A 18.0 k? resistor and a capacitor are connected in series and then a 12.0 V potential difference is suddenly applied across them. The potential difference across the capacitor rises to 8.76 V in 1.22 µs. (a) Calculate the time constant of the circuit (in ?s). (b) Find the capacitance of the capacitor in nanofarads.

What is the resistance of the bulb-current in the bulb : A 100 W lightbulb is plugged into a standard 120 V outlet. How much does it cost per month (30 days) to leave the light turned on continuosly? Assume electrical energy costs 7.5/kWh. (Enter dollars with no unit) What is the resistance of the bulb? Wh.. |

How fast is the center of mass of the two-stone system : A stone is dropped at t = 0. A second stone, with 6 times the mass of the first, is dropped from the same point at t = 160 ms. (a) How far below the release point is the center of mass of the two stones at t = 300 ms? (Neither stone has yet reached t.. |

Whats the period of the resulting oscillations : A spring (k = 60.5 N/m) hangs vertically with its top end fixed. a mass attached to the bottom of the spring then displace it 0.225 m. establishing a new equilibrium. If the mass is further displaced and then released, what's the period of the result.. |

Work-energy theorem to find his speed at the top of the ramp : A physics professor is pushed up a ramp inclined upward at an angle 31.0 above the horizontal as he sits in his desk chair that slides on frictionless rollers. The combined mass of the professor and chair is 90.0 . He is pushed a distance 2.85along t.. |

Find the capacitance of the capacitor in nanofarads : A 18.0 k? resistor and a capacitor are connected in series and then a 12.0 V potential difference is suddenly applied across them. The potential difference across the capacitor rises to 8.76 V in 1.22 µs. (a) Calculate the time constant of the circui.. |

An infinitely long charged wire produces an electric field : An infinitely long charged wire produces an electric field of magnitude 1.17 103 N/C at a distance of 46.4 cm perpendicular to the wire. The direction of the electric field is toward the wire. (a) What is the charge distribution? (b) How many electro.. |

Center of a conducting spherical shell : -5-nC point charge is located at the center of a conducting spherical shell. The shell has an inner radius of 2 m, an outer radius of 4 m, and a charge of +6 nC. (Let the radially outward direction be positive.) |

What is the total net charge of the spherical shell : Consider a hollow spherical conductor with total charge +5e. The outer and inner radii are a and b, respectively. (a) Calculate the charge on the sphere's inner and outer surfaces if a charge of -3e is placed at the center of the sphere. (Use the .. |

What is the amplitude of the oscillation : An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at =0 . It then oscillates with a period of 1.50 and a maximum speed of 58.0 . A What is the amplitude of the oscillation? B What is the glider's po.. |

## Calculate the flux through the shaded faceA cube of edge length l = 3.80 cm is positioned as shown in Figure P30.35. A uniform magnetic field given by B = (5.50 i + 4.00 j + 3.00 k) T , Calculate the flux through the shaded face |

## Calculate the total entropy change of the universeA real heat engine working between heat reservoirs at 970. K and 650. K produces 550. J of work per cycle for heat input of 2200. J. Calculate the total entropy change of the universe |

## What is the speed of the raindropsA train is moving east on a straight track with a speed of 12.9 m/s. What is the speed of the raindrops with respect to the ground |

## Determine the number of rotations a wheel makesA vehicle with wheels whose diameter is 36 inches is traveling at a rate of 30 feet per second. Determine the number of rotations a wheel makes in 1 minute |

## What is the magnitude of the net torque on the loopA small current loop of area A=0.0008m2 and moment of inertia I=6.9e-07kgm2 carries a current i=0.0039A with its magnetic moment perpendicular to the Earth's magnetic field. What is the magnitude of the net torque T on the loop |

## Find the final temperature of the air in the tiresA driver measures her "cold" tire gauge pressure to be 1.97 105 Pa. The measurement is made before driving, Find the final temperature of the air in the tires |

## Compute the maximum extension of the springA block of mass 3.41 kg is attached to a spring (k=31.9 N/m) by a rope that hangs over a pulley of mass M=6.82 kg and radius R=3.61 cm. find the maximum extension of the spring |

## Find the spring constant of the springA 3.00-kg object is fastened to a light spring, with the intervening cord passing over a pulley. The pulley is frictionless, and its inertia may be neglected. |

## Establish the components of the coyotes impact velocityAn aging coyote cannot run fast enough to catch a roadrunner. He purchases on eBay a set of jet-powered roller skates, which provide a constant horizontal acceleration of 15.0 m/s2. The coyote starts at rest 70.0 m from the edge of a cliff at the ins.. |

## How fast is the ball moving after impactA golf ball (mass = 46 g) is struck by a golf club (mass = 210 g). The club head's velocity, how fast is the ball moving after impact |

## Calculate the angle of the fourth-order imageBlue light (Î» = 450 nm) shines on a diffraction grating that has 4000 lines/inch. Calculate the angle of the fourth-order image. |

## How much work must be done to stretch the springA spring with spring constant of 29 N/m is stretched 0.21 m from its equilibrium position. How much work must be done to stretch it |

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