Homework Statement
Consider the function F(xyz)=x^4+5y^4+2yz+3. Let the uncertainty in x be represented by the variable dx, the uncertainty in y be represented by the variable dy, and the uncertainty in z be represented by the variable dz.
Find an algebraic expression for the uncertainty in...
Homework Statement
The sound intensity level of a certain sound source is measured by two listeners located at different positions along a line from the source. The listeners are located on the same side of the source and are separated by 34.8 m. The listener that is closest to the source...
Cool, thank you. The potential energy from gravity is dependent on the height. Which in this problem is kind of what I'm looking for because if I can find the height I would know the total displacement of the block up the ramp.
Homework Statement
A block of mass 2.96 kg is sliding up a ramp with an initial speed of 12.8 m/s. The ramp is inclined from the horizontal at an angle of 36.4 degrees and the coefficient of kinetic friction is \mu=045. What is the displacement of the block along the ramp from the initial time...
Homework Statement
Find Δx
Given:
Fxe-(t/T)
v0=-41.2 m/s
tf=84.54 s
T=46 s
Fx=13.4 N
m=8.8 kg
Homework Equations
F=ma
The Attempt at a Solution
a=Fxe-(t/T)/m
dv/dt=Fxe-(t/T)/m
*integrate both sides*
v=[(-T)Fx)/m]e-(t/T)+v0
dx/dt=[(-T)Fx/m]e-(t/T)+v0
*take the...
Homework Statement
One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r)=U0[(r0/r)13-(r0/r)9] where r0=0.85nm and U0=6.2eV. What is the distance between the atoms when the molecule is in stable equilibrium?
Homework...
Homework Statement
A massless spring is hanging vertically. With no load on the spring, it has a length of 0.22 m. When a mass of 0.68 kg is hung on it, the equilibrium length is 0.75 m. At t=0, the mass (which is at the equilibrium point) is given a velocity of 4.88 m/s downward.
At...
Homework Statement
You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=676 kgm2 as shown. The tension in the rope that you are pulling is 477.9 N. A pack of mass 30.8 kg is attached to the pulley's inner radius as shown. If the inner radius of the...
Homework Statement
Calculate the work against gravity required to build a structure out of brick. The structure has a square base with 10ft sides and is 20ft high. The density of brick is around 80lb/ft^3
Homework Equations
W=∫F*d
The Attempt at a Solution
First I found the...
Homework Statement
Answer the following questions for a mass that is hanging on a spring and oscillating up and down with simple harmonic motion. Note: the oscillation is small enough that the spring stays stretched beyond its rest length the entire time.
Answers available: Top, Equilibrium...