1. use the parametric equations of a cycloid ( x=a(t-sint), and y=a(1-cost) ) to show that y=y(x) is the solution of the differential equation for any parameter a. Find the relationship between the radius a in the parametric equations and the constant C in y(1+y`2)=C.
2. Solve the equation...
Homework Statement
A thin tube, sealed at both ends, is 1.00 m long. It initially lies horizontally, with the middle 10.0 cm containing mercury, and the two ends containing air at standard atmospheric pressure:
See picture in attachment
If the tube is now turned to a vertical position...
If the determinant of a 3x3 matrix A is det(A)=5, and the matrix B is obtained from A by multiplying the first column by 8, then det(B)=?
I really haven't tried anything for this question; I'm not even sure where to start.
Homework Statement
A machine does work at a rate given by , P=ct^2 where c= 18 W/s^2 and t is time.
Find the work done by the machine between 9.0s and 18s .
Homework Equations
P=w/t
The Attempt at a Solution
no ideas
Homework Statement
A rain forest biologist is pulling a 50 kg crate of bananas at a constant rate from the ground to the canopy with a rope on a pulley. The distance that the crate has to go is 80 m. When the crate has traveled 40 m, a monkey with a mass of 50 kg jumps on to the top of the...
On a banked race track, the smallest circular path on which cars can move has a radius of 111 m, while the largest has a radius of 157 m, as the drawing illustrates. The height of the outer wall is 15.7 m. Find (a) the smallest and (b) the largest speed at which cars can move on this track...
Hi there, I need help with understanding this guy's solution thanks!
The kinetic friction force will be up the slide to oppose the motion.
We choose the positive direction in the direction of the acceleration.
From the force diagram for the child, we have ?F = ma:
x-component: mg sin...
Homework Statement
A 2450 kg car traveling to the west at 16.4 m/s slows down uniformly under a force of 8930 N to the east.
a) How much force would be required to cause the same acceleration on a car of mass 3170 kg? Answer in units of N.
Homework Equations
The Attempt at a...
Tipping something given its center of mass? My LAST homework problem!
Homework Statement
A rectangular block of mass 3.0 kg is at rest on a table. Its height (in its current position) is 0.7 m, but because its composition varies vertically, its center of mass is at a height of 0.40 meters...
Homework Statement
A 1170 resistor, a 1.46 μF capacitor, and
a 2.7 H inductor are connected in series across
a 350 Hz AC source for which the maximum
voltage is 230 V.
Calculate the impedance of the circuit.
Homework Equations
Z=sqrt(R^2+(XL-XC)^20
XL=2*pi*f*L
XC=1 /...
Homework Statement
13) A large metallic sphere insulated from ground is charged
with an electrostatic generator while a student standing on
an insulating stool holds the sphere. Why is it safe to do
this? Why would it not be safe for another person to touch
the sphere after it had been...
This question, I have absolutely no idea what to do.
Question: Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of 45 degrees with the vertical, steps off his tree limb, and swings down and then up to Jane's open arms. When...
A 215-g sample of a substance is heated to 330°C and then plunged into a 105-g aluminum calorimeter cup containing 165 g of water and a 17-g glass thermometer at 12.5°C. The final temperature is 35.0°C. What is the specific heat of the substance? (Assume no water boils away.)
Please, can...
Homework Statement
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.00m/2 at an angle if 20 degrees below the horizontal. It strikes the ground 3s later.
(a) How far horizontally from the base of the building does the ball strike the...
Hi..guys i have question again i guess you gone help me out here is the question
1. A bullet of mass 0.0016 kg moving at 535m/s impacts a large fixed block of wood and travel 5.9 cm before coming to rest.
Assuming that the acceleration of the bullet is constant ,find the force exerted by...
Hello!
I need to solve this problem
proof that sum of kinetic and potentional energy in every part of pendulums(every dot of pendulums swing) swing is equal...
Sorry for bad eanglish
Homework Statement
I can't seem to understand the steps in solving these types of problems (projectile Motion), and I would like help because I have my first test on Tuesday.
A ballplayer standing at homeplate hits a baseball that is caught by another player at the same height above the...
Homework Statement
The Attempt at a Solution
I don't know how to choose u. I presume we look in 2D; I thought u should look something like:
u = \left[ \begin{array}{c} \psi \\ \psi \end{array} \right]
and c= \phi but that isn't correct.
A 1000m long and 200m wide (when at rest) spaceship equipped with a chronometer is sent on a roundtrip
to their Galactic Base, 8 light years away.
(a) Astronauts start the trip after celebrating their captains 29th birthday and they want to make a round
trip and return to Earth on the eve of...
Homework Statement
Two shooters aim in same target at same time and then the first shooter shots in 70% of the shooting session, and the second is missing in the 60% of the shooting sesion.
A. The probability to miss the first shooter is: ______________
B. The probability the target to...
Homework Statement
\alpha = 37, m1 = 10 kg
Also attachment.
Homework Equations
The Attempt at a Solution
ok, the first question is to find m2 when the system is in rest and the second one is to find the acceleration when m1 = m2.
I found 3 equations:
n1 = m1 * g * cos(\alpha...
Homework Statement
A particle of charge 5.03 nC is placed at the origin of an
xy-coordinate system
A second particle of charge -2.00 nC is placed on the positive x-axis at x = 4.04 cm.
A third particle, of charge 6.01 nC is now placed at the point x = 4.04 cm, y = 3.00 cm.
Find...
Homework Statement
A prescription for a corrective lens calls for +1.50 diopters. The lensmaker grinds the lens from a "blank" with n = 1.46 and a preformed convex front surface of radius of curvature of 19.0 cm. What should be the radius of curvature of the other surface?
Homework...
A raft is constructed of wood having a density of 600.0 kg/m3. The area of its top surface is 5.7 m2, and its volume is 0.50 m3. When the raft is placed in fresh water having a density of 1.0x10^3 kg/m3, how much of it is below water level?
What is the upward acceleration of a helium filled...
Homework Statement
The Warren County Telephone Company claims in its annual report that “the typical customer spends $60 per month on local and long distance service.” A sample of 12 subscribers revealed the following amounts spent last month.
$64 $66 $64 $66 $59 $62 $67 $61 $64 $58 $54...
A 3.30 kg block starts from rest at the top of a 30.0° incline and slides 2.60 m down the incline in 1.50 s.
(a) Find the acceleration of the block.
4.9 m/s2
(b) Find the coefficient of kinetic friction between the block and the incline.
(c) Find the frictional force acting on the block...
I attached just one question...My tutor and the TA could not figure it out or help me get started on it...can someone help me get started? Thank you so much!
Homework Statement
I'm on the last section of identities entitled half angle identities. This one seems to give me some trouble because I have never encountered one with a horizontal shift in it. Tips?
tan 1/2( ß + π/2 ) = ( 1 + sin ß ) / cos ß
For which value of k does the matrix
A=
|4 k|
|-7 -5|
have one real eigenvalue of multiplicity 2? The Attempt at a Solution
- I tried by setting this problem up with det(A-(lambda)I) and trying to solve like that, but I can't seem to get it that way either. I am getting...
Homework Statement
a.) a box slides down a 30 degree ramp with an acceleration of 1.20 m/s^2. Determine the kinetic friction between the box and the ramp.
Homework Equations
The Attempt at a Solution
the equation is uk=Fk/Fn but they did not provide me with atleast one force or...
Homework Statement
I'd like hints as to how to solve this problem. Thanks!
\lim_{x\rightarrow{\inf}}{\frac{x^2-4}{2+x-4x^2}}
Homework Equations
I think I would begin by dividing out the fraction to get rid of the x^2? Is this the right way to start?
The Attempt at a Solution
Homework Statement
You adjust your garden hose nozzle for a hard stream of water. You point the nozzle vertically upward at a height of 1.5m above the ground. When you quickly move the nozzle away from the vertical, you hear the water striking the ground next to you for 2.0 s. What is the...
I have this problem on a web assignment due on the 20th of this month. A few of the problems have completely blown my mind including the following:
A force F0 causes an acceleration of 18 m/s2 when it acts on an object of mass m sliding on a frictionless surface. Find the magnitude of the...
Homework Statement
I have this equation:
integrate: dN/(4-2N)
Homework Equations
The Attempt at a Solution
I am understanding that the dN part just goes away and comes one on the top of the fraction. Then on the bottom, I am still left with 4-2N. I am simply saying that it is...
Hi,
Homework Statement
Find every angle θ between 0 and 360° for which the ratio of sin θ to cos θ is -3.00. (Round your answer to the nearest degree.)
Homework Equations
The Attempt at a Solution
I used the unit circle and took the x value divided by the y value and none of...
Homework Statement
y^2 - 2y = x^3 + 2x^2 + 2x + 3
Homework Equations
The Attempt at a Solution
Solve for y
How do you solve for y? my book says since that equation is quadratic in y, it can be solved as y = 1 +- sqrt(x^3 + 2x^2 + 2x + 4) but I have no idea how to do that...
Homework Statement
A person jogs eight complete laps around a 400m track in a total time of 13.5 minutes. Calculate, in m/s the average velocity.
Homework Equations
The Attempt at a Solution
I thought that I knew how to do this, but I think I just figured out the average...
In a semiclassical model of the hydrogen atom, the electron orbits the proton at a distance of 0.053nm.
What is the electric potential of the proton at the position of the electron?
What is the electron's potential energy?
(do i use the area on a circle in this equation? or is...
[SOLVED] Friction Problem
Homework Statement
A bicyclist can coast down a 5° hill at a constant 8.0 km/h. Assume the force of friction (air resistance) is proportional to the speed v so that Ffr = cv.
(a) Calculate the value of the constant c.
________ kg/s
(b) What is the...
(a) A swimming pool has dimensions 28.0 m 12.0 m and a flat bottom. When the pool is filled to a depth of 1.90 m with fresh water, what is the force caused by the water on the bottom?
(b) What is the force on each end? (The ends are 12.0 m.)
(c) What is the force on each side? (The sides are...
Homework Statement
Prove that for any n, sqrt n + sqrt (n+1) is irrational.
Homework Equations
The Attempt at a Solution
Well, I know that sqrt 2 + sqrt 3 is irrational. How about sqrt n + sqrt (n+1)?
Let sqrt n + sqrt (n+1) be rational.
[sqrt n + sqrt (n+1)]^2 = (m^2/n^2)...
This is really not a homework question. I'm learning thermal physics by Schroeder (2000) myself.
I'm stuck at Problem 5.17 page 160.
I can get Part (a) but Part (b), subtracting off the work that would be required even if the specimen were not present. I subtracted the work...
Homework Statement
please see attached picture.
Homework Equations
a(sub b)=a (sub a) + a (sub b/a)n + a (sub b/a)t
a (sub b/a)n=0 b/c originally at rest
a(sub b)=r(sub b)*alpha(b)
therefore:
r(sub b)*alpha(b)=a(sub a to the right) + 6*alpha(sub ab to 45 degrees, right up)
x...
Homework Statement
The function y(x, t) = (15.0 cm) cos(\pix - 12\pit), with x in meters and t in seconds, describes a wave on a taut string. What is the transverse speed for a point on the string at an instant when that point has the displacement y = 12.0 cm?
Homework Equations
I know...
i was wondering if anyone could help me with this problem i got for homework. I'm not completely sure where to start with this, so any advice is appreciated. the closest problem I've done with this is just finding the angular velocities and accelerations of the other rods, and i don't know if...
[SOLVED] Homework Problem about the Work-Energy Theorem
Please help! This is my first year of taking physics and I am really confused...
A puck on a shuffleboard decreases in speed from 1.0 m/s to .20 m/s while traveling 4.0 m. What is the coeffecient of kinetic friction between the puck and...
Homework Statement
A printed page is to contain 60cm^2 of printed material with clear margins of 5 cm on each and 3 cm on the top and bottom. Find the minimum total area of the page.
Homework Equations
The Attempt at a Solution
I know how to work these questions but am having...