
Physics
Solve of B: `B=CA` where `C=(0,95)` `A=(75,0)` Subtract the corresponding components of the vectors: `B=(075, 950)` `B=(75,95)` This can be graphically explained using the parallelogram...

Science
It might be wise here to give an overview of the internal combustion engine and the basics of how it works. The heart of a gasoline engine is the fuel cylinder. The cylinder is a metal cylinder...

Physics
2. The formula for the displacement is `d=v_0t + (at^2)/2` , where `v_0` is the initial velocity, a is the acceleration and t is the time elapsed from the beginning of the motion. So after t = 5 s,...

Physics
Hi, nikki, I included a quick sketch that helped me visualize the problem. The red line would be the balloon. The blue line would be the camera. The reason it is moved to the right is because of...

Physics
The cable car system starts with the engineering of a pulley and cable system originating in a power station at one end of the cablecar line. There, an electric motor turns a pulley on which is...

Physics
A) The figure is below. Initially the bucket and the counterweight are stationary. After the small ball bounces back, it will have the speed `e*u` relative to the bucked which will move with the...

Science
A ray of light is electromagnetic radiation. Electromagnetic radiation is energy in the form of a wave that travels in a direction through space at the speed of light. It is composed of two...

Math
Let the particle hits the screen after time `t` from being projected. The particle will have a constant horizontal velocity of `ucosalpha` , and a decelerating vertical motion, having initial...

Math
At the coordinates (x,y) = (5,6.29), x = 5. When x = 5 `f(x) = 27sin(2pi(t/6.3  5/0.21)) = 27sin(2pi(t/6.3  23.81)) ` `= 27sin(2pi((t150)/6.3))` and we are given that `f(x) = y = 6.29` so...

Math
The velocity of A is a vector, that is it has a magnitude and a direction (forwards or backwards). The velocity is given by `v = 16  2t  3t^2` The distance travelled by A is given by the...

Physics
A ball is dropped from the top of the building that is 80 m tall. Use the formula: s = u*t + (1/2)*a*t^2 where s is the distance traveled in time t, a is the rate of acceleration and u is the...

Science
Magnetomotive force (mmf or simply F) is a measure of the strength of magnetic field in a coil. Conceptually it is analogous to electromotive force in a resistor circuit. For a given length of a...

Science
The magnetomotive force of a coil, F, is obtained by multiplying the number of turns with the current strength. `F = N*I` Here, `N = 250, I = 0.4` amperes So, `F= 250*0.4 = 100` Magnetic...

Math
Let P be the position of the particle at any time t where arc AP = s and angle AOP = `theta` (Refer to the attached image). If v be the velocity of the particle at P, the equations of motion along...

Math
The particle is projected from the lowest point A of a sphere with velocity `u=sqrt(nga)` to move along the inside of the hollow sphere. Let P be the position of the particle at any time t where...

Math
We can use energy conservation law here assuming that there is no energy losses during the motion. Let us define the horizontal line that passes through A as datum and the mass of P as m. When P is...

Science
The man feels centrifugal force due to rotational motion, while centripetal force owing to friction on the platform he is standing keeps him stable. The moment centrifugal force due to rotation...

Math
When a body is placed on a rough inclined plane of inclination `theta` , and the inclination is increased gradually from zero, the frictional force operates against the direction of motion. At...

Physics
The mass of the bottle when empty is 40 g, and when it is filled with water the mass is 75 g. The density of water is 1 g/cm^3. As 75  40 = 35 g of water can be filled in the bottle and the...

Science
Being of the same sign (both +ve), the two charges repel one another, and the magnitude of this force is given by Coulomb’s law: `F = 1/(4piepsilon_o)(q_1*q_2)/r^2`...

Science
I like to add some additional data to the answer. If the solid cannot not fully submerged in water we can attach it to a object that can fully submerged in water which has a known volume. Then you...

Physics
The question asked is why the value of limiting friction for any 2 given surfaces is independent of the shape or area of the surface in contact so long as normal reaction remains same. The surface...

Physics
In the SI system, watt is the unit for power. Hour is a unit of time, equal to 3600 seconds. Power is the energy expended per unit time, or power = energy/time. Energy = power*time. Watthour is...

Physics
Atoms of all elements, except hydrogen, are made of electrons, neutrons and protons. The mass of a neutron and a proton can be considered to be the same and is equal to 1.672621777*10^27 kg. The...

Physics
We know that a light ray strikes a plane at an angle of 50 degrees from the normal. This means that the light ray is striking the mirror at an angle of 40 degrees from the mirror. This is so...

Science
There are a few forces at work here. First you have force from your foot hitting the bottle of air or air pump. This would be considered applied force as your foot is applying the force to the...

Science
The Earth itself is in motion (quite a considerable amount of it, in fact, on the order of hundreds of miles per hour as we rotate around the center of the galaxy) but you would never know it from...

Science
Sound waves are generated by objects which themselves are moving rapidly to and fro: the kind of movement usually called vibration. Pitch is that characteristic of a sound which allows us to...

Physics
For water the total length submerged is `L_1=102 =8cm`. For the second liquid, the total length submerged is `L_2 =104 =6 cm` . The hydrometer works on Archimedes principle, so that the buoyant...

Physics
We know `Q_1+Q_2=4xx10^(9)C` , where `Q_1,Q_2 ` are respectively charges on small and big spere. `12xx10^(9)+Q_2=4xx10^(9)` `Q_2=4xx10^(9)+12xx10^(9)` `=16xx10^(9) C`

Physics
To find the angle of refraction, use Snell's Law. Here, `theta_1` is the angle of incidence (angle the ray makes with the normal to the surface) and `theta_2` is the angle the refracted ray makes...

Physics
The massenergy equivalence relation `E = mc^2` gives the energy released when an object with mass m is completely converted to energy. Alternately, as the energy of an object is increased there is...

Physics
1. You need to use the relativistic time dialation formula: `t = t_0/sqrt(1  v^2/c^2)` , where `t_0` is the time elapsed in Earth reference system, 25 years, v is the speed you have traveled with,...

Physics
`+6.4xx10^(6)` `+2.5xx10^(6)` `3.6xx10^(6)` `Q_1` ______`r_1` _________`Q_2`________`r_2`________ `Q_3` .015m .055m Let...

Physics
The first with a mass of 69kg and it moves at a speed of 4m/s. The second arm is mounted on the first arm and has a mass of 7kg and moves at a speed of 2.2m/s. We know `KE=(1/2)mv^2 J` Thus KE of...

Physics
Heat can be transfered from one place to another place by means of conduction,convection and radiation.When car moves on the road ,it comes in contact with road surface.So heat generated by...

Physics
Since the car is moving with constant speed, its acceleration is zero. According to the second Newton's law, the net force acting on the car equals mass times acceleration: `F = ma` , where F is...

Physics
We can solve this problem using the expression: `F = q*v*B` Where: F = force acting on the particle q = charge of the electron= 1.6022 × 10^19 coulombs v = velocity of the moving particle = 2.5 x...

Physics
Let Earth's magnetic field is B. Let induced emf be `epsi` ,so `epsi=(NDeltaphi)/(Deltat)` `=(NBA)/(Deltat)` `B=(epsi Deltat)/(NA)` (i) where N = no. of turns= 505...

Physics
Remember we have the expressions: `E = A * (dB)/(dt)` `A = pi r^2` `E = pi r^2 (dB)/(dt)` where: A = area of the coil r = radius = diameter/2= 10.2/2 = 5.1 cm = 0.051 m db = change in magnetic...

Physics
Let induced emf be `epsi` ,so `epsi=(N.Deltaphi)/(Deltat)` `=(NxxBA)/(Deltat) ` V N=no. of the turn =1 `Deltaphi=` change in magnetic field=`.60xxpixx(.33)^2` `=.2054` Wb `Deltat=` change in...

Physics
An object will warm or cool depending on its energy imbalances. If the object receives more energy than it losses, the object will warm. If the object losses more energy than it receives it will...

Physics
You need to evaluate the forces acting on the object on the plane, such that: `G = m*g` `F_G = G*sin theta` (`theta` is the angle of the incline, `F_G` is the force that is parallel to the...

Physics
Resultant of two forces acting at a point calculated by triangle law. Let 130N force acting along side AB and 110n force acting along side BC. Then resultant will work along side AC of triangle...

Physics
The resistance of a resistor is given by the formula `R = rho*l/A ` where `rho` is the resistivity of the material the resistor is made of, l is the length of the resistor and A is the...

Physics
Note that current refers to rate of flow of charge. Its relation to charge (Q) in a given time (t) is:`I=Q/t` In the formula, the unit of the current (I) is Ampere, the charge (Q) is Coloumb and...

Physics
Drop in Voltage =128.4=3.6 V Cureent Draw= 75A Let internal resistance be R ,the By Ohm's law,we have V=IR 3.6=75 R R=3.6/75=0.048 ohms

Physics
Answer: 110nm For a thin film, light reflects off of the surfaces involved and interfere with each other. The most common example is the soap bubble. When white light hits it you see patterns of...

Physics
The angular separation resolution of a lens is given by `theta =1.22*lambda/D` , (1) where `D =7 mm` is the diameter of the lens. The speed of light is smaller for higher refraction indexes than...

Physics
The figure is below. The condition of having maxima of interference at the angle `theta` for a certain wavelength `lambda` is `d*sin(theta_k) = k*lambda` (1) , where `k` is an integer where `d...