Mechanics

For this question recall the SUVAT formula, and the symettry argument for a projectile undergoing no resistance.

Use V=U + A x t (eqn 1)

Where

U is initial velocity

V is final velocity

A is acceleration

t is the time taken

Now using symettry arguments, U=-V=27m (taking upwards as positive)

Now, depending on the value of acceleration (solely gravity in this case), we can use A= -10, -9.8 or even -9.81 (negative because it is acting downward- this is key to the use of SUVAT formula without vectors) as standard. I will solve the problem with the first two, but show working so that you can input your own numbers if you wish:

rearrranging eqn 1:

V=U+At

V-U=At

t=(V-U)/A

For A=-10N/kg (m/s2)

t=(-27-27)/-10

t=54/10

t=5.4 seconds

For A=-9.8N/kg (m/s2)

t=-54/-9.8

t=5.5102 seconds (4 d.p.)

Oh and just in case you were interested:

Using the formula S=Ut+0.5at2 you can work out the total distance travelled:

S=27x5.4+0.5x-10x5.42

S=0

This result occurs because the total distance travelled is nothing, as the ball is thrown straight up and it returns to the same place.

To find the maximum height, using symmetry, halve the time:

S=27x2.7+0.5x-10x2.72

S=36.45 m (this is the maximum height)

Because friction is less on smooth surfaces.

Smoother the surfaces, lesser the friction.

The forces at work are balanced. Gravity is pulling the book (and the rope) down, and the rope exerts an equal and opposite force to keep the book suspended.

40 J

I will assume that the box is moving at a constant speed, so that the frictional force is 70 N. Frictional force is defined as F = mu(the greek letter) times the normal force(in this case, mg). We can figure the normal force to be 9.8 times the 58 kg, which is 568.4 Newtons. So now, we need to figure mu, and to do so, we divide the 70 newton force by the normal force. mu = .123.

When the direction of the vector is vertical.

Gravitational force has zero horizontal component.

Energy related to motion is called "kinetic energy".

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70mph

If the gun is stationary before the shot, then the momentum of the gun and the

momentum of the bullet are equal and opposite after the shot.

The critical Reynolds number is influenced by several factors, including the geometry of the flow system (such as pipe diameter or channel shape), the fluid properties (such as viscosity and density), and the flow conditions (like temperature and pressure). Additionally, surface roughness and the presence of disturbances can affect the transition from laminar to turbulent flow. In general, higher velocities and lower viscosities tend to increase the critical Reynolds number.

The slope of a force vs. time graph is equal to the change in momentum or the Impulse.

Resultant torque is the overall rotational effect produced by a combination of multiple torques acting on an object. It is calculated by vectorially adding all individual torques, taking into account their magnitudes and directions. The resultant torque determines the object's angular acceleration according to Newton's second law for rotation, which states that torque equals the moment of inertia multiplied by angular acceleration. A non-zero resultant torque indicates that the object will undergo angular motion or change its rotational state.

Friction force has NO "surface area" component. This is hard to understand (and it sounds like the teacher who asked this question doesn't quite understand either...). Imagine this-- A block of wood with a flat bottom and a legged wooded stool sit on a smooth inclined plane. Do we have to know the contact area (surface area) of the block or the stool legs to determine the angle at which each will slide? No. We merely need to know the applied weight and the coefficient of friction between the materials. So why does a dragster have such big smooth tires? Wouldn't thin knobby bicycle tires do as well? As far as the friction force is concerned, Yes. But the issue the dragster faces is how to transfer the engine power to the asphalt to accelerate the car. This involves HUGE problems of material strength, power, heat and wear that takes the problem far outside the narrow concerns of friction force.

Simple example for integrating instrument is energy meter that is used in houses which indicates the summation of readings(units) consumed...

You can go to the publishers website, and if you can be identified as an instructor and such a book is available, you can often get it for free.

If you are a student, you're better off if you dig through the book and other materials to find the solutions. You will remember it better and that will help you in the courses that follow and in the real world.

wedges can slice, pin or wedge into something.

YES

That depends on where the mass is in relation to other masses.

If it's on or near the surface of the Earth, then 925 kg weighs 9,071.5 Newtons (2,039.3 pounds).

It is a condition in which normal and shear stresses directed perpendicular to the "x-y"plane are assumed to be "zero"

The momentum is expressed as:

p = mv,

so assuming the velocity increases, the momentum of the body will increase too.

The pivot point of a lever system is called the fulcrum.

55 kpm is 34.2 mph.

Believe that individuals tend to maintain relatively consistent characteristics and behavior throughout their lives, with less room for change or flexibility in response to experiences or environmental influences. They may suggest that genetic factors play a stronger role in shaping traits and behaviors compared to environmental factors.