object at the lowest point in its trajectory?

a. | 2.0 m/s |

b. | 2.2 m/s |

c. | 2.5 m/s |

d. | 2.7 m/s |

e. | 3.1 m/s |

ANS: A PTS: 2 DIF: Average

- A 2.0-kg mass swings at the end of a light string (length = 3.0 m). Its speed at the lowest point on its circular path is 6.0 m/s. What is its kinetic energy at an instant when the string makes an angle of 50° with the vertical?

a. | 21 J |

b. | 15 J |

c. | 28 J |

d. | 36 J |

e. | 23 J |

ANS: B PTS: 3 DIF: Challenging

- A 2.5-kg object suspended from the ceiling by a string that has a length of 2.5 m is released from rest with the string 40° below the horizontal position. What is the tension in the string at the instant when the object passes through its lowest position?

a. | 11 N |

b. | 25 N |

c. | 42 N |

d. | 18 N |

e. | 32 N |

ANS: C PTS: 3 DIF: Challenging

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