Question
please keep the steps neat so I can understand what's going on and please do both of the subsections. thank u
The figure below shows a worker poling a boat-a very efficient mode of transportation-acr magnitude 2 e pushes parallel to the length of the light pole, exerting a force of ume the pole lies in the vertical plane containing the keel of the boat. At one moment, the pole makes an angle of 30.50 with t force of 47.5 N on the boat, opposite to its forward velocity of magnitude 0.857 m/s. The mass of the boat including its cargo and the worker i 377 kg. a) The water exerts a buoyant force vertically upward on the boat. Find the magnitude of this force b) Model the forces as constant over a short interval of time to find the magnitude of the velocity of the boat o.290 s after the moment described m/s My N 10. ms tysta ne shown hale are in equi urn with m-9 30 kg and e-aio, If the spring scales are calibrated i strings and assume the pulleys and the incline are frictionless n newtons, what do they read? Ignore the masses of the pulleys and 14 PM O Type here to search
Explanation / Answer
Apply Newton second law along y axis
F net = N + F cos ttheta - mg
0 = N+ F cos theta - mg
N = mg - F cos theta
= 377(9.8) - 243 cos30.5
= 3485.22 N
(b)
Apply Newton second law
F sin theta - f = ma
a = F sin theta- f/ m
= 243 sin 30.5- 47.5/377
= 0.20 m/s^2
Apply kinematic equation
v= u+ at
= 0.857 + (0.2) (0.290)
= 0.915 m/s
