Mechanics

The word pressure speaks to the force applied by something, like the fluid air, on something else. A difference in pressure between one area and another will cause air to move in response to that differential pressure. This will create a draft, a breeze, wind or other phenomenon associated with moving air. This idea is at the heart of weather formation and atmospheric dynamics, and, along with some Coriolis forces, shapes planetary weather.

There is an equation called the Range equation that can be used here. This equation only applies when the starting altitude and ending altitude are the same for the object. R = v2 sin(2 Theta)/g v is the initial velocity of the ball, theta is the launch angle, and g is the gravitational constant(9.8 meters per second squared or 32.2 feet per second squared depending on which system you wish to use). R is the distance the ball is hit.

We have to assume that the 785 km/hr is the speed measured by an observer on the ground, NOT the closing speed. The closing speed is (785 x 2) = 1,570 km/hr. If the impending catastrophe first attracts their attention when they are 11 km apart, then the distance between them at that instant represents 11/1570 = 0.007 of an hour = 25.22 seconds (rounded)

It's not preferable to speak about 'forces' when considering crashes or impacts. Force depends not only on the projectile, but also the target, so it's better to describe projectiles using kinetic energy they carry.

Formula for kinetic energy of moving body is:

Ek = mv2 / 2

It's quite hard to compare bullets and arrows due to big variety both in firearms and in bows and arrows. Let's try however.

Arrow with mass of 25g, which may travel at 75m/s:

Ek = 61 J

Bullet 5.56x45mm with a mass of 4 g flying at 940m/s:

Ek = 1620 J

Gun bullet (.45 ACP) with mass of 12g at 373m/s:

Ek = 835 J

Comparison seems favourable for firearms.

Remember though that 'stopping power' and possibility of fatal injury isn't only affected by kinetic energy.

Bows and other weapons are not toys and should be handled with responsiblity.

Note: Though it is true old longbows cannot outclass a firearm in modern warfare, a longbow arrow has more penetration, 4 inches of solid oak and then 6 inches more out the other end at 30-50 yards, and has been tested and successfully penetrated a bullet proof vest. This is due to the heavier weight, better transfer of momentum, and solid pointed tip not shredding like a bullet. Makes you wonder what would have happened if they continued advancements in tension based weaponry?

Mass is THE AMOUNT OF MATTER IN AN OBJECT.

3 x 45 = 135 miles total distance. You are averaging 45 miles per hour over the 3 hour period.

False. Impulse and momentum are related concepts but not the same. Momentum is the product of an object's mass and velocity, while impulse is the change in momentum experienced by an object when a force is applied to it over a period of time.

30 m/s

The acceleration due to gravity is 9.81 m/s2.

So, after the 1st second, it is traveling 9.81 m/s.

After the 2nd second, it is traveling 19.62 m/s.

After the 3rd second, it is traveling about 30 m/s.

Examples of plasticity include the brain's ability to reorganize itself after injury, such as in stroke patients where other areas of the brain compensate for damage. Muscles can also exhibit plasticity, with strength training leading to muscle growth and adaptation. Plasticity is also seen in the developing brain, where connections between neurons are constantly forming and reshaping based on experiences and learning.

A heterogeneous mixture is one in which the individual components are visible and not evenly distributed, such as granite or beef stew. A homogeneous mixture is one in which the individual components are evenly distributed throughout, such as a salt or sugar solution.

The unit of Inertia is kg and the Moment of Inertia is kg*m^2

Heterogeneous: we can actually see the various components of a flower.

In a related definition, flowers contain both liquid (through the xylem and other areas) and solids, so this constitutes heterogeneity

Feel a forward jerk on your body when bus stops suddenly, or a backward jerk when bus starts forward.

A roller coaster car operates almost entirely on inertial energy.

Coasting on a skateboard, bicycle, or manual scooter.

A rock sitting on the ground (not moving without added energy).

To convert frames per second (fps) to miles per hour (mph) in a video, you need to know the distance covered in one frame and the duration of the video in seconds. Once you have those values, you can use the formula: mph = (fps * distance per frame * 3600) / seconds in video. This will give you the speed in miles per hour.

Net mass refers to the weight of a product without any packaging or containers. It represents the actual amount of the product itself, excluding any external materials used for transportation or storage. Net mass is typically used to accurately determine the quantity of a product being sold or shipped.

I did this for a physics experiment. The average value I got for mew was 5.74 x 10^4. I'm not sure how accurate this is though. This was an average of the coefficients from the cart traveling both from left to right and right to left, and I found out that my track was indeed not as level as I had thought. Anyway, the average value I came up with seems to fit with my data, but it's important to remember that when the numbers get this small, the quality of the measuring devices stands out. My timers only went to the thousandths of a second and I'm not sure how accurate my measurements of distance were (possibly off by a tenth or more of a centimeter) and they could have changed without my noticing during the experiment. I found the value by taking an average velocity of a cart at two points, and then finding the average acceleration over the interval between the points , and then I was able to calculate the force of friction.

Cogging torque is the phenomenon where a permanent magnet motor experiences non-uniform force during rotation due to magnetic attraction between the rotor and stator teeth. This can cause vibrations, noise, and affect the smoothness of the motor operation. Design techniques such as skewing the rotor slots or using sinusoidal winding can help reduce cogging torque.

It's not. The coefficient of static friction is only equal to the tangent of the angle of incline at the maximum angle before the object begins to slide. At this point static friction equals the component of the weight along the incline (weight X sin alpha). Static friction is given by the coefficient of static friction times the normal force (weight X cos alpha) fs = us N = us mg cos(alpha) Wx =mg sin(alpha) fs = Wx us mg cos(alpha) = mg sin(alpha) us = [sin(alpha)] / [cos(alpha)] = tan(alpha) Similarly, the coefficient of kinetic friction equals the tangent of the angle of incline only if the object is sliding down the incline at constant velocity (net force equals zero). If the object is accelerating along the incline (make this the x axis): Fnet, x = Wx - f max = mg sin(alpha) - uk mg cos(alpha)

uk = [g sin(alpha) - ax] / [g cos(alpha)]

One way to separate H2O molecules (which are made up of H2O atoms) is through a process called electrolysis. By passing an electric current through water, it can be split into hydrogen and oxygen atoms. This method separates the H2O molecules into their constituent atoms.

The speed ratio formula is the ratio of the speed of the output gear to the speed of the input gear in a gear system. It is calculated as the number of teeth on the input gear divided by the number of teeth on the output gear.

Light bends when it passes near the gravitational field of a black hole due to the curvature of space-time caused by the intense gravity of the black hole. This effect is known as gravitational lensing, and it can cause light to follow a curved path around the black hole rather than a straight line.

The formula for work is given by: Work = Force x Distance x Cos(theta), where Force is the amount of force applied to an object, Distance is the distance over which the force is applied, and theta is the angle between the direction of the force and the direction of motion.