Question
In: Advanced Math
A fluid flow is defined by u = (0.4x2 + 2t) m/s and v = (0.8x...
A fluid flow is defined by u = (0.4x2 + 2t) m/s and v = (0.8x + 2y) m/s, where x and y are in meters and t is in seconds.
Part A
Determine the magnitude of the velocity of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s.
V=
Part B
Determine the direction of the velocity of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s. Enter your answer as the angle θV, which the velocity makes with the x axis, measured counterclockwise from the positive x axis.
.
Part C
Determine the magnitude of the acceleration of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s.
Part D
Determine the direction of the acceleration of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s. Enter your answer as the angle θa, which the acceleration makes with the x axis, measured counterclockwise from the positive x axis.
Solutions
Colby Messinger answered 2 years agoRelated Solutions
A fluid has velocity components of u=(8t2)m/s and v=(8y+3x)m/s, where x and y are in meters...
A fluid has velocity components of u=(8t2)m/s and v=(8y+3x)m/s,
where x and y are in meters and t is in seconds.
Part A
Determine the magnitude of the velocity of a particle passing
through point (1 m, 1 m) when t = 2 s.
V=
Part B
Determine the direction of the velocity of a particle passing
through point (1 m, 1 m) when t = 2 s.
θv=
Part C
Determine the magnitude of the acceleration of a particle...
Suppose u, and v are vectors in R m, such that ∥u∥ = 1, ∥v∥ =...
Suppose u, and v are vectors in R m, such that ∥u∥ = 1, ∥v∥ = 4,
∥u + v∥ = 5. Find the inner product 〈u, v〉.
Suppose {a1, · · · ak} are orthonormal vectors in R m. Show that
{a1, · · · ak} is a linearly independent set.
18) A proton travels with a speed (v) of 5m / s in a 2T magnetic...
18) A proton travels with a speed (v) of 5m / s in a 2T magnetic
field (B). The angle between v
and B is 22nd. What is the magnitude of the magnetic force acting
on the proton?
(a) 14.8x10-19N (b) 6x10-19N (c) 0N (d) 16x10-19N
19) An electron experiences a magnetic force FB = (i 2.4 - j 1.8)
x10-13N when it passes through a field
magnetic B = k 0.7T. The magnitude of the electron velocity
is:
(a)...
(1) Suppose that V is a vector space and that S = {u,v} is a set...
(1) Suppose that V is a vector space and that S = {u,v} is a set
of two vectors in V. Let w=u+v, let x=u+2v, and letT ={w,x} (so
thatT is another set of two vectors in V ). (a) Show that if S is
linearly independent in V then T is also independent. (Hint:
suppose that there is a linear combination of elements of T that is
equal to 0. Then ....). (b) Show that if S generates V...
Ed's utility from vacations (V) and meals (M) is given by the function U(V,M) = V2M....
Ed's utility from vacations (V) and meals (M) is given by the
function
U(V,M) = V2M. Last year, the price of vacations was $200 and the
price of meals
was $50. This year, the price of meals rose to $75, the price of
vacations remained
the same. Both years, Ed had an income of $1500.
a. Set up a Lagrangian to solve utility maximization problem with
initial
price and find equilibrium.
b. When price of meals increased repeat the a...
Ed's utility from vacations (V) and meals (M) is given by the function U(V,M) = V2M....
Ed's utility from vacations (V) and meals (M) is given by the
function U(V,M) = V2M. Last year, the price of vacations was $200
and the price of meals was $50. This year, the price of meals rose
to $75, the price of vacations remained the same. In both years, Ed
had an income of $1500. Calculate the ΔCS, CV, and EV from the
change in meal prices.
Ed's utility from vacations (V) and meals (M) is given by the function U(V,M) = V2M....
Ed's utility from vacations (V) and meals (M) is given by the
function U(V,M) = V2M. Last year, the price of vacations
was $200 and the price of meals was $50. This year, the price of
meals rose to $75, the price of vacations remained the same. Both
years, Ed had an income of $1,500. Include a budget line
and indifference curve diagram in your response to this
question.
What is Ed’s optimal consumption of vacations and meals before
and...
If V = U ⊕ U⟂ and V = W ⊕ W⟂, and if S1: U...
If V = U ⊕ U⟂ and V = W ⊕ W⟂, and if
S1: U → W and S2: U⟂ →
W⟂ are isometries, then the linear operator defined for
u1 ∈ U and u2 ∈ U⟂ by the formula
S(u1 + u2) = S1u1 +
S2u2 is a well-defined linear isometry. Prove
this.
1. Let U = {r, s, t, u, v, w, x, y, z}, D = {s,...
1. Let U = {r, s, t,
u, v, w, x, y,
z}, D = {s, t, u,
v, w}, E = {v, w,
x}, and F = {t, u}. Use roster
notation to list the elements of D ∩ E.
a.
{v, w}
b.
{r, s, t, u, v,
w, x, y, z}
c.
{s, t, u}
d.
{s, t, u, v, w,
x, y, z}
2. Let U = {r, s,
t, u, v, w, x,
y, z},...
Let U, V be iid Unif(0, 1) random variables, and set M = max(U,V) and N...
Let U, V be iid Unif(0, 1) random variables, and set
M = max(U,V) and N = min (U,V)
(a) Find the conditional density of N given M = a for any value
of a ∈ (0, 1).
(b) Find Cov(M, N).
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