Homework Statement
Find the points on the surface xy^2z^3=2 that are closest to the origin
Homework Equations
The Attempt at a Solution
x,y,z=/= 0, as when x,y,z = 0 it is untrue. Right?? Otherwise, I am very unsure as to how to approach this problem. Should I be taking partial derivatives...
Homework Statement
You are exploring a newly discovered planet. The radius of the planet is 7.20 * 107 m. You suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. You measure that it takes 0.0685 s for a transverse pulse to travel from the...
Homework Statement
Solve the following differential equations/initial value problems:
(cosx) y' + (sinx) y = sin2x
Homework Equations
I've been attempting to use the trig ID sin2x = 2sinxcosx.
I am also trying to solve this problem by using p(x)/P(x) and Q(x)
The Attempt at a Solution...
Homework Statement
Solve the following differential equations/initial value problem:
y^(4) - y'' - 2y' +2y = 0 Hint: e^-x sinx is a solution
Homework Equations
I was attempting to solve this problem by using a characteristic equation.
The Attempt at a Solution
y'''' -y'' -2y' + 2y = 0 -->...
Homework Statement
Using the heats of fusion and vaporization for water, calculate the change in enthalpy for the sublimation of water:
H2O(s) --> H2O(g
Using the delta H value given in Exercise 24 and the number of hydrogen bonds formed to each water molecule, estimate what portion of the...
Homework Statement
An alpha particle (charge equals +2e) is sent at high speed toward a gold nucleus (charge equals +79e). What is the electrical force acting on the alpha particle when it is (2.0 x 10-14) m from the gold nucleus?
Homework Equations
I tried using Coulomb's law, which is E =...
Homework Statement
<I will attach a diagram below> In terms of m, g and r. FInd the normal force at the top of the loop.
Homework Equations
∑F = Fc = FN+Fg ∴ Fc=FN+Fg ∴FN = Fc - Fg ∴ N=mV2/r - mg
The Attempt at a Solution
Fc=mV2/r - mg and V2=ra and a=g ∴C=mrg/r ∴C = mg ∴mg-mg=N ∴ N=0 N. BUT...
Homework Statement
Consider a frictionless track as shown (I will attach an image in a follow up post). A block of mass M1= 5.00 kg is released from point A. It makes a head-on elastic collision at B with a block of mass m2 = 10 kg that is initially at rest. Calculate the maximum height to...
Homework Statement
A skier of mass 70 kg is pulled up a slope by a motor-drive cable.
a. How much work is required to pull him 60 m up a 30° slope (assumed frictionless) at a constant speed of 2 m/s?
b. What power must a motor have to perform this task?
Help would be greatly appreciated...
Homework Statement
A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One End of the rope is held by Student A of mass 80 kg, who is at rest on the floor. The opposite end ofthe rope is held by Student B of mass 70 kg, who is suspended at...
Homework Statement
Block A has a mass of 75 kg and is initially at rest on a frictionless inclined plane tilted at a 37 ° above the horizon. Block A is attached to a massless rope that is connected to the top of Block B by way of a massless frictionless pulley. Block B also has a mass of 75 kg...