A cyclist in a race must climb a 5° hill at a speed of 8 m/s. If the mass of the bike and the biker together is 80 kg, what must be the power output of the biker to achieve the goal?
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- 1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle all correct responses) a. u, has the same units as A b. ил1 c. u, points in the same direction as A d. uA < A e. u, is unitless 2. Considering two force vectors F1 = Fii+ Fj+ F1,k and F2 = F2i+ Fj + F2,k with their unit vectors ui = F1 / F; = (u1x) i+ (u1) j+ (u12) k and uz = F2 /F2= (u2) i+ (uz) j+(uz:), which of the following are valid calculations for the resultant force FR=F1+ F;? (circle all correct responses) a. FR = (Fix+ F2)i+(Fiy+ F2) j+(Fiz+ F2) k b. FR = (F1 + F:) [(uix+ u2x)i+(uiy + u2) j+ (uiz + u2) k] c. FR = (F? + F?)0S [(u!x+ u2) i+ (uiy + uz) j+ (uiz + u2:) k] d. FR = (F1uix+ Fru2x)i+ (F1u1y+Fruz»)j+(F1u1:+ F2uz)k %3D 3. Consider two vectors A and B with unit vectors u4 = A/ A and ug = B / B and angle between A and B is 0. Which of the following are correct with regard to dot products? (circle all correct responses) a. A-B is a scalar b. A·B is a vector c. If A and B are…One of the main speed tests in athletics is the 400 meters dash. At the 1999 Seville World Championship, athlete Michael Johnson won that event, with 43.18 seconds. This time, second, written in scientific notation is: a. 0.4318 x 102 b. 4.318 x 101 c. 431.8 x 10-1 d. 43.18 x 100 e. 4,318 x 10-2F. What is the speed at the halfway point?