Una carga positiva Q0 , de masa M es lanzada con una rapidez V0 y un ángulo θ respecto a la dirección vertical; la carga está inmersa en un campo eléctrico uniforme horizontal y hacia la derecha (como lo indica la figura) que existe entre dos placas verticales separadas una distancia d, determine: a) cuánto tiempo le lleva a la carga llegar al agujero situado a una altura h medida desde el lugar inicial del lanzamiento, b) cuál es la velocidad que tiene la carga al llegar al mismo, c) cuál es el módulo del campo eléctrico que se requiere para que la carga atraviese el pequeño agujero. NO desprecie los efectos de la gravedad. Considere: g = 10 m/s2, h = 0,1 m, V0 = 3 m/s, d = 75,98 cm, Q0 = 10 mC, M = 0,1 Kg, θ= 600

Comedians like to joke that the reason we haven’t been visited by intelligent life from elsewhere in the universe is that aliens have been monitoring earth’s broadcasts of intellectually embarrassing tv programs, like gilligan’s island, fear factor, the jersey shore, and the jerry springer showand so consider us far too primitive to merit a visit. let’s check the assertion that aliens could have been receiving them. tv programs are broadcast at a frequency of about 100mhz with about 100kw of total power in 30frames per second, which emanatesroughly uniformly in all directions. assume that interstellar space transmits these broadcasts without attenuation. no matter how smart they are, aliens would require at least one photon per frame to interpret our signals. findthe number of photons per unit time per unit area reaching a receiver on a possible planet in the nearest star system, which is about 4 light-years away (a light-year is the distance light travels in a year). if aliens aimed a receiver or detector directly at earth, how big (in diameter) would it have to be to receive a photon per frame

Determine the change in width a, height b, thickness t when a plate is subjected to the uniform distributed load and is made of material having modulus of elasticity e=230 gpa and poisson's ratio ν=1/3. given : a=400 mm and b= 300 mm also the uniformly distributed load in downward y direction of plate is 2 mn/m and in the positive x direction is 3 mn/m and t=20 mm

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)