1. At a time when mining asteroids has become feasible, astronauts have connected a line between their 3500-kg space tug and a 6200-kg asteroid. Using their tug's engine, they pull on the asteroid with a force of 490 N. Initially the tug and the asteroid are at rest, 450 m apart. How much time...
Hello, I am currently working on a PCB design project,
just wondering if anybody knows how to reduce the size of the gap(the black circular region) around individual pin of IC Chips (after I have done the polygon pour)
so that a 0.5mm ground track can get through.
In addition, what is the...
Homework Statement
A runner runs with a constant speed around the track.
1. At which point is the runner's velocity the largest? Explain.
2. At which point is the runner's acceleration the largest? Explain
Homework Equations
The Attempt at a Solution
It seems to me...
Homework Statement A runner runs with a constant speed around the track.
a) at which of the points is the runner's velocity the largest? Explain.
b) at which point is the runner's acceleration the largest? Explain.Homework Equations
The Attempt at a Solution
I believe the runner has the...
Homework Statement
In the figure, a block of mass M slides without friction around the curved track. (a) If the block starts from rest at A, what is its speed at B? (b) What is the force of the track (the normal force) on the block at B?
See Figure 1
Homework Equations
Uf + Kf = Ui + Ki...
Homework Statement
A train enters a curved horizontal section of track at 100 km/hr and slows down with constant deceleration to 15 km/hr in 12 seconds. An accelerometer mounted inside the train measures a horizontal acceleration of 2 m/s^2 when the train is 6 seconds into the curve. Calculate...
Homework Statement
[edit]: In case anyone didn't get a clear picture, in a nutshell the experiment involves us releasing a glider down an air track within a fixed distance x, where the time, t taken is then recorded down. Sorry for not mentioning this before if it's of any use.
To determine...
Hello everyone,
This year I am going to Track One engineering at U of T. I chose Engineering Science, but I didn't get in. On some other forum I have found one person, who said that people can switch to EngSci after TrackOne if they have a very high average. On the U of T website it says that...
Homework Statement
A 0.280-kg block along a horizontal track has a speed of 1.30 m/s immediately before colliding with a light spring of force constant 43.6 N/m located at the end of the track. What is the spring's maximum compression if the track is frictionless?
The Attempt at a...
Homework Statement
A block of mass m slides without friction along the looped track shown in figure 6-39. If the block is to remain on the track, even at the top of the circle (whose radius is r), from what minimum height h must it be released. Next, if the actual release height is 2h...
Hi all,
My goal is to go to graduate school for mathematics (most likely enumerative combinatorics of graph theory). My math grades in college have been:
Calculus I/II - AP Credit so no "grade".
Calculus 3 - A+
Linear Algebra - A-
Proofs - A-
Combinatorial Theory - A
Elementary...
Homework Statement
A 0.20-kilogram mass is sliding on a horizontal, frictionless air track with a speed of 3.0 meters per second when it instantaneously hits and sticks to a 1.3-kilogram mass initially at rest on the track. The 1.3-kilogram mass is connected to one end of a massless spring...
I only did the first two (out of three) crosses because I want to check that I'm on the right track. It doesn't seem like I am because I have come up with 0i, 0j and I pretty much know I will come up with 0k
Homework Statement
A 0.147 glider is moving to the right on a frictionless, horizontal air track with a speed of 0.870 . It has a head-on collision with a 0.292 glider that is moving to the left with a speed of 2.20 . Suppose the collision is elastic. What is the magnitude of the final...
hi,
A teacher at school was demonstrating some of the properties of superconductors and that got me thinking if it would be possible to get a person to hover. I did a bit of research and it seems that not only is this possible but it's already been done. I saw some videos of small toy...
In experiments with nuclear emulsion (like CHORUS,OPERA...), the emulsion is scanned for tracks left by passing particles. In track analysis, there is a quantity called track momentum.
I don't know what the track momentum is, so if anyone could help me, i would be grateful.
Homework Statement
What is the effect of increasing the height of the track on the acceleration of the object?
Homework Equations
The Attempt at a Solution
The speed of the track was slower? is it correcT?thanks
Homework Statement
A block slides along an elevated track. The flat part has a length L = 0.2m and the object is released from rest from height h = 0.1m. The curved portion of the track is frictionless, but the flat part is rough with a friction coefficient μk = 0.15. Where does the object...
Homework Statement
A frictionless track contains a circular section of radius R as shown. What is the minimum height at which a block must be started in order for it to go around the loop without falling off the track?
Homework Equations
V = r*w
Fr = m*v^2/r = m*r*ω^2
The Attempt at...
Homework Statement
A 4.00 kg block carrying a charge Q=50.0 µC is connected to a spring for which k=100N/m (see diagram). The block lies on a frictionless horizontal track, and the system is immersed in a uniform electric field of magnitude E = 5.00x10^5 V/m, directed as shown. If the block...
Am i on the right track?
We have this problem for math class:
For an interval of 45 minutes, the tsunamis near Hawaii caused by the chilean earthquake of 1960 could be modeled by the equation y= 8 sin (pi/6)t, where y is in feet and t is in minutes.
a) find the amplitude and period of the...
Homework Statement
An object travels around a circular track with a given radius that is banked/inclined (inward) at a given angle. Find the ideal velocity for the object to travel around the track (so that it does not slide up or down but stays in the middle) with no friction or with a given...
Homework Statement
Car is driven on a banked circular racing track. Radius R, angle theta.
a) For what speed is the track designed (if there were no friction the car would not slide)
b) If the track is wet, u=0.15, what are the minimum and maximum speeds car must be driven so it stays on...
Homework Statement
An air-track glider of mass 0.109 kg is attached to the end of a horizontal air track by a spring with force constant 22.5 N/m
(a) With the air track turned off, the glider travels 8.8 cm before it stops instantaneously. How large would the coefficient of static...
Homework Statement
In a circular flat track of radius 50m, what is the maximum speed car can go without sliding? Assume the coefficient of static friction between the car tire and the road is 0.4.
Homework Equations
Unsure of what equations to use.
The Attempt at a Solution
Unsure...
Question:
One mole of an ideal gas with cv=2.5R, initially at 0.0degC, is heated at constant pressure. How much heat is needed to double its volume?
Solution:
Know:
n=1
T0=273.15K
cv=2.5R
\DeltaP=0
Vf=2V0
H=U +PV
and thus, Q= \DeltaH
Q=ncv\DeltaT
We can rearrange to find...
Homework Statement
a track is inclined in such way that the velocity of the metal ball is 60 cm/s at 25 degree below the horizontal. mathematically determine the total x displacement of the metal ball.
weight of ball: 65grams
height from floor to the end of the track: 76.15cm
velocity of the...
Homework Statement
A cyllinder of radius rc starts a height h above a loop the loop on a track. If the radius of the loop is rl, how high does h need to be. The cyllinder does not slip. Express the answer in terms of the radius of the loop.
Homework Equations
Conservation of energy...
Homework Statement
A small cube (m=0.450 kg) is at a height of 393 cm up a frictionless track which has a loop of radius, R = 58.95 cm at the bottom. The cube starts from rest and slides freely down the ramp and around the loop. Find the speed of the block when it is at the top of the loop...
Hey I was hoping some would be able to help me or show me how to calculate the amount of force a train exerts on a spot on a track.
Simply I could calculate the force exerted on a spot of the track as the weight of the train in kgs times the gravity (9.8m/s^2) will give me netwons of force...
Homework Statement
Tarzan (m=90kg) presses against a horizontal spring with spring constant k=81000N/m ( on a frictionless surface), compressing it by 100 cm. After loosing contact with the spring, Tarzan starts going down an 11.0 m high hill that is frictionless, and then starts to go up a...
Homework Statement
A block of mass m=1.3 kg slides down a frictionless track, as in the attachment diagram. The block is released at height h=4m. The radius of the curvature of the track at the bottom is R=1m. What is the force of the track on the block at A?
Homework Equations...
Homework Statement
An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t=0.00 s. It then oscillates with a period of 11.1 s and a maximum speed of 44.7 cm/s. What is the amplitude of the oscillation? (answer A= 7.90e-01 m)
What is the...
Homework Statement
A spring with constant 72500.0 N/m is compressed 54.6 cm and used to launch a 109.0 kg physics student. The student starts decending down a 13.4 m high track that is frictionless until the student starts up the incline again. The student's coefficient of kinetic friction...
a mass m is suspended on a string and the glider slides over to the right. the system is frictionless and I'm wondering how to find the acceleration of the system with the mass m as 5 gram, and the glider mass as 40gram
Homework Statement
Stan and Ollie are standing next to a train track. Stan puts his ear to the steel track to hear the train coming. He hears the sound of the train whistle through the track 3.1 s before Ollie hears it through the air. How far away is the train? (Use 5,790 m/s as the speed...
Since we seem to have a few professors and grad students on this forum, I was hoping to open a discussion on the current employment trends in math academia. It seems as is the road to tenure is incredibly difficult and it takes more than just writing a good thesis to get a job.
I am posting...
http://users.on.net/~rohanlal/roll.jpg
A roller-coaster car has a mass of 494 kg when fully loaded with passengers.
If the car has a speed of 12.5 m/s at point A, what is the force exerted by the track on the car at this point?
To solve this don't i need to determine what the downward...
Homework Statement
People put their ears to a railroad track to get an early warning of an approaching train. why did this work.
Homework Equations
written response.
The Attempt at a Solution
Sound waves can travel a long way along an undisturbed metal rod?
Homework Statement
A wire carries a current of 3 A in the downward direction. What is the magnetic field 2.0 cm away from the wire?
Homework Equations
∫B·dl = µ0I
The Attempt at a Solution
So I pick a circle with radius 2.0 cm to go around the wire, and get
B∫dl = µ0(3 A)
∫dl...
Homework Statement
A small solid marble of mass m and radius r will roll without slipping along the loop-the-loop track, shown below, if it is released from rest somewhere on the straight section of track. For the following answers use m for the mass, r for the radius of the marble, R for the...
using a puley for analysis on an air track?
I'm doing an experiment using an air track, and my school only has one photogate/lightgate. So I'm trying to figure out a way of using the pulley (not an actual pulley, one that is used with a data logger to record time and velocity) without it...
Hi everyone!
I try to build a device that can track 6 degree of freedom of itself but lacking a method provide enough accuracy. So I'm here asking you for help
The device's size needed to be about a cell phone or smaller
The accuracy needed to be enough for detect movement about 1/10 mm...
http://news.bbc.co.uk/1/hi/world/europe/7849600.stm
Speaking of those in power being arrogant, I think maybe the Vatican ought to look at their own agenda through the lens of those in poverty or afflicted with aids, instead of the gold gilded windows of the Vatican?
The list of what they...
I have to find the power series f(x)= 3 / (2 -5x).
I devided everything by 2 so I have (1/2) / (1 - 5x/2) = \sum ar^n
and then through some steps I have 15x^n / 2^n+1
and I on the right track? How do I find the interval of convergence?
I recently ran into something between two teachers. For the longest time one has been teaching that when a car is traveling in circular motion on a banked track with friction, only the horizontal component of the friction force is to be taken into account, by adding to the centripetal force...
Homework Statement
A frictionless track with a loop of radius 36 cm sits on a table 0.9 meters above the ground. If a 0.15 kg object just makes the loop, how high above the table did the object start and how far from the table does it land?
Homework Equations
The Attempt at a...
Homework Statement
roller coaster traverses a vertical circular track.
a)what speed must car have to make it over the top w/o leaving the track? assume it is not attached to track.
b)what will speed be at bottom?
c)what will normal force on passenger be at the bottom of loop if radius is...
Homework Statement
A block of mass 0.640 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the block travels along a frictionless, horizontal surface to point B, the bottom...