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A city planner is working on theredesign of a hilly portion of a city. An important considerationis how steep the roads can be so that even low-powered cars can getup the hills without slowing down. It is given that a particularsmall car, with a mass of 1100kg, can accelerate on a levelroad from rest to 21 m/s (75.6km/h) in13.0s. Using this data, calculate the maximum steepness of a hill.
The 1.48cm3 volume betweenthe plates of a 111 pF parallel-plate capacitor is filled with adielectric. The area of each plate is 0.00222 m2 and the plates are0.666 mm apart. Find the permittivity of the dielectric.
A certain bivalent metal has a density of 6.458 g/cm3 and a molar mass of 92.8 g/mol. Calculate the number density of conduction electrons
A cylindrical piece of metal 0.085 m tall with a diameter of 3.90 cm has sp.gr. = 2.0, what is the mass of the cylinder
What mass of water (at 4.0 C) can be contained in a rectangular box whose dimensions are 10 cm by 5.00 cm by 1.00 cm? The density of water at 4C is 1.000 X 10 kg/m-cubed.
A telephoto lens consists of a converging front lens of focal length f1 and diverging back lens of focal length f2 separated by a distance d. Compute the effective focal length of the lens system
A unifrom solid disk is rolliong on a level surface with a speed of 45.0 m/s. How far along the incline will the disk roll
Tension is maintained in a string by attaching one end to a wall and by hanging a 2.06 kg object from the other end of the string after it passes over a pulley that is 2.12 m from the wall. What is the fundamental frequency of the string
Suppose after charging a 4 µF capacitor to 8 V, you connect it to the second uncharged capacitor of 7 µF. What voltage will your voltmeter read across the second capacitor
Blocks A (mass 2.00kg) and B (mass 10.00kg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 2.00 m/s. Find the velocity of each block after they have moved apart
Consider pendulum formed from a meter stick pinned at the end. The center of mass (COM) is at the middle of the ruler, and the COM rotational inertial is (see Table 10.2 in text) for meter( Text is principles of physics by Serway & Jewett). When t..
What is the magnitude of the electric field at the centre ofa square of side 45.00 cm if one corner is occupied by a chargeQ1 = 20.00 uC and the other three corners areoccupied by three charges each of charge Q2=-20.00 uC.
To a fish, the 4.20 mm thick aquarium walls appear to be only 3.80 mm thick. What is the index of refraction of the walls
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