Suppose we have a charge, q1=1 μC. This charge makes an electric field some distance r=73 cm away from it. Now suppose our measurement of q1 is only accurate to within 0.2 μC, and our measurement of r is only accurate to within 1.5 cm. What is the uncertainty in our field calculation due only to the uncertainty in the charge separation r?

Electric charge is distributed over the triangular region D shown below so that the charge density at (r, y) is o(x, y) = 3ry, measured in coulumbs per square meter (C/m2). Find the total charge on 4 3 21 2. 4 coulumbs

When an object with an electric charge of −0.720mC is 77.0m from an object with an electric charge of −0.200mC, the force between them has a strength of 0.2183N. Calculate the strength of the force between the two objects if they are 231.m apart. Round your answer to 3 significant digits.

Using your values for 7, calculate the average period Ibar (I) and its standard error. How does the error on the average period /bar (T) compares to the errors on the periods, I? What can you do to reduce the uncertainty on /bar (T)? What can you do to reduce the uncertainty on 7 ? Peried Trial T AT 4 141 $ 10.69 +α-0.5 2 10.60 + or -0.5 2 10.40 +α-0.5 10.43 +α-0.5 S 10.37 + or -0.5 Using your values for T, calculate the average period 7 and its standard error How does the error on the garage period compares to the errors on the periods, 7? What can you do to reduce the uncertainty on 7? What can you do to reduce the uncertainty on T7

surface, denoted by “g”. In this imaginary experiment, you have measured g three times. The values you obtain are:                 g1 = 10.2 meters per second squared  (m/s2)                 g2 = 10.4 m/s2                 g3 = 10.0 m/s2   To find the Average Value of g, denoted by gav, simple add up the experimental values and divide by the number of experimental values you have:                              g1 + g2  + g3         10.2 + 10.4 + 10                  gav  =  __________  = ____________  =   10.2 m/s2 .                                   3                           3                                  Percent Error (PE)   To find the Percent Error (PE), you compare the average experimental value to the standard or handbook value of the physical quantity you are measuring. The Standard Value of gravitational acceleration at Earth’s surface , gst, is 9.8 m/s2.         Mathematically, PE is defined as:                                           (Average - Standard)…

please answer parts E, F, and G

Electric charge q=-4.1 mC and mass m=3.1×10−6 kg moves with a speed v=9 km/s along the electric field (with it or against it). What is the speed of the charge after the charge travels through a potential difference AV=-3 kV. -6 Express your answer in km/s, rounded to three places after the decimal.

A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.

a) A typical small passenger electric vehicle has a range of 200 km on an electric charge of 33 kWh. Convert this number into J/km (Joules per kilometer traveled). b) A comparably sized gasoline powered vehicle to (a) is rated as 25 miles per gallon. Convert this number into J/km (Joules per kilometer traveled). c) If gasoline costs $10.00 per gallon, and electricity $0.30 per kWh what is the difference in the cost of fuel per kilometer travelled between the electric vehicle in (a) and the gasoline powered vehicle in (b)? d) Surveys of EV owners show that they charge at home 70% of the time. Let us assume that for the remaining 30% they charge at a 60 kW rated "fast-charge” station. If patterns of travel remain the same, but we swap all our gasoline vehicles for electric vehicles, what is the ratio between installation of fast charging stations to gasoline pumps retired. e) The Chicago Transit Authority has about 2700 buses that travel a total of 240,000 miles daily. A typical bus…