a. 50
b. 86
c. 120
d. 70
c.
Concept - use the two components of the force
to find the required magnitude as shown below
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This concludes the answers. If there is any mistake or
omission, let me know immediately and I will fix
it....
Given f(x, y, z) = 4yz - x2, and that x, y, z are each differentiable functions of u and v. Suppose (x, y, z) = (-1,0,1) at (u, v) = (1, 2), and that af 09 = 70. au |(1,2) = -50 and av (1,2) What is the value of x,(1, 2)? a) 230/3 b)-230/3 c) 40 d) 110 e) -120
A force in the xy plane is given by = where F is a constant and r=. a.) Find the magnitude of the force. b.)Show that is perpendicular to =x c.) Find the work done by this force on a particle that moves once around a circle of radius 5 m centered at the origin. A force in the xy plane is given by hat{i}+yhat{j} c.) Find the work done by this force on a particle that moves once around...
A 6kg block is pulled 3m along a frictionless 20 degree incline
by a 50N force in the direction of 55 degrees with respect to the
horizontal as shown. What is the change in kinetic energy of the
block?
2. A 6 kg block is pulled 3 m along a frictionless 20° incline by a 50 N force in the direction θ-55° with respect to the horizontal as shown. What is the change in kinetic energy of the block? a)...
A force acting on a particle in the xy plane at coordinates (x, y) is given by vector F = (F_0/r) (y hat i - x hat j), where F_0 is a positive constant and r is the distance of the particle from the origin. Show that the magnitude of this force is F_0. Show that the direction of vector F is perpendicular to vector r = x hat i + y hat j.
A force acting on a particle moving in the x-y plane is given by F=2yi+x^2j N, where x and y are in meters. The particle moves from the origin to a final position having the coordinates x=5 m and y=5 m and shown in the figure above. Calculate the work done by F along (a) OAC, (b) OBC, and (c) OC. (d) Is F a conservative or non-conservative force? Explain?
Plz answer all questions
(20 pts/5 pt. each) As shown in the figure, the magnetic field over a certain range is given by B- B,k, where B,-0.5T.A proton moves into the magnetic field with a velocity - i+v,j+v,k, where v,-1x 10 m/s, By 3 x 10s m/s, and v, 3x10s m/s. The charge ofthe proton is 160x10" C,and the mass ofthe proton is 1.67 x 10 kg Here t.J.k are unit vectors in the x, y and z directions, respectively...
The values of 2 variables x and y are given as below. x 150 120 130 125 140 110 125 150 y 92 65 70 85 95 90 100 87 The linear correlation coefficient between x and y is Select one: a. 0.090 b. -0.090 c. 0.247 d. -0.247 e. None of the other answers in necessary tru
4. (8 pts.) The level curves of z = = f (x, y) are given along with the constraint curve g(x, y)= 8 9(x, y) = 8 40 50 60 70 0 30 20 10 a. Maximize and minimize f on the constraint. b. Label the point where the maximum occurs as A and the point where the minimum occurs as B. c. Sketch in the approximate vectors Vf and Vg at the points A and B.
Thejoint PDFofabivariate RV (X,Y ) is given by fXY (x,y)= where k isaconstant. (a) Determine the value of k. (b) Find themarginal PDFsof X andY. (c) Find P(0<X <1/2,0<Y <1/2). (d) Findtheconditional PDFs fY|X(y|x) and fX|Y (x|y). (e) Computetheconditional meansE[Y |x] andE[X|y]. (f) Computetheconditional variancesVar(Y |x) andVar(X|y). otherwise { k, 0<y≤x<1, 0, otherwise, Thejoint PDFofabivariate RV (X,Y ) is given by fXY (x,y)= { k, 0<y≤x<1, 0, otherwise, where k isaconstant. (a) Determine the value of k. (b) Find themarginal...
The force of constant of a spring of spring pendulum is 50N/m. A block of mass 0.5 kg, attached to it is pulled through a distance of 0.01 m before being released. Calculate the following expressions: a) the time period and frequency b) velocity amplitude and acceleration amplitude; c) the time required by the block to move half-way towards the center from its initial position d) total energy of the system.