In physics, energy is the quantitative property that must be transferred to a body or physical system to perform work on the body, or to heat it. Energy is a conserved quantity; the law of conservation of energy states that energy can be converted in form, but not created or destroyed. The unit of measurement in the International System of Units (SI) of energy is the joule, which is the energy transferred to an object by the work of moving it a distance of one metre against a force of one newton.
Common forms of energy include the kinetic energy of a moving object, the potential energy stored by an object's position in a force field (gravitational, electric or magnetic), the elastic energy stored by stretching solid objects, the chemical energy released when a fuel burns, the radiant energy carried by light, and the thermal energy due to an object's temperature.
Mass and energy are closely related. Due to mass–energy equivalence, any object that has mass when stationary (called rest mass) also has an equivalent amount of energy whose form is called rest energy, and any additional energy (of any form) acquired by the object above that rest energy will increase the object's total mass just as it increases its total energy. For example, after heating an object, its increase in energy could be measured as a small increase in mass, with a sensitive enough scale.
Living organisms require energy to stay alive, such as the energy humans get from food. Human civilization requires energy to function, which it gets from energy resources such as fossil fuels, nuclear fuel, or renewable energy. The processes of Earth's climate and ecosystem are driven by the radiant energy Earth receives from the Sun and the geothermal energy contained within the earth.
Homework Statement
A 175g mass attached to a horizontal spring oscillates at a frequency of 2.0Hz. At one instant, the mass is at x = 5.0cm and has Vx = -20cm/s. Determine the following.
a.) the period
b.) the amplitude
c.)the maximum speed
d.)the total energy
Homework Equations...
I am reading from the book, "Nuclear Reactor Theory", by Lamarsh. I have run across an idea that I am struggling to understand:
It states that for a neutron that scatters elastically with a nucleus, the Energy in the Center of Mass (COM) frame of reference will always be slightly less than...
Homework Statement
A 50.0 gram object, connected to a spring with a force constant of 35.0 N/m oscillates on
a horizontal, frictionless surface with an amplitude of 4.00 cm.
Find: a) The total energy of the system.
b) The speed of the object when the position is 1.00 cm
c) The Kinetic Energy...
Homework Statement
Assume that the magnitude of the magnetic field outside a sphere of radius R is B = B0 (R/r)^2. Determine the total energy stored in the magnetic field outside the sphere.Homework Equations
I think it's necessary to use the energy density equation.
u = B^2/(2*u0)
total...
Homework Statement
A mass M is suspended from a spring and oscillates with a period of .940s. Each complete oscillation results in an amplitude reduction of a factor of .96 due to a small velocity dependent of frictional effect. Calculate the time it takes for the total energy of the...
I need with a problem...A 0.10 kilogram solid rubber ball is attached to the end of an 0.0 meter length of light thread. The ball is swung in a vertical circle. point P, the lowest point of the circle, is 0.20 meter above the floor. The speed of the ball at the top of the circle is 6.0 meters...
Homework Statement
A 12 V battery is rated at 200 Ah (Amps hours). How much total energy can it supply?Homework Equations
P=IV
The Attempt at a Solution
First I did E = 1/2 C V^2. (Got 4,320,000 J, although I'm not sure if that is correct). But now I need to convert it to kwh so my question is...
Homework Statement Can a system have the total energy conserved but the hamiltonian not conserved?
Homework EquationsIf the partial of the lagrangian w.r.t time is zero, energy is conserved.
The hamiltonian is found by the usual method- get the generalized momentum from the lagrangian...
Homework Statement
Two point charges lie along the y axis. A charge of q1 = -12.0 µC is at y = 7.0 m, and a charge of q2 = -2.0 µC is at y = -4.0 m. Locate the point (other than infinity) at which the total electric field is zero.
Homework Equations
E = (K lql) / r^2
The Attempt...
Here is a detail that makes me doubt:
Homework Statement
I am given the equation for a standing wave with a dependence in 't' and 'z' only... I am told that the wave is propagating in a confined space (2*2*2) m
Q1. Calculate the energy density for n=1,2,3. I didn't have any pb with this...
Calculate the total energy of a geosynchronous satellite (one that orbits over a fixed spot) with a mass of 1500kg, orbiting Earth at a height of 325km with an orbital speed of 5000m/s
This question is starting to drive me a little mad. First of all, the satellite can't be in a...
Is it possible to express the total energy of a damped linear oscillator as a function of time? I'm confused here. I'd like to find E(t). As the oscillation is damped, dE/dt should everywhere be negative (energy being dissipated as radiation or heat). By setting E(t) equal to zero, shouldn't I...
Question: A block of mass .05 kg is pulled .3 m from its equilibrium position and released. The spring constant is 5 N/m
What is the total energy of the block-spring system?
My book says E = K + U or E = (1/2)mv^2 + (1/2)kx^2. My book also says E_total = (1/2)kA(amplitude)^2. Which formula...
Q: A sinusoidal wave of the form: y = A \sin{kx - \omega t} is traveling along a string in the x direction, where A = 0.88 mm, k = 2 m^-1, omega = 25 rad/s, with x in meters and t in seconds. For this string, the mass per unit length is given by mu = 0.01 kg/m.
For a length segment delta x = 1...
A solid sphere of mass 0.599 kg rolls without slipping along a horizontal surface with a translational speed of 5.07 m/s. It comes to an incline that makes an angle of 37.0° with the horizontal surface.
(a) What is the total energy of the rolling sphere? Neglect energy losses due to...
The specific heat capacity of solid lead is 0.159J/g°C, the molar enthalpy of fusion is 5.0kJ/mol, and the melting point of lead is 328°C. Calculate the total energy required to change 100g of lead at 25°C to molten lead at it's melting point.
I don't even know where to start, I know...
A block of mass 0.25 kg is connected to a spring with a spring constant (k) of 35 N/m. It is oscillating on a frictionless horizontal surface. It's speed as it passes through equilibrium is 1.04 m/s. What is the total energy of the system?
I know that E=0.5(k)(A)^2. I just can't figure out...
I need help with this question. I can't see the motion. I have
Consider a solid sphere of radius R with a charge Q distributed uniformly. Suppose that a point charge 'q' of mass 'm', with a sign opposite that of Q, is free to move within the solid sphere. Charge q is placed at rest on the...
Total energy of a dielectric sphere please help!
I have a problem that I can not do after searching the net and looking through my notes and textbook. I think it is a basic electomagnetic field question but i just can't get my head around it.
The question is:
The electric field E inside...
An electron with speed 0.8c, has a rest energy of .51MeV.
What are its mass, its momentum, and its energy (including rest energy)?
----------------------------------------------------------------------
Ok, isn't it possible to get the three answers without using the .5MeV ?
I have...
Two stars with the mass and radius of the sun are separated by distance 10*r_sun, measured between their centers. A 10,000 kg space capsule moves along a line between the stars.
Suppose the space capsule is at rest 1.0 m closer to one star than the other. What will be the speed of the space...
The answer to the problem is a), the orbital speed will decrease but the total energy will become larger. How is this? It's kinetic energy has decreased and the gravitational potential energy should also have decreased from this equation
GM(earth)m(object)/r where r has been increased, thus...
Can some one please help me with this question:
A 20 microfarrad capacitor is charged to 10V and isolated. A second uncharged 20 microfarrad capacitor is now connected to the plates of the other. The capacitors rapidly come to the same pd between their plates. What is the charge on each...
Lately there has been a lot of talk about this kinda stuff and I am beginning to understand it but I think the best way to fully understand it is if I write it out and ask you guys. Let's say that one mass is orbiting another in space and all we know is the mass of both planets and the...
This post relates into the idea of post: https://www.physicsforums.com/showthread.php?t=58918
I was talking to my physics teach and he said some thing confusing. I have a video of the ball drop and the separation; however, I do not have the clip RIGHT before the collision (with the earth)...
Hi,
From knowing that the 3D harmonic oscillator has 3 degrees of freedom, how do you conclude that the average total energy of the oscillator has energy 3kT?
Thanks,
Ying
The question and detail:
I setup the problem using energy conservation: K_a + U_a = K_b + U_b:
K_a = total kinetic energy of the 3 charges when they're at rest
U_a = total potential energy of the 3 charges when they're at rest
K_b = total kinetic energy of the 3 charges when they're far...
Particulars:
ball has a radius of 2.5 cm a mass of .125 and is rolling across a table with a speed of .547 m/s, this table is 1.04 m off the ground. It rolls to the edge and down a ramp How fast will it be rolling across the floor?
First I found the Gravitational Potential Energy: Ep=mgh...
SETUP
A Young experiment is set up using a continuous laser source of monochromatic plane waves with wavelength λ, an opaque barrier with two equal size vertical slits and a sliding light detector that can produce an irradiance graph for all of the light passing through the slits. The...