Our universe has an age to ~ 13.7 gyr and h. 67.74 km s-1 mpc-1. (a) show that the hubble time is 14.44 gyr and that to = 0.949h,. (b) show that the universe would be 1.42 times younger if it were always matter-dominated (c) show that the universe would be 1.9 times younger if it were always radiation-dominated (d) use the above to argue that radiation-dominated universes expand faster than matter-dominated ones (e) imagine our universe had a single component, show that, to get to = 13.7 gyr, w = -0.300. what kind of universe is this?

Free runners jump long distances and land on the ground or a wall. how do they apply newton’s second law to lessen the force of impact?

Athin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of v = 7.5 m/s. the two stationary surfaces are spaced 4 cm apart, and the medium between them is filled with oil whose viscosity is 0.9 n·s/m2. the part of the plate immersed in oil at any given time is 2 m long and 0.5 m wide. if the plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. what would your response be if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top surface (h1)? if the plate moves through the mid-plane between the surfaces, the force required to maintain the motion will be n. if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top (h1) surface, the force required to maintain the motion would be n.

Aproduction line at v. j. sugumaran's machine shop has three stations. the first station can process a unit in 7 minutes. the second station has two identical machines, each of which can process a unit in 16 minutes (each unit only needs to be processed on one of the two machines). the third station can process a unit in 10 minutes. ▼ is the bottleneck station, with a bottleneck time of nothing minutes per unit (enter your response as a whole number).