Homework Statement
Particle A having mass mA is placed at a fixed distance r from particle B which has twice the mass of particle A. Which of the following statements will be true?
Select one:
a. The magnitude of the force on A will be twice the magnitude of the force on B.
b. The...
Hello, physicsforums. I'm trying to write a proof for a function involving Newton's law of gravitation, and I seem to be stuck. The function I'm trying to build is a function of time with respect to distance.
This is the formula I want to transform.
\mathrm{A}=-\frac{GM}{x^{2}}
For...
I don't know much about the two ideas but I'm confused because the two theories seem to contradict each other, if all matter (with mass) bends space, then there is no such thing as "gravity", or maybe gravity is just the actual bending of space, so should we refute the idea of "gravity"? or just...
Homework Statement
A hot solid body is immersed into a large body of water
which is a 4 degrees C. After one hour the body's temperature is measured
at 40 degrees C, after 2 hours at 15 degrees. Assuming that Newton's law of
cooling applies and that the water body is mixed constantly and...
Hello,
In my Differential Equations class we are learning about modelling with first order differential equations. We learned that Newton's Law of Cooling breaks down when the temperature of the object is approaching the temperature of the room its in. You eventually get to a point where you...
Homework Statement
A star of mass 5 × 10e30 kg is located at ‹ 7 × 10e12, 3 × 10e12, 0 › m. A planet of mass 4 × 10e24 kg is located at ‹ 5 × 10e12, 5 × 10e12, 0 › m and is moving with a velocity of ‹ 0.6 × 10e4, 1.4 × 10e4, 0 › m/s.
A. During a time interval of 1x10e6 seconds, what is the...
A decent "k" value for Newton's law of cooling for water?
Recently I've been trying to cool some water to a specific temperature from boiling. It doesn't have to be super accurate (within about 5° degrees Fahrenheit or 2° Celsius) but the only thermometer I have access to is just for ambient...
Hello everyone,
What does it mean if I integrate Newton's law of universal gravitation with respect to r.
F= GMm/r^2 become 3GMm/r^3 . Is this the work needed to escape a gravitational pull ?
Thank you
##F = G \frac{ m_{1} m_{2}}{ r^{2} } ##
Where does the formula come from? And why does it work that way?
How would it relate to Newton's Second Law?
##F = ma##
Using Newton's Second Law, is it possible to get the Law of Universal Gravitation?
Homework Statement
A book is at rest on a table. What is the "reaction" force according to Newton's third law to the gravitational force by the Earth on the book?
(1)the normal force exerted by the table on the book
(2)the normal force exerted by the table on the ground
(3)the normal...
A snow sled, with total mass 80.0 kg, is lowered at constant speed down a slope of angle 60.0° with respect to the horizontal, for a distance d = 14.0 m. The coefficient of kinetic friction between the sled and the snow is 0.290.
Note: g = 9.80 m s–2.
1. What is the work done by the friction...
Homework Statement
In autumn 2011 a whale was stranded.
Although the whale was already dead for some time
and the ambient temperature is approximately constant at
the freezing point was, the body temperature was inside lying on the beach of Wales on 21 November is still about 20 ° C...
Homework Statement
I tried solving the question below, but I get a different answer than any available inthe m multiple choice.
Homework Equations
Netwon's Second Law
The Attempt at a Solution
I get 82N. http://hyperphysics.phy-astr.gsu.edu/hbase/incpl2.html gives me 82N for the tension...
Homework Statement
A hot body placed in the surrounding of temperature θo obeys Newton's law of cooling dθ/dt = -k(θ-θo), where k is any constant. Its temperature is θ1 at t=0. t is time. The specific heat capacity of body is "s" and its mass is "m". Find the time starting from t=0 in which...
Newton's law of cooling says:
Instantaneous rate of cooling = -k (Original temperature - Final temperature)
But what does this 'k' mean?
I know it depends on the nature of the surface; but what property does it correspond to?
Is 'k' related to specific heat capacity?
Does higher...
Homework Statement
A block of mass m lies on a surface thirty degrees above the horizontal. A force with a magnitude equal to twice the weight of the block pushes it uphill. If the coefficient of kinetic friction is 0.4, find the acceleration of the block.
Homework Equations
Newton's laws of...
Homework Statement
A dockworker applies a constant horizontal force of 83.0 to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves a distance 10.0 in a time 5.30 .
If the worker stops pushing at the end of 5.30 , how far...
Newton's law of cooking
T(t)= Ta+(To-Ta ) e^(-kt)
or search it up online for a cleaner formula.
Anyways, what does the cooling constant k represent. What do larger or smaller values of k mean?
Thanks
Hi Everyone.
I've been trying to build an electrical motor and would like know the method to actually calculate the forces exerted on several parts in the motor according to Newton's laws. I've attached some pictures and drawings of the motor I'm trying to build. There are two scenarios that...
Homework Statement
I'm devising a lab to find/prove the conservation of energy through one of Newton's laws. I can substitute variables when do the lab, but I need to design it first before I assign variables or data.Homework Equations
K.E.(initial) + P.E(initial) = K.E.(final) + P.E.(final)
X...
Hi,
Newton's 2nd Law can study the motion of the objects in the case of zero net force:
F = ma
if F = 0 then a = 0 then v = constant, then the object is either at rest (v=0) or moving in uniform rectilinear motion. (Bold quantities are vectors).
What is the point of Newton's first law as it...
Homework Statement
The force of gravity on a spacecraft some distance from Earth is 900 N. What will be the force of gravity on a spacecraft with twice the mass, at a distance from Earth’s centre that is as far?
I'm a bit confused as to what I do next with this problem.
Consider the initial value problem \frac{dy}{dx} = a(y-b) where y(0) = y0
With a > 0, b = 0, it represents exponential growth, while a < 0, b = 0 gives exponential decay. With y = T, a = -k, k = TA and y0=T0 it gives Newton's Law of...
Homework Statement
A 62-kg ice skater pushes off his partner and accelerates backwards at 1.8m/s2. If the partner accelerates in the opposite direction at 2.1m/s2, what is the mass of the other skater? Assume that frictional forces are negligible.
Homework Equations
F=maThe Attempt at a...
Homework Statement
A piece of string of length l and mass M is fastened into a circular loop and set spinning about the center of a circle with uniform angular velocity omega. Find the tension in the string. Suggestion: Draw a force diagram for a small piece of the loop subtending a small...
Homework Statement
Small object of mass m is placed on the inner surface of the conical dish which can rotate with angular speed ω.
For μ=0.3 calculate the minumum and the maximum ω such that the object is remains at rest. Solve the problem using the indicated axes x-y.
Do the following...
1. A problem that I need to solve for class is asking me to solve Newton's Law of Cooling for a 4-layered system.
The system is a cube with three layers (also cubic) around it. The inside cube and the three layers all start at the same temperature that is lower than the ambient temperature...
Newton's Law of Cooling basically states (I believe):
TObj = (TInital-TEnv)ekt + TEnv
where k is a property of the material.
In the equation:
Q=mCΔT
Specific heat capacity, C, is also a material property.
So here's my question:
Is there a relation between Newton's Law's k and the...
Please explain the concept of pseudo forces by considering an example of two cars say A and B, accelerating in the same direction. How will Newton's law applied to the man in car B as noted by the man in car A differs from that of the man standing on the earth? And how will the man in car A...
Homework Statement
The problem states that you discovered the body at 1pm Thursday in a freezer where the temperature was 10F. Temperature of the corpse at discovery was 40F. I have to find how many hours ago the victim died.
Homework Equations
You are given the formula T = Ta + (98.6 -...
Homework Statement
after a very unpleasant valentine's Day, a dead body was found in a downtown warehouse that had no heating or air conditioning. it was February in Florida and we know that the daily temperature in the warehouse fluctuates according to the function T(t)= 63-12sin(∏t/12)...
Homework Statement
The temperature of an object has been lying at rest and cooling for sometime had been found to be 31oC. An hour later, the same object was found to be 30oC. The room was also What was the initial temperature of the object, assume Newton's law of cooling applies...
Homework Statement
is there a point between the Earth and the moon for which the net gravitational force on an object is zero? Where is this point located? Note that the mass of the Earth is 5.98x10^24 kg, the mass of the moon is 7.35x10^22kg, and the distance between the centres of Earth...
I've been trying to figure out how to solve the following problem:
"A metal bar is placed in a container (call it container A) which is inside of a much larger container (call it container B), whose temperature can be assumed to be constant. Find the function for the temperature of the metal...
Homework Statement
Using a data logger, I have collected data for two cooling cups: the temperature (c) at 1 second intervals. My task was to model this data using two methods.
"METHOD 1: Use EXCEL or the regression analysis capability of your graphic calculator"
"METHOD 2: Find the...
I did this problem a few times now and double checked my procedure but I don't see what I did wrong. The answer should be 6.07 minutes according to the back of the book, but I get 3.63.
Homework Statement
Newton's law of cooling states that the temperature of an object changes at a rate...
I don't understand Newtons law of cooling
dT/dt = k(a - b)
were a is the object and b is the surroundings that the object is placed in...
Is this correct or is there suppose to be a negative sign like so
dT/dt = -k(a - b)
also does Newton's law of cooling apply to putting a cold object...
Homework Statement
Draw a free body diagram for the block on the frictionless ramp below. Break up any problem vectors into friendly vectors. Will you work in x and y components or parallel and perpendicular? Then, find the magnitude of each force you have labeled. Lastly, find the...
I want that [0,\infty[\to\mathbb{R}, t\mapsto x(t) satisfies
\ddot{x}(t) = -\partial_x U(x)
where U:\mathbb{R}\to\mathbb{R} is some potential function. Then I set the initial conditions x(0) < 0, \dot{x}(0)>0, and define
U(x) = \left\{\begin{array}{ll}
0,&\quad x < 0\\
\textrm{Cantor...
I've worked out the inverse square law using centripetal acceleration and Kepler's law. But I can't quite see how Newton worked out for sure that the force is directly proportional to both masses. I know it's pretty intuitive, but I thought maybe there was a mathematical way of confirming that...
Do you ever lie awake at night worrying about natural laws?
How can we 'focus on basic principles', or indeed 'clarify the nature of physical laws' by using a model that doesn't exist in nature?
What I want to ask is the (b) part (It's one of our old MTs). In the solution given, it talks about an acceleration,a3, on the horizontal axis. However, in the equation, the surface forces acting on m1 and m2, FN1 and FN2, are not affected by this acceleration, a3. Isn't that wrong?
Homework Statement
"A small smooth sphere of mass 3 kg moving on a smooth horizontal plane with a speed of 8 m/s collides directly with a sphere of mass 12 kg which is at rest. Given that the spheres move in opposite directions after the collision, obtain the inequality satisfied by e."...
URGENT! Newton's law of cooling to find time of death
Homework Statement
The victim, Peter Sloane (a senior physics lecturer), was discovered at 9.43pm with a liver temperature of 22.26°C in the Oliver Lodge coffee room, with the window open. The temperature of the room matched that of the...
Homework Statement
This problem asks you to work out the dielectric function of a gas of particles with number density n, charge q, and mass m, with a steady magnetic field applied in the z direction.
Assume an electric field in the x direction,
E_x(t)=E_xe^{-i \omega t}
is applied. Write...
to answer this question:
Q) A mass of 100kg is 50m away from a mass of 250kg (from centre of masses). Calculate the gravitational force of attraction between both point masses.
Could I use Einstein's theory of gravity to answer this question using the information given. If so, how would I...