We can view the energy U as being stored in the separated charges, U = ½Q2/C. We can also view the energy as being stored in…
Other sorts of real life examples would be a hot cocoa cooling to room temperature as it is left out on the counter, the asymptote would…
Force is equal to mass times acceleration. This is really a mathematical equation, f = ma. This equation applies to launching the rocket off the launch…
For the car to be in equilibrium (at rest) on the bank, the frictional force (parallel to the slope) exerted by the track on the car must be up the slope. What is the equation for a banked curve? The equation for the maximum velocity of a car on a banked curve is given as:…
How do you solve an elevator problem in physics? What forces act on an elevator going down? The elevator’s free-body diagram has three forces, the force of gravity, a downward normal force from you, and an upward force from the tension in the cable holding the elevator. The combined system of you + elevator has…
As the angle of the incline is increased, the normal force is decreased, which decreases the frictional force. The incline can be raised until the object just begins to slide. At this angle of the incline friction is at its maximum or ready to be over come. How do you solve a friction problem with…
How do you solve inclined problems in physics? What are 10 examples of an inclined plane? Garbage Dumping. The trucks that are used to dump garbage consist of a mechanism that tilts the container attached to the back of the truck. Pyramids. Have you ever wondered how the pyramids were made? Stairs and Ramps. Moving…
How do you find the atmospheric pressure by using mercury barometer? Why the height of a barometer with water in it will be about 13.6 times the height of mercury in a common barometer? A denser/heavier liquid means shorter height of the column to balance the pressure. For example the density of water is 13.6…
A normal mode of a dynamical system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation. The free motion described by the normal modes takes place at fixed frequencies. How do you calculate normal mode? To specify what a normal…
Television would be blurry without special relativity But if light stands alone as an immutable champion, then everything else in the universe must be flexible, including distances between things (space) or even time. That’s been proven experimentally and leads to some wacky trends in our existence. How do you solve special relativity problems? Draw a…
Glancing collision is a collision that takes place under a small angle, with the incident body being nearly parallel to the surface. How do you solve collision problems in physics? What are the conditions of glancing collision and head on collision? If two objects make a head on collision, they can bounce and move along…
If we know the falling object’s acceleration and incline angle, we can find the g value without mass. When an object accelerates horizontally along the earth’s surface, it accelerates equally to the value of g, which is 9.8 m/s2. How do you find the acceleration of a pulley? How do you find the acceleration of…
efficiency =WQH=1−TCTH. These temperatures are of course in degrees Kelvin, so for example the efficiency of a Carnot engine having a hot reservoir of boiling water and a cold reservoir ice cold water will be 1−(273/373)=0.27, just over a quarter of the heat energy is transformed into useful work. What is the efficiency of the…
The formula for buoyant force is: (B) = ρ V g. ρ = Density of Fluid (We used density of the air because the balloons were afloat, not submerged) V = Displaced Volume. g = 9.8 (gravity) Density of air(ρ)= 1.225 kg/m3. Volume of gas filled balloon:= 0.40031998748547 m3. Will the velocity of the hot…
Without using the unit of time the distance can be calculated by using the formula of v^2 = 2ad where v^2 is the square of velocity, a is the acceleration of the body and d is the distance or displacement. How do you solve distance problems in physics? What is distance in physics with example?…
As altitude rises, air pressure drops. In other words, if the indicated altitude is high, the air pressure is low. How do you solve pressure problems? What is the formula for pressure altitude? If you don’t have access to an altimeter, you can determine pressure altitude by using this formula: (standard pressure minus your current…
Conclusion: The magnitude of the velocity of the ball is 26.3 m/s for the parabolic motion just before it hits the ground and this greater than the 17.1 m/s for the velocity of the ball that falls straight downward. How do you solve projectile motion problems in physics? How do you find the maximum height…
Shock cord has a 100% elongation or can stretch to double its original length, while elastic cord has a 50% elongation or can stretch to one and a half times its original length. How do you calculate the extension of a bungee cord? Equating these expressions gives mgh = 0.5kx^2. This assumes that all of…
The bungee jump can then be divided into three phases: (i) a free-fall (with acceleration of gravity g) of the jumper, when the rope is still slack; (ii) the stretch phase until the rope reaches its maximum length; and (iii) the rebound phase consisting of a damped oscillatory motion. How does a bungee cord reduce…
Hot air balloons are based on a very basic scientific principle: warmer air rises in cooler air. Essentially, hot air is lighter than cool air, because it has less mass per unit of volume. A cubic foot of air weighs roughly 28 grams (about an ounce). If you heat that air by 100 degrees F,…
After a two sample t-test, we find that heavier rolling objects have a statistically faster clear time for a given inclined plane in comparison to lighter rolling objects. In addition, heavier objects will be more resistant to the effects of air resistance and rolling resistance. What happens when a ball rolls down a ramp? So…
A heat engine is considered to be 100% efficient if only all the heat is converted into useful work or mechanical energy. Since heat engines cannot convert all the heat energy into mechanical energy, their efficiency can never be 100%. How do you calculate work done by an engine? The useful work done by a…
Galileo discovered that objects that are more dense, or have more mass, fall at a faster rate than less dense objects, due to this air resistance. A feather and brick dropped together. Air resistance causes the feather to fall more slowly. How do you calculate air resistance in physics? The units for the force of…