to solve the question please use the equations below.  - a mass M moving with a velocity V1i collides with mass 2M moving with a velocity V2i. After the collision the first mass has a velocity V1f. make a diagram of the initial momemtub vectors and final momentum vectors in a (x,y) plane. determine the final velocity of the second mass in (I J K) notation. determine the final velocity of the second mass in terms of speed and angle. V1i=12 i -5J     V2i= -3i +2J     V1f= 8i +7J

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
Section6.2: Work Done By A Constant Force
Problem 6.1QQ
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to solve the question please use the equations below. 

- a mass M moving with a velocity V1i collides with mass 2M moving with a velocity V2i. After the collision the first mass has a velocity V1f.

make a diagram of the initial momemtub vectors and final momentum vectors in a (x,y) plane.

determine the final velocity of the second mass in (I J K) notation.

determine the final velocity of the second mass in terms of speed and angle.

V1i=12 i -5J     V2i= -3i +2J     V1f= 8i +7J

0 = s/r
@= @o + at
Conditions of static
Σ Fx = 0
Waves
Vibrational motion
T = 1/f
@ = 2nf
equilibrium
Vmax = Aw
v = fA
fn = n fo
@ = V/r
0 = 0o+wot + ½ at²
@ = sqrt(k/m)
Σ Fx = 0
Calorimetry
Ideal gas law:
Moment of inertia of
a = at/r
PV = nRT
v = sqrt(T/μ)
In = 2L/n
q=mc AT or
A ring I MR²
A sphere I = 2/5 MR²
Σ Τ = Σ Tecw
x(t) = A cos (wt + p)
v(t) = -Aw sin (wt + p)
a(t) = -Aw² cos(wt + p)
amax = Aw²
ac = w²r
w² = wo² + 2 a(0-00)
Fmax = m A 6²
μ = mass/length
q = AH m
R = 8.314 L-kPa/mol-K
A rod
A disc I ¹2 MR²
I = 1/3 ML²
Transcribed Image Text:0 = s/r @= @o + at Conditions of static Σ Fx = 0 Waves Vibrational motion T = 1/f @ = 2nf equilibrium Vmax = Aw v = fA fn = n fo @ = V/r 0 = 0o+wot + ½ at² @ = sqrt(k/m) Σ Fx = 0 Calorimetry Ideal gas law: Moment of inertia of a = at/r PV = nRT v = sqrt(T/μ) In = 2L/n q=mc AT or A ring I MR² A sphere I = 2/5 MR² Σ Τ = Σ Tecw x(t) = A cos (wt + p) v(t) = -Aw sin (wt + p) a(t) = -Aw² cos(wt + p) amax = Aw² ac = w²r w² = wo² + 2 a(0-00) Fmax = m A 6² μ = mass/length q = AH m R = 8.314 L-kPa/mol-K A rod A disc I ¹2 MR² I = 1/3 ML²
180 degrees = à radians
Vector components
For constant acceleration conditions:
Newton's Second Laws of motion
Gravitational force, or weight
Frictional force
Hooke's law
Centripetal force
Conservation of energy
Work
Gravitational potential energy
Spring potential energy
Kinetic energy
Impulse
Momentum
Momentum conservation
Torque
Moment of inertia
use g = 10 m/s²
Vx = V cos 0
Vx² + V₂² = V²
V = V0 + at
d = do + vot + ½ at²
v² = vo² + 2a(d-do)
ΣF = ma
Fg = mg
F = ]N
F = -kx
Fc = mv²/r
Σ Ε; + W = Σ Ε
W = F Ad cose
Ug = mgh
Us = ¹2 kx2¹
KE = ¹2 mv² or 12 Iw2
J = F At
Vy = V sin 0
tan 0 = Vy/Vx
p = mv or L = Iw
Σ pi + J = Σ pf
T = I a = Fr sin 0
I = = Σ mr₁²
Transcribed Image Text:180 degrees = à radians Vector components For constant acceleration conditions: Newton's Second Laws of motion Gravitational force, or weight Frictional force Hooke's law Centripetal force Conservation of energy Work Gravitational potential energy Spring potential energy Kinetic energy Impulse Momentum Momentum conservation Torque Moment of inertia use g = 10 m/s² Vx = V cos 0 Vx² + V₂² = V² V = V0 + at d = do + vot + ½ at² v² = vo² + 2a(d-do) ΣF = ma Fg = mg F = ]N F = -kx Fc = mv²/r Σ Ε; + W = Σ Ε W = F Ad cose Ug = mgh Us = ¹2 kx2¹ KE = ¹2 mv² or 12 Iw2 J = F At Vy = V sin 0 tan 0 = Vy/Vx p = mv or L = Iw Σ pi + J = Σ pf T = I a = Fr sin 0 I = = Σ mr₁²
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