In Newtonian physics, free fall is any motion of a body where gravity is the only force acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it.
An object in the technical sense of the term "free fall" may not necessarily be falling down in the usual sense of the term. An object moving upwards might not normally be considered to be falling, but if it is subject to only the force of gravity, it is said to be in free fall. The Moon is thus in free fall around the Earth, though its orbital speed keeps it in very far orbit from the Earth's surface.
In a roughly uniform gravitational field, in the absence of any other forces, gravitation acts on each part of the body roughly equally. When there is no normal force exerted between a body (e.g. an astronaut in orbit) and its surrounding objects, it will result in the sensation of weightlessness, a condition that also occurs when the gravitational field is weak (such as when far away from any source of gravity).
The term "free fall" is often used more loosely than in the strict sense defined above. Thus, falling through an atmosphere without a deployed parachute, or lifting device, is also often referred to as free fall. The aerodynamic drag forces in such situations prevent them from producing full weightlessness, and thus a skydiver's "free fall" after reaching terminal velocity produces the sensation of the body's weight being supported on a cushion of air.
Alice and Bob are hovering at say 10Rs at opposite sides of the non-rotarting black hole. Bob drops charged body and it is free falling into black hole (again, at opposite side from Alice). They both measure the intensity of electromagnetc field. Initially, of course, intensity at Bobs location...
Homework Statement
Mass m1=34.3 kg is on a horizontal surface, connected to mass m2= 5.30 kg by a light string as shown. The pulley has negligible mass and no friction. A force of 201.7 N acts on m1 at an angle of 32.1o.
The coefficient of kinetic friction between m1 and the surface is...
I've been trying to find equations that model the effect on water of something falling onto it (a pebble for example), without much success. Do you know them or where I can find them? It's such a common thing, it suppose it's not that hard, I just don't know where to look. It's of course a wave...
I'm doing a game where I have to simulate the effect on water when some object falls onto it, like a peeble on a pond. I've been playing around with decaying sinus functions, but I'm running out of time, and I haven't found the set of equations to describe it realistically. Since it's such a...
Homework Statement
A cuboid of constant density, height h and length of bottom side=L is in the train. Determine the minimal necessary acceleration (of the train) needed for the cuboid to fall. There is no slipping.
(that's all that is stated in the text)
Homework Equations
not...
What force(s) are at work when a spherical object, rolling down an angled surface, tends to adhere to the surface, if only for a short while? Does such a thing exist or am I playing fast and loose with the laws of nature?
Thanks
Homework Statement
I need to know the force of a falling object.
m=1.502 kg
v=0.528 m/s (this value is way off from the theoretical which is .9598 m/s)
Duration of impact = 0.167 s
I have all the variable but my problem is this:
This falling object compresses a spring which needs a force of 21...
Homework Statement
Okay, I've been set a piece of coursework to compare the reaction times of catching a ruler, with, or without a certain variable. (I've chosen either eye.)
I'm having trouble working out the exact amount of time it takes the person to catch the ruler. (Yeah, I have...
Homework Statement
The velocity v(t) of a skydiver falling to the ground is governed by
m dv/dt = mg - kv^2
where m is the skydiver's mass, g is the acceleration due to gravity, k > 0 is the drag
coefficient, and v(t) >= 0.
Solve this equation for v(t) with the initial condition...
This is from an old AP test, and it's a multiple choice question, so I don't know why it's giving me so much hell, but here it goes:
Homework Statement
Suppose that a hole is drilled through the center of the Earth to the other side along its axis. A small object of mass m is dropped from...
Homework Statement
Particle was thrown directly upwards. Point which is in distance “d” from the beginning of movement is passed by the particle two times. Once going upwards in time “t1” and second time going downwards in time “t2” from the beginning of the movement. What was the initial...
The velocity of a skydiver falling to the ground ...
Homework Statement
SORRY FOR SO MANY QUESTIONS! I'VE BEEN WORKING THROUGH EACH OF THESE UNTIL I'M COMPLETELY STUCK, SO DON'T THINK I'M JUST TRYING TO SUCK ANSWERS OUT OF YOU FOLKS!
The velocity v(t) of a skydiver falling to the ground...
Probably there's a simple answer for the following question. What prevents a neutral particle falling into a black hole from beyond the event horizon - a point it would have to have an escape velocity greater than the speed of light to reach from the inside - from being accelerated past the...
I understand that surviving an elevator fall is unlikely, but physically speaking, what is one supposed to do to maximize one's chances of survival? Why?
Homework Statement
A stick of mass M, length L is standing upright on a table, pivoted at the bottom.
What is its angular velocity as it hits the table?
Homework Equations
ang. accel = (3g/2L)cos theta (theta is zero with stick laying on table)
The Attempt at a Solution...
All --
With a meter stick standing straight up and pivoted at the *bottom*, what is
the final angular velocity as it hits the table?
I've found plenty of standard stuff on physical pendulums (meter stick
pendulum), where I = 1/12 MR^2, period, etc, but I can't find velocity info...
Homework Statement
Hey guys how are you all.
Lets see, I'm not a physicist (mathematician actually) but I'm involved in this discussion (some may be aware...) and would like some physics help. (This is not an assessment, tutorial, university, school etc question.)
Here's the scenario...
I am studying differential equations from this book by Edwards and Penney, and I seem to have stumbled on this rather bizarre contradiction which I can't seem to get myself out of.
The problem, which is a variation on the classic rope falling off a table, goes as follows:
"Suppose that a...
A uniform rod of mass 0.62 kg is 6 m long.
The rod is pivoted about a horizontal, fric-
tionless pin at the end of a thin extension (of
negligible mass) a distance 6 m from the cen-
ter of mass of the rod. Initially the rod makes
an angle of 48◦ with the horizontal. The rod
is released...
Not sure if this is in the right subforum but:
A chain of uniform mass density, length b, and mass M hangs in a loop from the ceiling (both its ends are adjacent to each other) At time t = 0, one end, end B is released. Find the tension in the chain at point A after end B has fallen a distance...
http://i39.tinypic.com/2qvfrya.jpg
That is the problem that I am trying to solve. It is simply a practice question but I want to make sure that I am doing things right and that I am prepared. I understand the concept of this problem and have modeled the problem on paper with triangles. I just...
I've heard and read many times about Galileo and his standing up in the Leaning Tower of Piza. How he dropped two objects of different mass and proving that the two objects hit the floor at the same time if released at the same time.
What I never understood ... was WHY this happened. What...
An eagle is flying horizontally at 7.6 m/s with a fish in its claws. It accidentally drops the fish.
(a) How much time passes before the fish's speed doubles?
(b) How much additional time would be required for the fish's speed to double again?
Maybe someone else will understand this...
Homework Statement
An object is dropped from a distanse of 2*R(moon radius) from moon senter.
How many seconds does it take until impact with moon, and in what speed will it hit?
The distanse of the fall will be 1.74*10^6 m. The problem is the not so constant accleration.. ;)
gravity...
Homework Statement
A 0.5-kg rubber ball is dropped from rest a height of 19.6 m above the surface of the Earth. It strikes the sidewalk below
and rebounds up to a maximum height of 4.9 m. What is the magnitude of the impulse due to the collision with the sidewalk?
Homework Equations...
Two Space crafts, X and Y, of equal masses, are falling towards the earth.
A) What are the values of the following ratios
i Wx/Wy
ii acceleration of X/acceleration of Y
B) Why would the astronaut in either spacecraft be considered to be 'Weightless'
PLEASE NOTE: There is a...
Hi,
I have a quick question on a problem I can't seem to solve. Any help =)
PROBLEM
Somebody drops a melon on you from a vertical distance of 60 meters directly above your head. To save yourself, you shoot an arrow straight up at the melon at the instant the melon was released. The initial...
Hi Guys,
I have a problem visualising a free falling object to use as a use as a theoretical reference body. I assume that a geodesic path would be the path that such a body would follow, but surely rotational dynamics would preclude such a situation. If there were theoretically such a body...
[b]1. Using separation of variables show that:
v' = (cd/M)(v^2) - g has a general solution of:
v = 20SQRT10 x ((1+Ae^(t/SQRT10)/(1-Ae^(t/SQRT10))
Homework Equations
The Attempt at a Solution
Have attempted numerous times with little success help appreciated!
Homework Statement
A branch falls from the top of a 95.0 m tall redwood tree, starting from rest. How fast is it moving when it reaches the ground?Homework Equations
Total work = \Delta KThe Attempt at a Solution
I have no idea how to do this problem.
Was given this problem as a homework assignment but I would like to solve it...just need a push in the right direction.
An airliner is cruising at a ground speed of 450 knots. A flight attendant, serving drinks, accidentally knocks a bottle off her cart. The distance from the top of the...
Homework Statement
A thin, slender rod with mass m and length L is held in a vertical position, the height h over a solid table.
The rod is dropped and the end of the rod strikes the corner of the table. The rod begins a rotation around the corner.
a) Is linear momentum conserved...
As you look out of your apartment window, you see water balloons falling past. You measure that the balloons are visible (going past the window)for a time t, and the vertical length of your window is L_w. assume that the water balloons were dropped (rather than thrown downward). Determine then...
Homework Statement
You're riding a cable car from Bogota up to Monser-
rate. During your ride there is a small earthquake that
sends vertical, transverse waves propagating along the
cable. The cable's tension is T, its linear mass den-
sity is u, and the wavelength of the wave is...
Calculating Speed of Falling Banana - "Just Before" it Hits Ground?
Homework Statement
"A monkey drops a banana. Its weight is 1N. It falls 3 metres to the ground. What is the speed of the falling banana just before it hits the ground?"
Homework Equations
Not sure, but I'm guessing I...
Homework Statement
Please see image- Dead problemHomework Equations
I want to know, first off, if the two masses hit the ground at the same time (according to my solution, they do, but my friends claim otherwise), secondly, if not how to correct my solution to find the correct times and...
Homework Statement
A square loop is cut out of a thick sheet of aluminum. It is then placed so that the top portion is in a uniform magnetic field B, and allowed to fall under gravity. (B is perpendicular to the loop) If the magnetic field is 1 T, find the terminal velocity of the loop...
So, I've been having a bit of an argument with a guy about falling, identical items, with varying masses.
Homework Statement
For the sake of the argument, we've been using the example of two identical jugs, one filled with water, and the other without. They are dropped at exactly the same...
Ok so I am a student and we've started doing matlab, unforunately I was ill for the last session so I am currently doing it at home myself. The question is unassessed (we are given a few questions then a final assessed question with each session), so if any solutions could have a brief...
Homework Statement
You drill a narrow hole through the center of the Earth and drop a ball of mass m into it. Describe its motion qualitatively.
Homework Equations
F=-G*M*m/r^2
The Attempt at a Solution
I was thinking that the ball would fall toward the center of the Earth and...
When an apple falls to the ground does it not exert some gravity of it's own on the Earth and thus shortening the distance it falls? Why is it always assumed the Earth does not itself move in physics problems?
Homework Statement
A 0.25 kg mass is attached to a spring with spring constant 5.4 N/m and let fall. To the nearest hundredth of a meter what is the point where it 'stops'?
diagram here:
http://wps.prenhall.com/wps/media/objects/1088/1114633/ch11/grav.gif
Homework Equations...
Homework Statement
A stone is dropped from a stationary helicopter 500m above the ground, at the equator. How far from the point vertically below the helicopter does it land?
Homework Equations
Conversation of AM
The Attempt at a Solution
Let the height above the ground it is...
I have heard (what I consider to be) a myth of a pole lifting off the ground before it hits. That is, set something like a telephone pole up on end with no initial falling velocity, then let it drop. The claim is that the bottom of the pole actually lifts from the ground before the whole thing...
Basically I got in trouble at college for going onto my dorm roof to get my frisbee so what I have to do is write a 3 page paper about what would happen to someone if they fell off of a 4 story building (17 meters tall). Obviously they would die more times than not. But I need to discuss what...
I was just wondering about any equations that would play a part in this situation. Obviously gravity plays a role but like calculating the force you'd hit the ground at like the force in pounds or something anything really is what I need it's just a general question. Preferably a 4 story...
Homework Statement
Consider a uniforms cloud of density ρ1 which consists of many little drops that are approximately still.Consider a special rain drop that is a little more bigger than the others so that it starts to fall down.Water drops stays spherical all the way.But the radius gets...
A http://www.cnn.com/2009/US/weather/12/19/winter.weather/index.html" , right in time for Christmas. So every news agency sends a reporter outside to stand in the falling snow, and to emphasize to the audience how hard the snow is falling, what do they always say...
"It's really coming down...