Tom purchased a 40lb. bag of dog food. Knowing that there are 16 ounces in a pound, how many ounces of dog food are in the bag?
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Given the mass is m =16kg, and 1N force will stretch the spring 1 m.
That is, F =1N,Z =1m. Now find the spring constant k:
F = kL = 1 = k(1) = k= 1N/m.
The damping force is 8times the instantaneous velocity, this means β = 8,
and the external force is f(t) = 0
Initially the object compressed 0.6m above equilibrium position,
with the downward velocity is 2m/s.
The differential equation for a spring mass system with
damping force and extemal force is: mx" + βxt + kx = f(t).
so, 16x"+ 8x' + x= 0, x(0} = -0.6, x'(0)= 2m/s.
Now solve the DE:
The auxilary equation for the homogeneous equation is 16x"+8x'+x=0
solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.
Then the general solution for the homogenous system is: .
Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:
.
Hence, .
9514 1404 393
Answer:
slope = 2
Step-by-step explanation:
See the attachment for the markup.
It is usually convenient to choose places where the graph crosses grid intersections. Here, the graph crosses the x- and y-axes at integer values, so those points could be used, for example. We chose points away from the axes so that the rise and run lines could be seen more easily.
The graph has a rise/run of ...
slope = rise/run = 2/1 = 2
The slope of the line is 2.
