Consider a frictionless track ABC as shown in Figure P8.23. A block of mass m1 = 8.00 kg is released from A. It makes a head-on elastic collision at B with a block having a mass of m2 = 14.0 kg that is initially at rest. Calculate the maximum height to which m1 rises after the collision...
Homework Statement
A daredevil on a motorcycle leaves the end of a ramp with a speed of 39.5 m/s as in Figure P5.23. If his speed is 38.0 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance.
Homework Equations
Eo =...
A car can negotiate an unbanked curve safely at a certain max speed when the coefficient of static friction between the tires and the ground is 0.88. At what angle should the same curve be banked for the car to negotiate the curve safely at the same maximum speed without relying on friction...
an object is thrown upwards, at the top of the path it has
a) zero acceleration
b) maximum momentum
c) maximum kE
d) is at equillibrium
e)none of the above
i know accelarion is 9.8m/s^2
i also know is not KE since at the top is potential
im confused of the other two
Homework Statement
A car in a roller coaster moves along a track that consists of a sequence of ups and downs. Let the x-axis be parallel to the ground and the positive y-axis point upward. In the time interval from t=0 to t=4 s, the trajectory of the car along a certain section of the...
Homework Statement
A 710kg boulder is raised from a quarry 191m deep by a long uniform chain having a mass of 595kg. This chain is of uniform strength, but at any point it can support a maximum tension no greater than 2.80 times its weight without breaking.
How do i find the maximum...
Homework Statement
If a salmon swims straight upward in the water fast enough to break through the surface at a speed of 2.5 meters per second, how high can it jump above water?
Homework Equations
i don't know, because all i know is speed.
The Attempt at a Solution
is...
Homework Statement
A car enters a turn whose radius is R. The road is banked at angle Theta, and the friction coefficient is mu. Find the max and min speeds for the car to stay on the road without skidding sideways.
Homework Equations
W = mg
N = -W
Friction force = f = muN
Centripetal...
We're producing high quality steel castings which are then hot dip galvanized, so the surface has a layer of zinc in addition to the steel.
We need to cast some basic branding and size details into the product, with a slightly raised embossing, and I can't get any sensible info from anyone...
The max radius a fallling liquid drop can have without breaking apart is given by the equation:
R=√(σ/gρ) where the rho is density of liquid (1000kg/m^3), and the surface tension is
.7275J/m^2. g is gravity
I am asked to determine the max radius of a drop in units of cm at 20...
Ok I've been trying to do a problem and I can't seem to get it.
A rocket is launched from the origin with an acceleration of 20m/s^2 at an angle of 30.0 degrees above the horizontal. The launch acceleration lasts for 2.00 seconds at which time the fuel is exhausted. The rocket then falls with...
Figures that the only problem I have trouble with is the one the book considers to be "easy":
Homework Statement
The speed of a projectile when it reaches its maximum height is one half its speed when it is at half its maximum height. What is the initial projection angle of the projectile...
Homework Statement
A ball is thrown straight upward and returns
to the thrower’s hand after 4 s in the air. A
second ball is thrown at an angle of 67◦ with
the horizontal.
The acceleration of gravity is 9.8 m/s2 .
At what speed must the second ball be
thrown so that it reaches the same...
Hello, I got the following problem;
Find the min and max of the following function, on the following interval;
f(x) = x^3 - 6x^2 + 9x + 15, [0, 5]
Ok, to my knowledge, what I need to do is
I: Find the first derivative and equal it to zero, so;
f'(x) = 3x^2 - 12x + 9
0 = 3x^2 -...
Lagrange mult. ---finding max
Homework Statement [/b]
probability mass function is given by
p(x1,...,xk; n, p1,... pk) := log (n!/x1!...xk!) p1^x1 p2^xk
Here, n is a fixed strictly positive integer, xi E Z+ for 1 < i < k, \Sigma xi=n, 0 <pi <1, and \Sigma pi=1
The maximum...
how can i get greater performance from an standard inverter duty motor( marathon black max). I am in the process of buiding an inverter/controller to use as part of an EV conversion.
1. Derive an expression for the vertical deflection v of the beam of figure Q1
b) if E=200GPa and I= 750*10^-6 m^4, find the position and magnitude of the maximum upwards vertical deflection.
http://photos-d.ak.facebook.com/photos-ak-snc1/v319/114/101/695150024/n695150024_1209371_3981.jpg...
A certain freely falling object requires 1.5s to travel the last 30.0 m before it hits the ground. from what height above the ground did it fall?
The answer is 32.8 m but i don't no how to get it. please help
Imagine a hollow sphere made of perfect material.
Its walls are perfectly resistant to any thermal and mechanical stress and they can't be distorted.Suppose the interior of the sphere is completely filled with water.The whole system is at room temperature and standard atmospheric pressure.
If...
Homework Statement
A projectile is launched with an inital velocity of 30 m/s so that it covers a horizontal range of 45m. Determine the maximum height reached by the projectile. (There are two answers)
I know the answers are 2.96m and 43.0m. but I only know how to find the first. :(...
Homework Statement
1. Homework Statement
A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now sometimes used to fling pumpkins and pianos. A simple trebuchet is shown in Figure P8.77. Model it as a stiff rod of negligible mass 3.00 m long and...
given the cutoff potential (0.25 V) and wavelength (578 nm), how do i find the maximum kinetic energy of the electrons ejected from photoelectrif surface, in both eV and J?
my guess is,
KE = e Vo
= (1.6 x 10-19) x (0.25 V)
= 4.0 x 10-20 J
but if i convert that to eV, i get the same...
Homework Statement
A Rocket is initially at rest on the ground. The rocket flies off in a straight line at an angle 53.1 degrees above the horizontal with a constant acceleration of magnitude \textbf{g}. The engines stop at a time \textbf{T} after launch, after which the rocket is in...
Homework Statement
In a television set, electrons are accelerated from rest through a potential difference of 23 kV. The electrons then pass through a 0.29 T magnetic field that deflects them to the appropriate spot on the screen. Find the magnitude of the maximum magnetic force that an...
Homework Statement
An LR circuit consists of an inductor with L = 2.3 × 10-4 H and a resistor with R = 1.10 Ω connected in series to an oscillating source of emf. This source generates a voltage
ε = εmaxsin( ωt)
with εmax = 0.80 V and ω = 6.00 × 104 rad/s. What is the maximum current in...
Customer of mine is wanting me to confirm that a hydraulic fitting I am selling him will withstand 800F. The fitting is a standard issue hydraulic fitting (#12 BPP Female Coupling) that will be welded to 6" SHD 80 pipe. The pipe is on the exhaust side of a diesel engine onboard a cruise ship...
does anyone know how the formula for calculating max deflection was derived? The formula is (Force x Length^3)/(48 x E x I). I think it was through intergration but if anyone knows more could you please let me know? thanks! :)
Homework Statement
http://img126.imageshack.us/img126/6400/picex8.jpg"
Determine the maximum power that can be delievered to the varaible resistor R in the circuit of Fig 4.139.
Homework Equations
The Attempt at a Solution
I am not sure how to handle this because the...
I realize that this has been experimentally confirmed in any number of ways, based on the external application of energy to a particle. I have read articles on this subject, ranging from the magazine variety to texts by famous physicists, over the last 40 years.
My question relates to the...
Homework Statement
a) Graph y = -x^5 +5x -6. Include coordinates of local max, min, and points of inflection. Indicate the behavior as x-> -infinity, x -> infinity.
b) Find in slope-intercept form the equation of the tangent line to the curve at x = 2.
Homework Equations
The Attempt at a...
The basic point to this is to show that, no matter how fast an object is thrown up (assuming that g is relatively constant), that there is a maximum time it will take to reach its highest point (v=0), more interesting however is that exact number which strangely involves pi...
Suppose the designated speed for the ramp is to be 13.2 m/s (29.5 mi/h) and the radius of the curve is 34 m.
The coefficient of static friction between the tires and the road is 0.33. What maximum speed could a car negotiate the exit ramp without skidding?
Vmax = square root of...
[SOLVED] Heat Problem
The question is:
The only equations known are Q=mcΔT, and Q=ml
Where Q= energy in joules. m=mass in kg, c= specific heat capacity [to 3 decimal places], ΔT= the change in temperature in either kelvin or Celsius, l= latent heat [also to 3 decimal places]
However I...
Max Power for Fiber Connectors??
Does anyone know the maximum peak or average power for FC/APC fiber optic connectors?
My system is constantly burning the cores of these connectors.
I have a maximum of 600mW (average) and 1KW (peak) passing through these connectors.
Homework Statement
A 2.8k-ohm and a 2.1k-ohm ersistor are connected in parallel; this combination is connected in series with a 1.8k-ohm resistor. If each resistor is rated at .5W, what is the maximum voltage that can be applied across the whole network?
Homework Equations
Ohm's Law...
Homework Statement
A 2.5 m long string that has a mass of 0.10 kg is fixed at both ends and is under a tension 30 N. (c) Determine the maximum speed of a point on the middle of the string. Homework Equations
2 sinusoidal waves having same amplitude, frequency and wavelength / superposition...
[SOLVED] Local Max & Min problem
I'm having a real tough time finishing this problem. I have to find the local maxima and minima points for g(x).
g(x) = 1 + 4x - 10x^2 + x^4
(dy/dx) = 4 - 20x + 4x^3
I've been trying to factor it to get the max and min points, but I find it...
Homework Statement
Two bodies move in a straight line towards each other at initial velocities v1 and v2 and with constant retardation a1 and a2 respectively at the initial instant. What is the max initial separation between the bodies for which they will meet during the motion?
(sqr ->...
Homework Statement
If the coefficient of friction between an insect and bowl surface is u (mu) and the radius of bowl is r, what is the max height upto which the insect can crawl in the bowl?
a) r/root(1 + u2)
b) r [ 1 - 1/root(1 + u2)]
c) r [root(1 + u2)]
d)r [ root(1 + u2) -1 ]...
Homework Statement
Three 100 resistors are connected as shown in the figure. The maximum power that can safely be delivered to anyone resistor is 28.0 W.
"http://imageshack.us
Homework Equations
P = VI
The Attempt at a Solution
I found the total resistance of the circuit, but i don't...
!Shear Diagram!
Homework Statement
I have posted the problem below. I am looking to find P max. My professor wants us to draw a shear diagram to find out where it will occur.
From equilibrium equations I have found that Ay=By=P+0.6 kip
I am having trouble drawing the diagram. I...
Homework Statement
Find the Maximum and Minimum of the following equation.
r=2-2cos(\Theta)
The Attempt at a Solution
Max- 2-2 cos (0\pi)=0
(0,0\pi);(0,2\pi)
Min 2-2cos(\pi)=4
(4,\pi)
Do i just have these backwards?
Homework Statement
find max height of a projectile traveling at 40 m/s 60 degrees from the horizontal using conservation of energy
Homework Equations
KEi + PEi = KEf + PEf?
The Attempt at a Solution
couldnt attempt. (I know I can't be given the answer, but even just the proper...
Hi
Suppose X_{1}, \ldots, X_{n} is a sequence of i.i.d. random variables. We define
X_{(n)} = max(X_{1}, \ldots, X_{n})
X_{(1)} = min(X_{1}, \ldots, X_{n})
Are X_{(n)} and X_{(1)} independent?
Whats the best/easiest way to verify this?
Thanks
Vivek
For a light 5m beam carrying a central
point load of 20 kN, calculate:
a) the maximum shear force (iv got that)
b) " " bending moment
im stuck on the bending moment, i can't remember how to work it out.
Homework Statement
The 70N force acts on the end of the pipe at B. determine the angles theta between 0 and 180 of the force that will produce maximum and minimum moments about point A.
Homework Equations
FBD is attached.
The Attempt at a Solution
I made the following equation...