A 40 meter long train it’s accelerating at a constant rate. If the front of the train it’s moving 30 m/s past construction work 150 meters from it’s starting point, how fast will the end of the train be moving when it passes him Use the equations provided please

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 46PQ: In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A...
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A 40 meter long train it’s accelerating at a constant rate. If the front of the train it’s moving 30 m/s past construction work 150 meters from it’s starting point, how fast will the end of the train be moving when it passes him Use the equations provided please
Equations:
Vector components, standard Cartesian plane:
Vx= V cos 8
Vy = V sin 0
Constant linear acceleration:
V = Vo + at
Projectile motion:
X = Xo + Voxt
Rotational motion:
0 = s/r
@= @o + at
Frictional force:
w = v/r
Newton's Second Law of motion:
Centripetal force:
Use g
d = do + Vot + ½ at²
Gravitational force, or weight:
=
Vx² + Vy² = V²
y = yo + Voy - 1/2 gt²
360⁰ = 2n radians
a = aT/r
000+ wot + ½ at²
tan 8 = Vy/Vx
v² = vo² + 2a(d-do)
Vy = Voy -gt
ac = v²/r = rw²
w² = wo² + 2a(0 - 0)
ΣF = ma
Fg = mg
Ff = µFn
Fc = mv²/r
10.0 m/s² for the acceleration due to gravity near the surface of the earth.
Transcribed Image Text:Equations: Vector components, standard Cartesian plane: Vx= V cos 8 Vy = V sin 0 Constant linear acceleration: V = Vo + at Projectile motion: X = Xo + Voxt Rotational motion: 0 = s/r @= @o + at Frictional force: w = v/r Newton's Second Law of motion: Centripetal force: Use g d = do + Vot + ½ at² Gravitational force, or weight: = Vx² + Vy² = V² y = yo + Voy - 1/2 gt² 360⁰ = 2n radians a = aT/r 000+ wot + ½ at² tan 8 = Vy/Vx v² = vo² + 2a(d-do) Vy = Voy -gt ac = v²/r = rw² w² = wo² + 2a(0 - 0) ΣF = ma Fg = mg Ff = µFn Fc = mv²/r 10.0 m/s² for the acceleration due to gravity near the surface of the earth.
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