Consider three force vectors F1 with magnitude 51 N and direction 150◦ , F2 with magnitude 36 N and direction −41◦ , and F3 with magnitude 11 N and direction 110◦ . All direction angles θ are measured from the positive x axis: counter-clockwise for θ > 0 and clockwise for θ < 0.

a. What is the magnitude of the resultant vector F~ = F1 + F2 + F3?
b. What is the direction of the net force vector F?

Awave with a frequency of 500 hz is traveling at a speed of 100 m/s.what is the wavelength?

A6.0-kilogram cart initially traveling at 4.0 meters per second east accelerates uniformly at 0.50 meter per second squared east for 3.0 seconds. what is the speed of the cart at the end of this 3.0 second interval? (1) 1.5 m/s (3) 3.0 m/s (2) 5.5 m/s (4) 7.0 m/s

If the sun were to become a black hole, what would happen to earth? it is impossible to know the results. it would be sucked in very rapidly. it would continue in the same orbit. it would be sucked in very slowly. 3. which type of radiation us map the galaxy? visible light infrared 21 cm radio waves ultraviolet 4. henrietta leavitt found that the brighter appearing cepheids always had longer periods of light variation. this is an expression of what? period-luminosity relation luminosity function hertzsprung-russell diagram mass-luminosity relation 5. what is the surface or boundary of a black hole called? quasar active galaxy event horizon seyfert point 6. edwin hubble's discovery of a cepheid variable in the andromeda nebula led him to conclude that the nebula was what? a distant galaxy composed of hydrogen a supernova remnant the birthplace of stars 7. earth is near the center of the milky way galaxy. true false 8. how long does it take the sun to revolve around the center of the galaxy? two hundred thousand years two hundred million years two hundred years two hundred billion years