A Prius of mass m1 = 1.38 Γ 103
kg is travelling north with an unknown initial speed π£1π
. A RAV4 of
mass m2 = 1.61 Γ 103
kg is travelling with an initial velocity of π£β2π = 17.8 m/s, 20.0o north of west.
The two vehicles collide and stick together. Immediately after the collision, the combined vehicles
are moving with a velocity of π£βπ = 13.1 m/s, at an angle of 43.4o west of north. What was the initial
speed of the Prius before the collision (π£1π
)? {π£1π = 13.5 m/s
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Answers & Comments
Verified answer
The final momentum has north component
py = (1380+1610)kg*13.1m/s*cos43.4ΒΊ = 28549 kgΒ·m/s
the initial momentum has the same north component:
28549 kgΒ·m/s = 1380kg*v1i + 1610kg*17.8m/s*sin20ΒΊ
solves to
v1i = 13.6 m/s
Hope this helps!
It's affected to write 1.38 x 103 kg. when the mass is really 1380 kg.
your numbers don't make sense. 130 kg for a prius is silly.
and what is Β )? {π£1π = 13.5 m/s