3. A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of v. = 22.3 m/s and a 1500 kgpickup is traveling north toward the same intersection. The car and truck collide at the intersection and stick together. After the collision, the wreckage (Ent (car and truck) moves off in a direction of 45.0° above the x- axis. Determine the initial speed of the truck (in m/s) Ans: 14.6 city (in m) er MAV, X-direction Common velocity Mc Vc = (Mct my) Vcoso -O %3D 08 0. Y-direction MeVz = Cmctme) Vsing @ Divide ear☺ by O Tc Initial speed of truck Sin 0 08 138 Mc Vc (M/+ MĘ)V Coso V4= tan@ Mc Vc Mt Me VE - tan@ > Mc Vc MeVE = tan@ x M. Vc 8=45° M Vz = = tan@ Mc Vc Wit

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 9.36P
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Not understanding why -tan is used 

3. A car with a mass of 980 kg is initially traveling east toward an
intersection with a speed of v. = 22.3 m/s and a 1500 kgpickup is
traveling north toward the same intersection. The car and truck collide
at the intersection and stick together. After the collision, the wreckage (Ent
(car and truck) moves off in a direction of 45.0° above the x-
axis. Determine the initial speed of the truck (in m/s)
Ans: 14.6
city
(in m)
er
MAV,
X-direction
Common
velocity
Mc Vc = (Mct my) Vcoso -O
%3D
08
0.
Y-direction
MeVz = Cmctme) Vsing @
Divide ear☺ by O
Tc
Initial speed
of truck
Sin 0
08
138
Mc Vc
(M/+
MĘ)V Coso
V4=
tan@
Mc Vc
Mt
Me VE - tan@ >
Mc Vc
MeVE = tan@ x M. Vc
8=45°
M Vz =
= tan@ Mc Vc
Wit
Transcribed Image Text:3. A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of v. = 22.3 m/s and a 1500 kgpickup is traveling north toward the same intersection. The car and truck collide at the intersection and stick together. After the collision, the wreckage (Ent (car and truck) moves off in a direction of 45.0° above the x- axis. Determine the initial speed of the truck (in m/s) Ans: 14.6 city (in m) er MAV, X-direction Common velocity Mc Vc = (Mct my) Vcoso -O %3D 08 0. Y-direction MeVz = Cmctme) Vsing @ Divide ear☺ by O Tc Initial speed of truck Sin 0 08 138 Mc Vc (M/+ MĘ)V Coso V4= tan@ Mc Vc Mt Me VE - tan@ > Mc Vc MeVE = tan@ x M. Vc 8=45° M Vz = = tan@ Mc Vc Wit
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