Homework Statement
The attempt at a solution
I used the concept of relative motion analysis for velocity:
VB = VA + VB/A
(4) = (-2) + ω(3)
ω = 2 rad/s (CCW)
Is this correct?
Suppose we have two ships A and B in uniform motion according to each other(A claims B to in motion and B claims A to be in motion).
Let each one of the objects have a roll of rope on it (let us call the ropes a-> for A's rope and b-> for B's rope).
Now when the ships were initially close to...
Homework Statement
A man on a moving train throws a ball at a parked car. Find velocity of the ball when it hits the car if:
train is moving 21 m/s North East;
the man is walking 3.0 m/s [E35S] (relative to train)
ball is thrown 10.0 m/s [W22S] (relative to man)
Homework Equations
VBG...
Homework Statement
A plane has an airspeed of 200 mph. The pilot wishes to reach a destination 600 mi due east, but a wind is blowing at 10.0 mph in the direction 10.0 degrees north of east.
In what direction must the pilot head the plane in order to reach her destination?
______________...
Relative Motion: moving sidewalk!
Homework Statement
An airport terminal has a moving sidewalk to speed passengers through a long corridor. Larry does not use the moving sidewalk; he takes 140 s to walk through the corridor. Curly, who simply stands on the moving sidewalk, covers the same...
Relative Motion-- Airplane vs radar station and tracking the displacement
In Figure 4-49, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d1 = 340 m from the station and at angle θ1 = 34° above the horizon. The airplane...
Homework Statement
A boy is standing on a long railroad car throws a ball straight upwards.The car is moving on a horizontal road with an accelaration of 1m/s^2. and the projection velocity is 9.8m/s.How far behind the boy will the ball fall on the car.
Homework Equations
Not entirely sure...
This is not a homework question. I know the answer to this question I'm just not sure how, from reading the question, I would have known what the question is actually asking. If someone could explain what their thought process is after reading the question, and how it is that you know what the...
Homework Statement
Conveyor belt A, which forms a 20° angle with the horizontal, moves at a constant speed of 4 ft/s and is used to load an airplane. Knowing that a worker tosses duffel bag B with an initial velocity of 2.5 ft/s at an angle of 30° with the horizontal, determine the velocity of...
[PLAIN]http://img811.imageshack.us/img811/4435/relativemotion.jpg
I'm having trouble on figuring out on how to go about this one.
I know that I have to use the kinematic equations for each dimensions, find time, and set the x components equal to each other, but the relative velocity of...
Homework Statement
At noon, ship A is 150 km west of ship B. Ship A is sailing east
at 35 km
h and ship B is sailing north at 25 km
h. How fast is
the distance between the ships changing at 4:00 P.M.?
Homework Equations
The Attempt at a Solution
I did it using geometry and...
Homework Statement
The bar AB is rotating with an angular velocity w=10rad/s. Determine the velocity of the piston C at the instant θ = 45. Provide the vector solution and the solution with the instantaneous center of zero velocity
Homework Equations
Vb = Va + w x r(b/a)
Vc = Vb + w x...
This is a practice question.
If somebody could help me with this practice question, I'd really appreciate it.
Two friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating due south. Neil is in front of her and to her left. With respect to the ground...
Homework Statement
I am given the location of 3 points in space:
Z1= 3+3i
Z2= 7+5i
Z3= 5+5i
and the velocity of two points:
V_1= 8+0i
V_2= 7+6i
How do I find V3?
Homework Equations
V_1/2= V_1-V_2
V_3= V1+V_3/1
V_2/1= V_2-V_1
The Attempt at a Solution
I have the...
Relative Motion prob, please help
Homework Statement
A pilot of an plane has to get to a point 320 km due North in 1 hour. Ground Control reports inform that there is a cross wind of 80 km/h towards 37o South of West. What is the required heading pf the plane?
Homework Equations
VPE =...
Relative motion prob, please help
Homework Statement
A man walk at a rate of 2 km/h; A rain appears to fall vertically. when he doubled his speed it appears to fall at 30o vertical. Find the real speed of the rain.
Homework Equations
The Attempt at a Solution
Help me to do this...
A swimmer can swim at 2.0 m/s in still water. She attempts to swim due north across a river flowing eastward at 1.5 m/s.
a) What is her velocity relative to the ground?
b) Suppose she wants to arrive directly across from her starting point. In what direction must she head? What will be her...
Homework Statement
a man walks 600m [E47 degree N] then 500m [N38 degree W] then 300m [W29degree S] and finnally 400m [S13degree E]
Homework Equations
find this resultant displacement.
The Attempt at a Solution
my problem is .. [E47 degree N] ... does that mean i must put the...
Two ships, A and B, leave port at the same time. Ship A travels northwest at 19 knots and ship B travels at 28 knots in a direction 40° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.)
(a) What is the magnitude the velocity of ship A relative to B?
35.181 knots
(b) What...
Homework Statement
Ship A is located 4.8 km north and 3.0 km east of ship B. Ship A has a velocity of 22 km/h toward the south and ship B has a velocity of 40 km/h in a direction 37° north of east.
(a) What is the velocity of A relative to B (Express your answer in terms of the unit vectors i...
Homework Statement
A cart moves with velocity vC = 10 m/s in the horizontal direction as shown below.
[PLAIN]https://online-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys100/fall10/hwb/04/01/cart.gif
A ball is ejected from the cart with an initial velocity vB...
Homework Statement
A wooden boxcar is moving along a straight railroad track at speed v1. A sniper fires a bullet (initial speed v2) at it from a high powered rifle. The bullet passes thought both lengthwise walls of the car, its entrance and exit holes being exactly opposite each other as...
I have posted the problem and and the solution of part a,b,c in file 1.doc. This is problem
from ch. 4 of serway. It doesn't yet assume calculus. I have question about the part c.
I did it using calculus. but the book's solution uses the kind of arguments which i am not able to understand. Is...
Homework Statement
Belt A conveys sand with a velocity of 6.0 ft/s (constant). The velocity of belt B is 8 ft/s (constant). Determine the velocity of the sand relative to B as it lands on belt B. Answer: VS/B=20.1 ft/s at 85.1 degrees
Homework Equations
VS/B = VS-VB
(Velocity of...
Homework Statement
Block A starts moving downward to the left at a constant acceleration = 80mm/s2. At the same time block B moves along block A to the right at an acceleration of 120mm/s2 relative to block A.
a) Determine the acceleration of block B. Answer: aB=52.5m/s2
b) Determine the...
Homework Statement
An elevator is moving upward at a constant speed of 2.50 {\rm{ m/s}}. A bolt in the elevator ceiling 3.00 {\rm m} above the elevator floor works loose and falls.
(Part C) What is the speed of the bolt according to an observer standing on one of the floor landings of the...
I'm watching a lecture video describing the following situation:
There is a red ball and a green ball on a collision course. The green ball moves with a constant velocity 6 m/s due East, while the red ball moves with a constant velocity 2 m/s due west.
They are saying that the velocity of...
Homework Statement
Hello. I was wondering if you guys could help me tell me why i am getting this problem wrong.
Two airplanes taxi as they approach the terminal. Plane 1 taxies with a speed of 12.1 m/s due north. Plane 2 taxies with a speed of 6.3 m/s in a direction 21.2° north of west...
Homework Statement
confession Olympic hammer competition, competitor turns mass 7.3 kg ball at the end of a metal cable length 1.2 meters. Throw the hammer was released some 1.3 meters high 21 ° angle above horizon.
Last horizontal distance was 83 m hammer, what is the radial acceleration of...
This is not homework. I am reviewing all of the calculus that I have forgotten.
Howard Anton's Calculus w/Analytical Geometry, 5th ed., section 4.1, prob #32:
A police helicopter is flying due north at 100km/hr and at a constant altitude of 1/2mi. Below, a car is traveling west on a...
Homework Statement
Two ships, one moving 15 degree west of north with a speed 25 mi/h., the second moving 25 degree south of west with a speed 20 mi/h. relative to water pass each other. Find the velocity of the second ship relative to the first ship (magnitude and direction).
Homework...
Homework Statement
An escalator is 20.0m long. If a person stands on the escalator, it takes 50.0s to ride from bottom to the top.
a) if a person walks up the moving escalator with a speed of 0.500 m/s relative to the escalator how long does it take for the person to get to the top...
Homework Statement
Quarterback Fred is going to throw a pass to tight end Doug. Doug is 20 m in front of Fred and running straight away at 6.0 m/s when Fred throws the 500 g football at a 40 angle. Doug catches the ball without having to alter his speed and runs for the game-winning pass...
I have always been confused by SR and GR in terms of what each observer observes of their
own frame of reference.
e.g. Does an observer moving at a high v/c measure length contraction in their onw F of R? I assume not since all apparatus would be similarly contracted.
Nor do they measure...
1. A cameraman on a pickup truck is traveling westward at 19 km/h while he videotapes a cheetah that is moving westward 38 km/h faster than the truck. Suddenly, the cheetah stops, turns, and then run at 50 km/h eastward, as measured by a suddenly nervous crew member who stands alongside the...
Please help. I am starting to think the answer in the back of my book is wrong. Refer to picture below. Question: Find the speed of the elevator if the winches A and B both pull the rope at 5 m/s. Answer is 2.14m/s. How? I have no idea. I am not the kind to just give up.
Thank you...
Homework Statement
Two arrows are fired straight up. The first is at 40 m/s and the second at 60 m/s and 3 seconds after arrow one. At what hieght will the arrows meet in the air.
Homework Equations
?
s=ut+1/2 at^2
The Attempt at a Solution
s1=s2
t2=t1+3...
Homework Statement
A passenger walks from one side of a ferry to the other as it approaches a dock. If the passenger's velocity is 1.90 m/s due north relative to the ferry, and 4.5 m/s at an angle of 33.0° west of north relative to the water, what are the direction and magnitude of the ferry's...
So, for example, 2 objects are moving towards each other.
There is a frame where 2 object move with (for the sake of simplicity thy both move with the same velocity) the velocity V
Then there is a frame where one of the object stand still, but the other moves towards it with the velocity 2V...
Homework Statement
The navigator of an airplane plans a flight from one airport to another 1200km away, in a direction 30 degrees east of north. The weather office informs him of a prevailing wind from the west, of 80km/h. The pilot wants to maintain an air speed of 300km/h.
What heading...
I've been reading the threads in this forum about relative motion and time dilation and I would like to know if I am understanding things correctly.
The atomic clocks aboard the GPS satellites are programmed with a "factory offset" (according to Wikipedia) of +7us/day for relative motion and...
Homework Statement
http://www.lboro.ac.uk/faculty/eng/engtlsc/Eng_Mech/pastpapers/exam2001.pdf
Problem B6
Collar A slides along a horizontal rod that is rotating as shown in Figure Q.B6
with an angular velocity of 5 rad/s in the anti-clockwise direction. At a distance
of 200 mm from the...
Homework Statement
http://www.hdimage.org/images/bgkkpt63ckx96gu3xgh.jpg
Homework Equations
aA = aA/B + aB
VA = VA/B + VB
The Attempt at a Solution
After staring at this question for some time, I finally had a go and got an answer of 1.25 rad/s, which is incorrect. I am totally...
Homework Statement
http://www.hdimage.org/images/n5gdv4yrqp0wkl11ioae.jpg
Homework Equations
aA = aB + aA/B
The Attempt at a Solution
I have made a few attempts at this one, and I have gotten absolutely no where. All I have figured out is that the edge of the smaller circle will be...
Homework Statement
An airplane maintains a heading due west at an air speed of 900km/h. it is flying through a hurricane with winds of 300km/h, from the northeast.
a.in which direction is the plane movie relative to the ground
b.what is the planes ground speed?
c. how long would it take the...
1. How long will it take a plane to travel 100km [N] if its ground velocity is 796km/h [25 W of N]
I am having the hardest time with question since I actually don't know how to start. I know it require the fomula T= V*D. I manage to get a diagram but that is far as I gone. =(
Help? I...
Before I start studying the relativity theories, I have to grasp this concept:
Suppose two cars are moving with constant velocities in any direction and a ball is thrown straight up and comes back straight down. This will happen in both cars.
But what if a person in one car observes the...
Homework Statement
1. A boat takes 3 hours to travel 30 km down a river, then 5 hours to return. How fast is the river flowing?
2. Taking a moving sidewalk, without walking, takes 75 seconds to arrive at baggage claim. Walking, not on the moving sidewalk, takes 50 seconds. How long...
Homework Statement
A bolt drops from the ceiling of a train car that is accelerating northward at a rate of 3.50 m/s2.
(a) What is the acceleration of the bolt relative to the train car?
(b) What is the acceleration of the bolt relative to the Earth?
The Attempt at a Solution
(a)10.4...
I don't understand the physical meaning of one of my dimensions/variables.
Let there be a gravitational potential \phi (x_a), a=1,2,3.
Equation of motions of a freely falling particle is:
\frac{d^2 x_a}{d t} = - \frac{\partial \phi}{\partial x_a}.
If there are 2 particles falling, family of...