90. A rod bent into the arc of a circle subtends an angle 20 at the center P of the circle (see below). If the rod is charged uniformly with a total charge Q, what is the electric field at P?
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- In step 3, where did the 19 come from, exactly?Suppose that the universe were full of spherical objects, each of mass m and radius r . If the objects were distributed uniformly throughout the universe, what number density (#/m3) of spherical objects would be required to make the density equal to the critical density of our Universe? Values: m = 4 kg r = 0.0407 m Answer must be in scientific notation and include zero decimal places (1 sig fig --- e.g., 1234 should be written as 1*10^3)Consider the following line element, ds^2 = −dt^2 + a^2(t) (dx^2 + dy^2) + b^2(t) dz^2, where a(t) and b(t) are distinct functions. State whether or not this line element obeys the Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.
- Problem A.1: Interstellar Mission You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of 6 m at the front surface and a length of 25 m. You have to cross the interstellar medium with an approximated density of 1 hydrogen atom/m3. (a) Calculate the time it takes your spaceship to reach Sirius.(b) Determine the mass of interstellar gas that collides with your spaceship during the mission. Note: Use 1.673 × 10−27 kg as proton mass. Problem A.2: Time Dilation Because you are moving with an enormous speed, your mission from the previous problem A.1 will be influenced by the effects of time dilation described by special relativity: Your spaceship launches in June 2020 and returns back to Earth directly after arriving at Sirius. (a) How many years will have passed from your perspective?(b) At which Earth date (year and month) will you…What is the equation of the sphere with center (1, -2, 5) and radius 9? O (x +1)? + (y – 2)² + (z+5)² = 81 O (r – 1)? + (y + 2)² + (z – 5)² = 81 O x? +y? + z? = 81 O (r – 1)? + (y + 2)² + (z – 5)² = 9 O (r+1)? + (y – 2)² + (z+ 5)² = 9Find the distance from the point (-7,2,8) to the yz-plane
- Please help me with these questions And when using an equation like this mxv/qb is the q 1.602 x 10^19 or -1.602 x 10^19Consider the following line element, ds^2 = −dt^2 + a^2 (t) (dx^2 + dy^2 ) + b^2 (t) dz^2 , where a(t) and b(t) are distinct functions. State whether or not this line element obeys the Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.Scientists are conducting an experiment to determine if their hypothesis that a certain constant in the universe is 1.65. the uncertainties in the experiment result in a relative uncertainty of no more than 2%. After several experimental trials, the scientists obtained an average value of 1.7 for the constant. What can be said about the scientists hypothesis? Hint calculate the percent error and compare it to the relative uncertainty.
- Use the Widmark Equation, , to solve this question. Recall that r = 0.68 for men and r = 0.55 for women. B = percentage of BACN = number of “standard drinks” (A standard drink is one -ounce beer, one -ounce glass of wine, or one -ounce shot of liquor.) N should be at least one.W = weight in poundsr = the distribution rate for alcohol through the body (this value is a constant), for males and for femalest = number of hours since the first drink A male student had four glasses of wine at a party. He weighs 172 pounds. How long will it take before his BAC falls to 0.05? 3.14 hours 3.57 hours 1.00 hours 4.29 hoursConsider a thought experiment performed in free space. In the experiment, a small cube C of mass m is placed at the centre of a large and highly massive disc D and a ball B of mass M revolves in circular path of radius R around the centre of the disc. The plane of the circle is perpendicular to the plane of the dise as shown in the figure. Intensity of the gravitational field of the disc near its centre is g. What should be range of coefficient of friction between the cube and the disc so that the cube remains motionless?Approximate values of length (in meters) 107 Diameter of Earth 1011 Distance from Earth to Sun 1016 Distance traveled by light in one year 1021 Diameter of the Milky Way Galaxy 1022 Distance from Earth to the nearest galaxy 1025 Distance from Earth to the edge of the known universe