A 263 kg crate slides 3.2 m until coming to a stop after being pushed by a large man. The effective coefficient of kinetic friction between the crate and the surface is 0.13. Calculate the work done by friction .
WORK OUT AND USE UNITS

Answer:

Explanation:

Given:

M = 1 260 kg

V₀ = 26.9 m/s

V = 0 m/s

Δt = 9.36 s

___________

L - ?

1)

Vehicle acceleration:

a = (V - V₀) / Δt )  = (0 - 26.9) / 9.36  ≈ - 2.87 m/s²

2)

Braking distance of the car:

L = (V² - V₀²) / (2·a)

L = ( 0² - 26.9²) / (2·(-2.87)) ≈ 121 m

1000 kg is the mass of the ball.

To find the volume of a substance, divide its mass by its density (mass/density = volume). Consistent measurement units should always be used. If the density is specified in grams per cubic centimeter, for instance, then calculate the mass in grams and provide the volume in cubic centimeters.

From mass and volume measurements, the densities of brass and aluminum will be determined. Three different methods will be used to calculate volumes: geometrically (by measuring lengths); via water displacement; and via pycnometry.

The density calculation formula is p = m/V.

m = p*v

m = 100kg

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Mass of to object is 3 kg and 2 kg.

What is Gravitational force?

In mechanics, gravity, often known as gravitation, is the universal force of attraction that acts between all matter. It is by far the weakest known natural force and so has no effect on the internal properties of ordinary stuff. Due to its long reach and ubiquitous action, it influences the trajectories of bodies in the solar system and elsewhere in the universe, as well as the architecture and evolution of stars, galaxies, and the entire cosmos. The weight, or downward force of gravity, exerted by the Earth's mass on all bodies on Earth is proportional to their mass. The acceleration that freely falling objects experience is used to calculate gravity.

F =G(m1m2/r2)

m1m2 = [(1.00 X 10-8N)(20*10-2m)2]

/[6.67*10-11Nm2/kg2]

Now

m1-m2 =[(m1+m2)2-4m1m2] =[(5kg)2-4(6kg2)] =(1kg2) = 1kg 2m1 =

(m1+m2)+(m1-m2) = 5kg + 1kg =6kg

m1 = 3kg, m2 = 5kg,

and

m2 = 5kg - 3kg = 2kg

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Tension is defined as the pulling force transmitted axially using a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar 3-D object; tension might also be expressed as the action-reaction pair of forces acting at each end of said elements.

Maximum tension:

T - mg = mv²/L

By energy conservation:

mgh = ¹/₂ mv²

v² = 2gh

Now the tension force in the vine at this position is given as:

T = mg +  mv²/L

Now substitute the values in the above equation:

T = 688 N + m(2gh)/L

T = 688 + 2×3.2(688)/18

T = 932.6 N

As the force is less than the limit of 950 N so the vine didn't break.

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Answer: 20

Explanation: Because if you divide the astronauts weight by 10.

Answer:

1. It will reach a height of 31.877m

2. 5.102 seconds

3. -11.456 m/s

Explanation:

The magnitude of the net force on the proton is 0.

An object with zero net force will either remain stationary if initially stationary or maintain a constant velocity.

Fₙ = F₁ - F₂

Fₙ = Net force

F₁  and F₂ are applied forces

Now, F = ma

0 = ma

a = 0

Since acceleration is zero this implies that the object is moving with a constant velocity.

For the given case,

The proton is moving with a constant velocity along the y direction, which means the acceleration is zero. So, the net force is:

Fₙ = ma

Fₙ = m × 0

Fₙ = 0

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The distance travelled by the block of mass m will be l₀ + x or d which can be calculated through implementing the Conservation of energy from Work energy theorem

For  l₀ + x, (from figure)

sinᶿ = h / (l₀+x) ----- equation 1

We know from conservation of energy,

Ka + Ua = Kc + Uc

Here

Ka = kinetic energy at point A

Ua = potential energy at point A

Kc = kinetic energy at point C

Uc = potential energy at point C

Since the block is at rest Ka = 0 & block comes to rest after moving Kc = 0 as well

Therefore Ua = Uc

Ua = m.g.h

Uc = ½ kx²

m.g.h = ½ kx²

h = kx²/2mg ---- equation 2

Substitute the obtained value of h i.e. equation 2 in equation 1 for calculation of distance travelled by the block on an inclined plane.

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Answer:

d = (2mg sinθ) / k

Explanation:

We can use the conservation of energy.

At the point when the block comes to rest, all of its initial potential energy mgh is converted into the potential energy stored in the spring (1/2)kx², where x is the amount by which the spring is compressed.

Using trigonometry, we can see that the height h of the incline is equal to

d sinθ

where d is the distance traveled by the block down the incline.

We know this because d represents an incline and to find the y value of an incline we use sinθ

Therefore, we can write:

mgh = (1/2)kx²

Substituting h = d sinθ and solving for d, we get:

mgd sinθ = (1/2)kd²

d = (2mgsinθ)/k

Therefore, the correct answer for the distance that the block slides down the incline before coming momentarily to rest is (2mg sinθ)/k.

I hope this helped! :)

To find the speed of electrons, known the accelerated and wavelength.

What is acceleration?

The rate of change in both speed and direction of velocity over time is defined as acceleration. When anything moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is always shifting, motion on a circle accelerates even when the speed is constant.

What is wavelength?

A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters (mm).

λ=h/p

⇒ 200pm=h/m×v

V=6.626×10^⁻³⁴/9.1×10^⁻³¹×200×10^⁻¹²

=0.00364×10^⁻³⁺¹²

=0.00364×10⁹

v⇒3.64×10⁶m/s

Therefore, the speed of the electron accelerated to 3.64×10⁶m/s attain this wavelength.

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The speed with which the rock A, B and C  which are thrown same initial speed and same mass hit the ground is equal for all the rocks.

Let us consider the initial velocity be 1 m / s and the height of the cliff to be 10 m.

For the rock A which is thrown vertically downward,

v² = u² + 2 a s

v² = 1 + ( 2 * 9.8 * 10 )

v² = 197 m / s

v = 14 m / s

For rock B which is thrown horizontally,

vx = 1 m / s

v² = u² + 2 a s

v² = 0 + ( 2 * 9.8 * 10 )

v = 14 m / s

vy = 14 m / s

v = √ vx² + vy²

v = √ 1 + 14²

v = √ 197

v = 14 m / s

As we can see here all rocks start with same gravitational potential energy and end with same gravitational energy. So all rocks have equal velocity and kinetic energy, and so energy is conserved. So they all hit the ground with same speed.

Therefore, they all hit the ground with the same speed.

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The wheel's average net torque over the course of interval T is  Iωf/T (option-D).

An object's rotational velocity is altered by net torque. The velocity of an object is affected by net force. When pushed, the block moves horizontally and, assuming low friction, does not rotate.

Given ,

The wheel's initial angular speed, [tex]w_{i}[/tex] = 0

Final wheel angular velocity, [tex]w_{f}[/tex] = [tex]w_{f}[/tex]

The amount of time required to increase the wheel's angular speed t = T

The wheel's angular acceleration,

α = [tex]w_{f}[/tex] - [tex]w_{i}[/tex]/T

α = [tex]w_{f}[/tex] - 0/T

α = [tex]w_{f}[/tex]/T

Newton's Second Law of Rotation states:

The moment of inertia times the angular acceleration are equal when multiple torques are acting on a rigid body about a fixed axis.

τ = Iα

An expression for angular acceleration is:

α = (ωf - ωi) / T

α = ωf/T

As an alternative to the second law:

τ = Iωf/T.

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The average momentum of the avalanche was found to be 1.3×10^ 9 kg·m/s

what is momentum?

Momentum is the pace at which a security's price accelerates—that is, the rate at which the price changes. Momentum trading is a method that uses momentum to enter a trend while it is gaining traction.

Simply expressed, momentum is the tendency of a price trend to continue growing or dropping for a set period of time, taking into consideration both price and volume data. Momentum is commonly quantified using an oscillator in technical analysis and used to help detect trends.

Momentum is the quantity of motion of an item. If you know the object's velocity and mass, you can calculate its momentum. It will be simple once you understand the formula.

The average momentum of the above problem was 1.3 x 10^9Kg.m/s

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Answer:408

Explanation:

Answer:

  382.2 N

Explanation:

You want the normal force on an object weighing 437 N situated on an inclined plane 29° from the horizontal.

The vector 437 N straight down can be decomposed to vectors parallel to the plane and perpendicular to the plane. That decomposition looks like ...

  (perpendicular, parallel) = 437 N · (cos(29°), sin(29°)) ≈ (382.2, 211.9) N

The normal force on the object is about 382.2 N.

The reason for the first graph is because of the effects of deceleration and acceleration due to gravity while the arrangements of the graphs are; B> D > A> C.

When we plot a graph, the graph would always have to axes; the vertical axis and the horizontal axis. In this case, the vertical axis is the position and the horizontal axis is the time. The slope of this graph speaks of the displacement of the object.

Looking at the first graph, we can see that it can be able to show the motion of an object that went up and fell down as the speed of the object would decrease during the upward motion as it is decelerated due to gravity and comes to a halt at the maximum height before it is accelerated as it moves downwards.

From the graphs, the ranking of the displacements for the second set of graphs as; B> D > A> C. This is because there is a positive slope in B and D while the slope in A is zero and that in C is negative.

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The Hamiltonian of massless rod which has a point paricle at one of its ends, is Acos(ω0 t) + Bsin(ω0 t).

The Hamiltonian of a system in quantum mechanics is an operator that corresponds to the system's total energy, which includes both kinetic energy and potential energy.

It may be demonstrated that H = T + V, where T is the kinetic energy and V is the potential energy of the system—i.e., the Hamiltonian is equal to the total energy of the system—if the constraints in the issue do not depend explicitly on time.

Choose a coordinate system such that kˆ is pointing upwards

then the angular acceleration is given by

α = d^2 *θ /dt^2 * k

The torque about the center of mass is given in the statement of the problem as a restoring torque, therefore

τcm = −bθ kˆ .

The z-component of the rotational equation of motion is

−bθ = Icm * d^2 *θ / dt^2 .

This is a simple harmonic oscillator equation with solution is

θ(t) = Acos(ω0 t) + Bsin(ω0 t)

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the final velocity is 10.50 m/s.

calculation:

time t= 12.3 s

distance s= 200u=0

equations are,  v² = u² + 2as,

s = ut + ½at²

200= 0*12.3 + 1/2*a*

a=2.77

v² = u² + 2as,

v²= 0 + 2*2.77*200

v=10.50 m/s

A particle or object's movement with respect to time is expressed vectorially as velocity. The meter per second (m/s), usually referred to as speed, is the accepted unit of velocity magnitude.

An object's position and speed are mostly determined by its velocity. It calculates the distance an object travels in a specific length of time. The distance an object travels in a given amount of time is its velocity.

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The speed of the longitudinal wave is 1.584 or approximately 1.6 meters per second.

Longitudinal waves are waves in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is in the same direction as the wave's propagation.

Sound waves are one example of longitudinal waves. Waves of ultrasound P-waves from earthquakes

A longitudinal wave's key features include compression, rarefaction, wavelength, amplitude, period, and frequency.

To calculate the above answer multiply wavelength by frequency to get the speed of a wave.

That is:

2.4 x 0.66

= 1.584

Where the frequency is not given beforehand, you can divide 6 crests by 9.1 seconds to determine the frequency.

Hence, the speed of the longitudinal wave is 1.584 which is approximately 1.6.

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The difference between the Bohr model and the Schrödinger model is that the model electron orbitals as regions of space. Option C.

In the Bohr model, we can see that the electrons were arranged in energy levels. The energy levels are such that an electron can be promoted from a lower to a higher energy level. Each of the energy levels has a given amount of energy.

However, in the case of the Schrödinger model, we do not present the electron as resident at a particular point in space but we postulate that there is a region in space where the electron could be found.

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Answer:

100

Explanation:

The x component of the object's velocity is -8 m/s and the y component of the object's velocity at the given time is 7 m/s.

option B is the correct answer

The x and y components of the object's velocity at the given time is calculated as follows;

x = -3t³ - 5t²

y = 4t² + 3

where;'

At the given time, t = 1 second, the  x and y components of the object's velocity is;

x = -3(1)³ - 5(1) = -8

y = 4(1)² + 3 = 7

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According to the nebular hypothesis, small terrestrial planets are formed through the process of accretion, in which dense solid particles condensed and collided with one another as a result of their mutual gravitational pull.

As opposed to this, all heavier elements condensed near the sun and formed terrestrial planets, while lighter elements moved away from the sun and formed jovian planets due to the high temperature near the sun, which only allowed heavier particles to condense there.

The solar nebular hypothesis is the explanation put forth and accepted by most scientists as to how the earth came to be. It claims that a nebular, or huge clump of dust, is where the solar system originated. The heavier materials that could resist higher temperatures formed closer to the sun as the condensation of the nebular continued. Because these minerals weren't abundant, the planets they generated weren't very big.

The Jovian planets, on the other hand, formed above the frost line and could support icy compounds. These planets' larger sizes can be attributed to the abundance of ices that formed them. The lighter hydrogen and helium elements were stripped away by solar winds, which caused their accumulation far from the sun.

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The car travels a distance of 50ft before stopping, at a rate of 40 ft/sec when the brakes are applied. the car deceleration at a constant rate of 16 ft/sec^2.

Given , Initial speed of the coz ( Vo ) = 40 ft/ sec

Deceleration of the car (dv/dt ) = - 16 Ft/ sec^2

Final speed of the car (Vx ) = 0 Ft / sec

Let the distance travelled by the can be x at

any time t. Let u be the velocity at any time t .

Now , deceleration means rate of decrease of velocity.

So ,

dv/dt = - 16 ft / sec^2

decreasing with

Negative sign means the velocity is decreasing with time .

dv/dt = dv/dx(dx/dt)

dv/dx(dx/dt) = -16

dx/dt = v, so

v dv/dx = -16

vdv = -16 dx

Integrating both sides under the limit 40 to o

0 to x for 'x '. This gives

[tex]\int\limits^0_ a {v} \, dx = \int\limits^0_x {-16} \, dx[/tex]

Here, a=40

x=800/16

x=50ft.

The car travels a distance of 50ft

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Answer: Electrical Conductors

Explanation: Electrical conductors allow electric current to flow easily because of the make up of their atoms. In a conductor, the outer electrons of the atom are loosely bound and can freely move through the material when an electric charge is applied. In general, the best electrical conductors are metals.

Equation (8.10) provides the following form for the angular acceleration "alpha," which is proportional to the radius "rr," and the tangential acceleration "aa."

A wheel's angular acceleration is alpha = 6.0t4 - 4.0t2, where alpha is measured in radians per second squared and t is measured in seconds. The wheel has an angular position of +1.0 rad and an angular velocity of +2.0 rad/s at time t = 0.

=rα \s1: The most popular units for angular acceleration are rad/s2 and rad/s. 2 . Similar to how a + or - sign designates the direction of linear acceleration in one dimension, a + or - sign designates the direction of angular acceleration along a fixed axis.

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The method of radiation is faster through a vacuum, the method of convection is faster through a gas and the method of conduction is faster through a solid.

There are three modes of heat transfer:

conduction

convection, and

radiation

Radiation:

The emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles causes ionization. As we know vacuum does not require any medium so radiation is the heat transfer which is faster in a vacuum.

Therefore we get that in vacuum radiation, solid conduction, and gas convection heat transfer is faster.

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Rachel is correct because during the collision, each body exerts an equal and opposite force on the other, the forces act at equal time intervals, and the law of momentum and vector equation represents conservation for an isolated system.

The law of momentum conservation states that within an isolated system in which two or more bodies act on each other (collision of objects), the total momentum remains constant because momentum is neither created nor destroyed, but only changed by the application of external forces as described by Newton's laws of motion. Furthermore, the law states that the force acts on both objects at the same time and that the forces between the objects are equal.

That is stated by the law of momentum conservation. The total momentum of two or more bodies acting on each other in an isolated system remains constant unless an external force is applied.

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Flow doesn't depends on absolute values of P1 and P2

Flow doesn't depends on absolute values of P1 and P2 but flow depends on pressure difference between top and bottom of each sides. This conclude that whenever  { P2-P4 = P1-P3 } flow will be stop.

after some time, difference in pressure across either components is

{  P​​​​​​(Top) - P​​​​(bottom) }

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The wire must be cut at a length of l/5 along its length so that the resistance of one piece is four times the resistance of other.

The relation between the resistance the resistivity the area and the length of the wire is given by,

R = pl/A

p is resistivity,

A is the area,

l is the length of the wire.

Let us say that the peace of length X is cut from the wire,

So, length of one piece is x and of the other is (l-x)

The resistance of the bigger price has to be four times of the other.

So, we can write,

px/A = 4p(l-x)/A

x = 4l-4x

5x = l

x = l/5.

So, the wire should be cut at a point l/5 from one of the ends of the wire.

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