please show work. Determine the magnitude of the resultant force for the system
ID: 2132816 • Letter: P
Question
please show work.
Determine the magnitude of the resultant force for the system shown Determine the magnitude of the resultant force for the system shown When travelling at 100 km/h, a car supplies a constant horizontal force of 50N to the hitch of a trailer. What is the power required to pull the trailer (in horsepower)? Water flows over a section of Niagara Falls at the rate of 1.2 x 10 6 kg/s and falls 50.0 m. How much power is generated by the falling water? A diver weighting 755 N leaves from a board 10.0 m above the waters surface with an initial downward speed of 2.0 m/s. Find the divers speed when striking the water.Explanation / Answer
1)
RX = A + B*cos(45) - c*cos(30) = 104.84 N
Ry = B*sin(45) + c*sin(30) = 191.44 N
R = sqrt(Rx^2+Ry^2) = 218.3 N
2)
Rx = F1 - F2*cos(60) - F3*cos(45) = 1.84 kN
Ry = F2*sin(60) - F3*sin(45) = -1.33 kN
R = sqrt(Rx^2 + Ry^2) = 2.27 kN
3) Power = F*v = 50*100*5/18 = 1388.9 Watts = 1.862 Hp
4)power = 1.2*10^5*9.8*50 = 5.88*10^7 Watts
5) v^2 - u^2 = 2*g*h
v = sqrt(u^2 + 2*g*h) = 14.14 m/s
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